TR No. 22
TURBULENCE MEASUREMENTS
IN A TIDAL CURRENT
by: A. T. Massey
NAVAL UNDERWATER WEAPONS
ace i
ew Te RESEARCH AND ENGINEERING STATION
WATER © ec)
Uae NEWPORT, RHODE ISLAND
a
GL ee been approved
3313
| / SZ aa am Ar
‘m3 UNCLASSIFIED
y
UNCLASSIFIED
NAVAL UNDERWATER WEAPONS RESEARCH AND ENGINEERING STATION
August 1968
Task Assignment No.
NEWPORT, RHODE ISLAND
TECHNICAL REPORT
TURBULENCE MEASUREMENTS IN A TIDAL CURRENT
Prepared by: At Msaey—
Ae aie
Gs, Go es
Technical Director
M. J. WINTON
Commander, USN
Commanding Officer
R360-FR-107/219 1/R011-01-01
This document has been ‘approved for public release
and salé; its distribution is Unlimited.
TR No. 22
UNC LASS TIFIED
FOREWORD
This report was submitted to the Department of
Meteorology at the Massachusetts Institute of Technology
in partial fulfillment of the requirements for the degree
of Master of Science.
All work was performed under Task Assignment
No. R360-FR-107/219 1/Rol1-01-01.
TR No.
TR No, 22
ABSTRACT
Measurements were made of the component of turbulent velocity along
the axis of a 3-knot tidal current 1.5 meters below the water surface
using a ducted impeller current meter. Values of the one-dimensional
energy spectra were computed on a digital computer at wave numbers from
0 em-l to 0.157 cm=), The composite energy spectrum obtained from the
individual spectra was of the -5/3 power law form predicted by the
Kolmogoroff hypothesis for wave numbers from 0.01 cm=! to 0,026 cm-l.
At higher wave numbers the energy spectrum decreased more rapidly than
predicted because of attenuation of the turbulent velocity variations
caused by the relatively large size of the current meter. The average
variance for the field of turbulence was 55.6 cm2 - sec~* 425.0 (standard
error), and the average rate of energy dissipation by viscosity was es-
timated using the Kolmogoroff hypothesis as 0.84 em? - sec”,
ii
TR No. 22
ACKNOWLEDGEMENTS
Gratitude is expressed for the assistance of Miss Diane Riley,
Thomas Conrad, John Sabulis, and Robert Gunning of the Naval Underwater
Weapons Research and Engineering Station in the data processing, and
for the assistance of Wilfred Buckley in making the measurements. Much
thanks is due Dr. David Shonting for the valuable assitance given in
connection with the instrumentation and data analysis. The astute
guidance and interest given by Professor Eric Mollo-Christensen is
greatly appreciated. In particular, I wish to thank my supervisor,
Raymond J. Grady, for the encouragement and useful suggestions he has
provided throughout.
iii
Abst ract
TABLE OF CONTENTS
etooeeoooeondgeeteonvnooseentso0d
go0o0oeoedveo0o06800068
Acknowledgements .csoococcecerooccoescesegrnsnsnacoee
List of IBLE EO OOO DDC ODOCOOOODODOO000NO000000000006
List of MAME Ob O000.00 GOCO0O00 00000000 0000000000000
NOMeNCLA GUC iororoveoreleve/ ele) efelclelolerelelelololelolorelalelevelersiclcievayelclolele
MBI WALONG GHOGOODODDOOOOOORODDOGOOOGCOD00dD000000
TMNSEGUMENtATHOri co eaicie c\clelc elele\e erclelclelelelcro
6
Description of the Ducted Impeller Current Meter.
Calibrationcsseccce
Response Time oscere
Sensitivity.-coresc:
Output .eccsecssccee
AVTAS ING 5c. ¢ 6160 6416 06
Field ObservationsS...-..¢
e
o
°
o
e
Data ANG SUS crovercicyolelevote/slecrerorolets
a
a2ee
o
ry
a
°
2
2
Analog to Digital Conversion...
¢¢r oe
of
@
2
eae
oe
°
o
@
J]
9
8
6
eseceteecetnac@asaesd
°
6
¢
6
®
TR No, 22
6
6
e
2
e
Computation of Autocovariance Series & Energy Spectra
Location of Samples..
Results and Discussion...
2
INOHSSrcroretavelcrcreretenovalene
Statistical Variations Among Samples
€
i.)
t.)
coese
eceese
ocaoes
0
ees
ee
tec
200978
@oveed
eeetaec
Copalwe Cn, ogadsoesoooagdncoqacoeadooeen
Planned IRSEISEWEA 6 BO COC OUO00000 GO D00G00CE
€
o¢
eocecenea
6
e
°
e
6
6
iJ
e
e
e6
chet platen
oe vi
eo Viil
9° ix
o8 Al
2° 4
00 h
oe 4
2° >
es f
2° 7
26 8
25 16
33 12
see
gar ‘aha!
sa alle
4 20
20
to 22
50. BS
sree
TR No. 22
Page No.
RERETENCES) wellereleleveotenel cle eusleveellelierolelels\eileek=s/(eiis S0000' pe0Db0 OS 506.0010 6.00 29
Appendix A Response of Current Meter to Accelerated Flow...... A-1
Appendix B Computer Programs............-. SaG0DDGOcEOMOD OCC OuUDO B-1
Appendix C Numerical Tabulation of Results........ socoooodddaa Gal
TR No.
ILLUSTRATIONS
Ducted Impeller Current Meter, 3/4 View
Ducted Impeller Current Meter, End View
Waveforms of Outputs of Current Meter and Schmidt Trigger
Waveforms of Outputs of Current Meter and Binomial Counter
Calibration Curve for the Current Meter
Calibration Coefficient vs Angle between Axis of Current Meter and
Direction of Flow
Wind Tunnel Calibration Curve for the Current Meter
Section of C. & G S. Chart No. 353 Showing the Area within Which
Measurements Were Made
Lower End of Mounting Strut and Current Meter
Mounting Strut on Bow of Boat
NUWS Torpedo Retriever
Block Diagram of Analog to Digital Conversion Process
Typical Digitized Velocity Data
Typical Digitized Velocity Data
Typical Digitized Velocity Data
Typical Digitized Velocity Data
Typical Digitized Velocity Data
Autocovariance Series Corresponding to Figure 13
Autocovariance Series Corresponding to Figure 14
Autocovariance Series Corresponding to Figure 15
Autocovariance Series Corresponding to Figure 16
Autocovariance Series Corresponding to Figure 17
Energy Spectrum Corresponding to Figure 13
Energy Spectrum Corresponding to Figure 14
vi
22
TR No. 22
ILLUSTRATIONS - cont'd
Cole
26.
Calas
28.
29.
310),
Buk
Bee
33.
3h.
Energy Spectrum Corresponding to Figure 15
Energy Spectrum Corresponding to Figure 16
Energy Spectrum Corresponding to Figure 17
Variance vs Downstream Distance from Channel Buoys
Composite Energy Spectrum
Composite Energy Spectrum with Noise Correction
Braincon Corp Type 430 Ducted Impeller Current Meter, 3/4 View
Braincon Corp Type 430 Ducted Impeller Current Meter, End View
Modified Cox Company Turbine Flow Meter, 3/4 View
Modified Cox Company Turbine Flow Meter, End View
Current Meter Mounted in Wind Tunnel for Measurements
of Response Time
Instrumentation for Measurements of Response Time
Response of Current Meter as a Function of Time for Step
Function Change in Wind Tunnel Velocity
Response Time as Function of Mean Velocity
vii
TR No. 22
TABLES
Page
mevolley il, AUHLGlEML (Ciuaartcahey eho Sieehwaloml. Lio 5 5 boo Oo Oot Oo MD
Table 2. Representative Section of the Computer Printout
Of the DigitrzedeViellocdtyeWataueg mal voce LA. alec) vel ety Gouueuam eevee
Mable. (3. ". POSTtIONS .Of Samplesiist sud eibn ce timia ost es 8 de ee oem es tees ee ELS
Vali
TR No. 22
NOMENCLATURE
three-dimensional energy spectrum function (cae)
=2
energy of the turbulence per unit mass (cn =sec )
rate of dissipation of energy by viscosity (encesaens)
one-dimensional energy spectrum (em3=sec™*)
=]
wave number (cm )
wave number at which the maximum in the energy spectrum
is located (cm=1)
wave number at which the maximum in the dissipation spectrum
is located (cm)
time (sec)
component of velocity along axis of current relative to
boat (cm-sec™+)
velocity of towing along axis of current (emesec™!)
distance of advance of the current meter relative to the
water along axis of current (cm)
distance along axis of current relative to channel buoys
(meters )
component of current along axis (meters-sec™=)
component of turbulent velocity along axis of current;
u(x) = U(x) + u'(x) (cmesec™)
intervals at which data is spaced; x =k Lyn i = 0),
als 1 een (em)
lag (cm)
intervals at which values of the autocovariance series are
computed;
=n AX x. m= Ly 2.7355 leaioreen at Gem)
1%
L
ae
35
Tt
Ty
Ra(k AS )
on S
Vaio)
Ry(k O§ )
TR No. 22
maximum lag at which a value of the autocovariance
series is computed (cm)
length of sample (cm)
Nyquist wave number (cm=1}
time from start of run to beginning of ith rotation of
impeller (sec)
period of rotation of the impeller (sec)
period of ith rotation of impeller (sec)
apparent autocovariance function (cm@=sec™*)
hanning lag function (non-dimensional)
hanning spectral function; the Fourier transform of
fy( & ) (cm)
=)
aes ; : 2 =
modified apparent autocovariance function (cm“=sec
aliased, modified, one-dimensional energy spectrums the
Fourier transform of the autocovariance series
ee ASS) (om3-sec™-)
velocity of water flowing through current meter
(cm=sec=1}
angular velocity of impeller (rad-sec71)
diameter of impeller (cm)
advance diameter ratio; J = u/(@) D) (non-dimensional)
moment of inertia of impeller (gram-cm®)
calibration coefficient of the current meter (cm)
resultant driving torque on impeller (dyne=cm)
angle between axis of current meter and the direction of
towing (degrees)
TR No. 22
constant component of velocity (cm-sec~1) «©
varying component of velocity (cm-sec71)
constant component of impeller angular velocity (rad-sec71)
varying component of impeller angular velocity (rad-sec~1)
response time (sec)
response distance (cm)
highest frequency at which the current meter is responsive to
variations in velocity (Hz)
wave number corresponding to Prax (em _)
average value of the instantaneous velocity u(x) over the
interval A x(cm-sec™~)
kinematic vicosity (cm@-sec~1)
density (gram-cm73)
vector position of point in space (cm)
vector displacement with respect tox (cm)
ith component of turbulent velocity (cm-sec71)
Fourier transform of the autocorrelation series; P on © K)
divided by the variance R,(0) (cm)
a
error in the ith value of uj(cm-sec™+)
error in the kth value of the autocovariance series
(cm2-sec72)
variance of the ith sample (cm@-sec™2)
value of the eampued energy spectrum for the ith
sample (cm3-sec"*)
? san(K) divided by the variance of the ith sample (cm)
final, constant value of the step function change in the
velocity (cm-sec~t)
angular velocity corresponding to uf (rad-sec7l)
initial period of rotation of the impeller (sec) é
final period of rotation of the impeller (sec)
eal
TR No. 22
INTRODUCTION
The important problems in the theory of turbulence are; the
determination of the energy spectrum function, E(K, t), and hence
the total kinetic energy of the turbulence, E, and the rate, € ,
at which the energy is dissipated by viscosity; the change in E(K ,t),
E and with decay. A limited number of theoretical predictions are
available concerning the form of the energy spectrum function in the
low wave number range of the spectrum, the reason being that the
structure of turbulence in the low wave number range is, in general,
inhomogeneous, anisotropic and strongly dependent on the mean flow from
which the energy of the turbulence is derived. Such characterisitcs
result in an intractable theoretical analysis.
The structure of turbulence in the high wave number range of the
spectrum, however, has been hypothesized (Kolmogoroff, 1941) to be
homogeneous, isotropic and statistically independent of the mean flow.
The Kolmogoroff hypothesis states that at sufficiently high wave numbers
the statistical structure of turbulence has a universal form and is
uniquely determined by the parameters€ and V, the kinematic viscosity.
The range of wave numbers for which the preceding is applicable is known
as the universal equilibrium range, Within this range it can be shown
through dimensional analysis that the energy spectrum function can be
written as
HY iG
E(Ge | ek ay), (1)
where Fk/k,) is a universal function and
as (2/25 (2)
is the wave number (approximately) at which the maximum in the energy
dissipation spectrum is located.
TR No. 22
It has further been hypothesized (Kolmogoroff, 1941) that if
there exists within the equilibrium range of wave numbers a range (the
inertial subrange) where dissipation is negligible, then E(/X, t) is
independent of Y and therefore of Ky 3 and consequently F(K/ky must
be a constant, Therefore, within the inertial subrange,
BR Se
BORO RIE Ra (3)
The necessary condition fcr the existence of an inertial subrange
of wave numbers has been shown (Batchelor, 1) to be that condition in
which the Reynolds number of the turbulence is large enough so that the
Wave numbers corresponding to the maximum dissipation of energy and to
the maximum energy are considerably separated on the wave number scale.
This condition is satisfied (Grant, Stewart and Moilliet, 2) in large
scale oceanographic flows, wherein the wave numbers corresponding to the
Maximum energy are several orders of magnitude smaller than those cor-
responding to the maximum dissipation of energy. (The wave numbers cor-
responding to the maximum dissipation of energy are of the same order of
Magnitude for oceanographic turbulence as for laboratory turbulence. )
Measurements of the turbulent velocity component parallel to the
axis of a tidal current were made by Grant, Stewart and Moilliet (2)
using a hot film anemometer mounted on the front of a heavy, towed body.
The instrument was towed from the research vessel C. N. A. Ve OSHAWA at
a depth of 15 meters in Discovery Passage, adjacent to Vancouver Island.
One-dimensional energy spectra were derived from samples of the data
using analog filtering techniques over the range of wave numbers from
0.01 em™*+ to 35 em™1, ‘The spectra followed the -5/3 power law predicted
by the Kolmogoroff hypothesis from wave numbers of around 0.01 em™t to
emt, thus indicating the extensiveness and importance of the inertial
subrange in oceanographic turbulence, Similar measurements have been made
by Grant and Moilliet (3) of the turbulent velocity component perpendicular
to the axis of a tidal cyrrent (Discovery Passage south of Cape Mudge).
Although a calibration of the hot film anemometer was not obtained, the
spectra were of the -5/3 power law form when represented on an arbitrary
scale, The first set of measurements allowed the energy dissipation
spectra to be calculated, from which values of € and hence the universal
constant K could be determined.
TR No. 22
Additional measurements have been made by Grant and Stewart (5)
of the turbulence spectra in a tidal current (Georgia Straight and
Juan De Fuca Straight) near the water surface in the presence of sur-
face waves and noise. The results of the previous measurements were
used to determine values of € , although the energy dissipation spectra
could not be calculated because of the interference.
Complementary measurements to those of Grant et al were made over
the low wave number anisotropic range of the spectrum from approximately
0.01 meters™+ to 2.0 meters~1 by Bowden (6) and by Bowden and Howe (4).
The jactrument used. was an electromagnetic flowmeter. Although the
Kolmogoroif hypothesis does not apply to the low wave number range, the
spectra obtained from the measurements by Bowden and Howe were reported
to follow a power law similar to that predicted by the Kolmogoroff
hypothesis, but with an exponent of the order of -1.3 instead of -5/3
for wave numbers from approximately 0.001 om=+ to 0.01 em7+,
Shonting (8, 9, 15, 16) has used a ducted impeller ocean current
meter to make measurements of the particls motions in ocean waves to
frequencies of 2,5 Hz. The results demonstrated the potential of the
current meter for measuring relatively high frequency and/or wave number
oceanographic turbulence. The hot film anemometer used previously (2,3,5)
is a complex instrument requiring considerable electronic equipment to
obtain an output suitable for data analysis. In addition, difficulties
are encountered in using the hot film anemometer probe at sea because of
the corrosive and electrolytic properties and the high level of contamina-
tion of sea water. The advantages of the ducted impeller current meter in
comparison are simplicity, sturdiness, and reliability, desirable characteris-
tics in an oceanographic instrument; the output of the current meter is of the
appropriate form for digital spectral analysis with respect to wave number.
The objectives of the measurements reported herein, then, are to; (1) obtain,
using the current meter, additional turbulence spectra from a tidal current
which can be compared with the spectra obtained using the hot film anemometer
in order to determine the applicability and/or the limitations of the current
meter for measuring oceanographic turbulence; (2) provide additional experi-
mental confirmation of the Kolmogoroff hypothesis.
w
Figure L
Ducted Impeller Current Meter, 3/4 View
TR No.
Ce.
TR No. 22
INSTRUMENT ATION
The ducted impeller oceanographic current meter (figures 1 and 2)
consists of a six-bladed impeller axially mounted in the center of a
brass cylinder approximately 8.5 cm in diameter and 15 cm long. The
impeller is manufactured of micarta (laminated phenol formaldehyde).
The impeller shaft is terminated at either end with carbide pins
which rest in quartz V-bearings mounted in neoprene; it is supported
at either end by three struts spaced 120 degrees apart. A miniature
Magnet (weighing around 5 grams) is imbedded in the tip of each blade,
and a coil is potted with epoxy resin in a housing mounted externally
on the cylinder.
In operation, the instrument is aligned with the water flow which,
impinging on the blades of the impeller, is defiected with a resultant
force exerted on the blade surface causing the impeller to rotate. When
a constant angular velocity has been achieved, the angular velocity is
directly proportional to the water current over the specified linear
operating range of the instrument; the constant of proportionality is the
calibration coefficient, k, for the current meter. The rotation of the
impeller, and consequently the passage of the magnets in the tip of each
blade past the coil, induces a series of voltage pulses which are trans-=
mitted through a two-conductor waterproof cable to appropriate recording
instrumentation. The frequency of the pulses generated thus becomes a
measure of the water velocity. The waveform obtained from the current
meter is shown in figures 3 and 1,
Calibration
The current meter was calibrated in a water tank by towing the
instrument at various known, constant velocities and measuring the fre-
quency of the pulses generated. For the calibration, the axis of the
current meter was aligned with the towing direction. The calibration
curve is shown in figure 5, from which the calibration coefficient, the
slope of the calibration curve in the linear range, was determined as
3.12 cm. Thus,
(LC) (me Pas) 2 SD (red ee BS cm ie (4)
Figure 2
Ducted Impeller Current Meter, End View
TR No.
22
TR No.
Figure 3
Waveforms of Outputs of Current Meter and Schmidt Trigger
22
22
TR No.
Waveforms of Outputs of Current Meter and Binomial Counter
Figure 4
SLOPE = 1/2nk
4 = 0.0510 ROTATIONS/cm
IMPELLER ANGULAR VELOCITY, (2 (RPS)
0 20
40 60 80
WATER VELOCITY, U (cm/SEC)
Calibration Curve for the Current Meter
Hieure 5
TR No.
1.0
k (0)/k(0)
0.8
0.6
0.4
0.2
0 20 40 60 80 100
®@ (DEG)
(® = MEASURED VALUES; ... = COSINE 8)
Calibration Coefficient vs Angle Between Axis of Current Meter
and Direction of Flow
Figure 6
TR No. 22
Additional tests were performed to determine the variation of the
calibration coefficient with flow direction. For these tests the axis
of the current meter was set at various known angles relative to the
towing direction, and the frequency output was measured at known, con-
stant velocities. The variation of k as a function of GC, the angle
between the axis of the current meter and the towing direction, is
shown in figure 6, which indicates that k is given very closely by
Ix (&) =K(6) Gs 2 B12 2 Z2ec (5)
The largest deviation occurred at values of @ near "7/2 and was probably
caused by asymmetry in the mounting arrangement. Since the component of
velocity
= “ A A
q = iu + jv + kw
in the x direction (taken along the axis of the current meter) is
u = [7 | cos B 5
the current meter is sensitive to the component of velocity along the axis
and insensitive to the components perpendicular to the axis. A second
calibration of the current meter was obtained using a low speed wind tunnel
(appendix A), The calibration curve is shown in figure 7. The slope of
the straight line is the same as that obtained from the in-water calibration,
but the straight line intercepts the U axis at 10 cm-sec™/ instead of
passing through the origin. Since the measurements were performed at relatively
low wind tunnel velocities, the difference is attributed to error in measuring
the low velocities with a pitot static probe. The correct value of the cali-
bration coefficient is assumed to be the in-water value.
Response to Accelerated Flow
The current meter has been used (Shonting, 8, 9, 15, 16) previously to
make measurements of the particle motions in ocean waves. For those measure=
ments the mean water velocity was zero or near zero. Under such conditions
it was determined through wind tunnel and in-water tests (8, 22) that the
response time of the current meter for a step function change in water velocity
IMPELLER ANGULAR VELOCITY, § 2 (RPS)
Figure 7
e = MEASURED VALUES 7
- - -- = WATER TANK CALIBRATION ,
20 40 60 80 100
WATER VELOCITY, U (cm/SEC)
Wind Tunnel Calibration Curve for the Current Meter
TR No.
120
22
TR No. 22
is of the order of 50-70 milliseconds, In making the turbulence measure-
ments reported herein, however, a towing velocity of approximately 400 cm-sec™
was superimposed on the turbulent velocity field. Therefore it was necessary
to determine the response of the current meter to a step function change in
velocity superimposed on a mean velocity. Wind tunnel measurements of the
response time of the current meter are described in appendix A. It was found
that the response time for a relatively small step function change in water
velocity varies inversely with the mean velocity such that the product of the
response time and the mean velocity (the response distance) is a constant with
a value of 0.97 cm. The frequency response of the instrument is determined by
the response time; the instrument is insensitive to variations in velocity
occurring at frequencies greater than
]
Ms
sisted << Srp re (6)
1
Assuming that Taylor's hypothesis is applicable, that is,
aU
a+ i rials eae
(7)
this corresponds to a wave number of
| <¢ a K elle
ee Peane ies = (8)
which, from the previous measurements of response time, is
balls mie =|
Fe Ae Gua eas icine
Thus the current meter hag the capability for measuring turbulence over the
constant range of wave numbers from 0 to 0.103 om71, regardless of the mean
velocity superimposed on the turbulent field by towing. (Actually the value
given for Kay, is optimistic because of the size of the current meter, 15. cm
long; a more reasonable value is of the order of 1/150 cm = 0.0068 em~,)
Since spectral analysis of turbulence is more correctly performed with respect
to wave number than frequency, this is an important result.
TR No. 22
Sensitivity
The lowest water velocity sufficient to maintain a constant angular
velocity of the impeller is of the order of 5 to 7 em-sec™+, No measure-~
ments were made to determine the sensitvity of the current meter as a
function of velocity, but typical commercially available turbine flow
meters have sensitivities equal to +0.25% or less of the mean velocity.
If the performance of the ducted impeller current meter is assumed equal
to that of commercial flow meters, it has a sensitivity of f1 cm-sec~+
Output
From the calibration coefficient, the distance required for the
current meter to advance relative to the water in order for the impeller to
complete one rotation is
21K = (6.28)(3.12 cm) = 19.61 cm,
The output of the current meter is six pulses per rotation or 6 pulses/19.61 cm =
0.306 pulses per cm advance. In practice the output of the current meter was
modified using a Schmidt trigger-binomial counter circuit in a divide-by-six
mode to obtain one pulse instead of six per rotation of the impeller. This was
found necessary because of the approximately 410% variation in angular spacing
between adjacent impeller blades, which otherwise would have resulted in a noise
level (measurable) corresponding to variations in velocity t40 cm=sec"+, The
practical output of the current meter is 1/19.61 cm = 0.051 pulses per cm
advance.
The recorded data consists of successive periods per rotation of the impeller;
corresponding values of the water velocity can be computed using the calibration
coefficient:
hi ae
Uy = ae Sy ean Ueki eS (10)
The term u; is the average value of the instantaneous velocity u(x) over the
interval of time T;. Since a mean velocity is superimposed on the turbulent
TR No. 22
velocity component,
= !
tao U;, +u
Multiplying by T;,
T= 19/62) eme= Us Ty ul ae
The expression U; T; is the distance relative. to. the water which the
current meter has advanced in the interval T... Hence if u'; is negligible
compared to Uj, the values of u; are obtained at distances of x;, and are
approximately equally spaced at intervals of AAx = 19.61 cm, regardless
of the mean velocity. The error in assuming that the data are equally
spaced is of the order of tu'y/Uj = +10/400 = 42.5% for the measurements
reported herein, which is not greater than the existing ambiguity in
establishing the correspondence between the values uj and the series of
times
a4 |
+ =a
J
Jeo
Such equally spaced data are of the appropriate form for digital spectral
analysis with respect to wave number.
Aliasing
A discussion of the problem of aliasing is given by Blackman and
Tukey (17) where it is shown that if there are significant contributions to
the energy from velocity variations occuring at wave numbers greater than
tne Nyquist wave number given by
//
a pale
Kn a Sow [in interval Re
Cad ZL: (11)
then the computed ehergy spectrum is in error at all wave number. The
Nyquist wave number for the data obtained from the current meter is tr /19.61 cm
0.157 em71
TR No. 22
The equally spaced values of velocity can be considered to result
from sampling the average velocity
Met (12)
at intervals of ZXx. Equation 12 can be written as a centered moving
average;
Bliotie doh U-x') du!
SEO (13)
where
ih OW Wace
Et? Du Vam Te
O* otherwise
(14)
If the Fourier transform of u(x) is dz( K ) and that of @(x) is @(K des
é then, applying the convolution theorem,
a) Kox)
sin (2 ae lk)
( Be ) (15)
Siy ca ise %)
ISESION
eel)
A (k) =
The quantity
is the Fourier transform of h(x) and operates on the energy spectrum as a
low pass filter. Variations in velocity occuring at wave numbers greater
than around TWHAK = 0.157 cm~! are strongly attenuated. Since this value
TR No. 22
is equal to the Nyquist wave number, and since velocity variations at
wave numbers greater than about 0.007 cm-l (see section under "Response
to Accelerated Flow") can be expected to be attenuated because of the
dimensions of the current meter, aliasing is not considered a problem.
FIELD OBSERVATIONS
Figure 8 is a section of C. & G. S. Chart No. 353 showing the area
within which measurements were made. The area is located in the Sakonnet
River between the north end of Aquidneck Island and Tiverton, R. I. The
area indicated on the chart as Station I is formed from stone breakwaters
projecting from the island and the mainland. The tidal current at Station I
is given in Table 1 which was constructed from information given in the tide
and current tables (20),
Table 1. Tidal Current at Station I.
Time with respect to high Current at Station I
tide at Newport, R. I. ohh ea cs Ree
High Tide 1.7 knots South
1 hour(s) after Do oy WW
2 Ww WwW 3.0 Ww ih]
3 Lh] ] Di? w i
m1 " a8 1.2 " 1
5 WU u 1.1 knots North
6 i u - see Note
7 Ww wy = ih Ww
8 we we a " Ww
9 W we a Ww ty
LO) HS 2.3 knots North
Te M 2.0 knots South
12 we in) 1.0 w Ww
NOTE: The current during this time interval is unpredictable, can change
rapidly from North to South or from South to North, and can be as much as
3.0 knots in either direction.
10
FIXED BRIDGE
HOR. CL. 3) FT
ne
=~
smouth
VERT. CL. 12 FT. \ \
OVERHEAD POWER CABLE 0
;AUTHORIZED CL. 95 FT. \W
4 5 JO.
_THE COVE *
/,)
fale Areal /| oF |
YAWN U (
MN \ VA
i 1] Wi 4
‘s \ |
Section of C. & G. S. Chart No. 353 Showing the Area
Figure 8
Within Which Measurements Were Made
TR No, 22
Measurements were made on 4 November 1966 from 1300 hours to 1400
hours, The time of high tide at Newport was given as 1130 hours, and
therefore measurements were made during the interval when the current
was a maximum of 3.0 knots south.
The width of the channel at Station I is approximately 116 meters,
and the depth 6.7 meters, North of Station I the depth is 18.6 meters,
and in the area from Station I to Station II, 800 meters south of I, the
depth varies from around 10 to 20 meters, with a width of about 400 meters.
The Reynolds number based on width at Station I is approximately 1.3 x 108,
Figures 9, 10, and 11 show the method of mounting the current meter
on the bow of the NUWS boat, a 74-foot OAL torpedo retreiver. Brackets were
fabricated to support the mount ing strut, an 11 1/2-ft long section of
steel pipe approximately 1 1/2" in diameter, to the lower end of which was
clamped a 3-ft length of 3/16-in by 3-in steel bar stock, along the bow.
When in position the lower end of the strut extended approximately 1 1/2
meters below the surface of the water. The current meter was affixed to the
end of the strut in a horizontal position; the clamping arrangement allowed
the bar stock to be rotated so that the axis of the current meter could be
aligned with the centerline of the boat.
The current meter output was recorded on FM magnetic tape at 30 inches/
Sec on a Precision Instrument PI-2100 recorder, It was necessary to include
an attenuator in the circuit to reduce the signal level 8 dB to an appropriate
level for the recorder, A gasoline engine driven 115 VAC generator followed
by a Sorensen voltage regulator was used to supply power to the recorder.
The original intention was to proceed against the current from Station II
to Station I along the centerline of the channel at as slow a velocity as pos-
sible in order to obtain the maximum amount of data with a minimum change in
position or downstream distance from the channel buoys, The ideal technique
would have been to tow the instrument at a velocity equal to that of the cur-
rent. The first run showed that this was impracticable as it was impossible
to control the boat in the turbulence at such low velocities, The remaining
runs were made at a velocity of 4 meters-sec”+ relative to the water; the
engine RPM was maintained constant throughout. A typical run consisted of
dial
TR No.
22
Figure 9
Lower End of Mounting Strut and Current Meter
LO
Mounting Strut on Bow of Boat
TR No.
22
Figure 11
NUWS Torpedo Retriever
TR No.
22
TR No. 22
proceeding against and along the center of the current from the vicinity
of Station II to Station I. Four runs were made.proceeding with the
current and four against (including the first, the data from which was not
analyzed). On each run, the instant when the boat passed between the
channel buoys was observed and recorded.
A light southerly breeze prevailed during the time measurements were
made; surface waves were limited to wave heights. of a few centimeters and
therefore no wave particle motions should have. been recorded, although
the current meter was only 1 1/2 meters below the water surface.
DATA ANALYSIS
Analog to Digital Conversion
The data analysis follows the procedure given by Blackman and Tukey (17).
Figure 12 is a block diagram indicating the process involved in obtaining data in
digital form appropriate for computer analysis. The original data was recorded
on 1/2 inch magnetic tape at 30 inches-sec”~ and has the waveform shown in
figure 3 (top trace). It was reproduced at 30 inches-sec71, amplified 10 dB,
and modified using a Schmidt trigger so that the waveform was.as shown in
figure 3 (lower trace). A binomial counter was used to divide the original
frequency by six thus resulting in the square wave shown in figure 4 (lower
trace), where one cycle of the square wave corresponds to one rotation of the
impeller or 19.61 cm advance of the current meter through the water. The
average frequency of the original data was (at 30 inches-sec7+) 120 Hz and
that of the modified data 20 Hz. The modified data were recorded on 1 inch
FM magnetic tape at 30 inches-sec”™- on an Ampex FR-1100 recorder.
The square wave data were converted, using.a Honeywell analog-to-digital
converter, to digital data at a conversion rate of 2500 counts-sec ~ and re-
corded on digital magnetic tape. Reproducing speed-was 7 1/2 inches-sec7;
as a result the average frequency of the square wave was 5 Hz, and therefore
the number of counts per square wave cycle was approximately 500. The maximum
error in determining the period of one square wave cycle is *1 count or ap-
proximately 40.2%. At an average towing velocity of 400 em-sec7l, this error
corresponds to variations in velocity of 0.5 cm-sec7l.
2
TReNOp ee
CURRENT METER
P1-2100
FM RECORD
30 INCHES/SEC
8 DB ATTENUATOR
P1-2100 DYMEC DC
FM REPRODUCE AMPLIFIER SCHMIDT
30 INCHES/SEC X 10 TRIGGER
BINOMIAL AMPEX FR-11 00
COUNTER; = 6 ATTENUATOR FM RECORD
| 4 30 INCHES/SEC
HONEYWELL ANALOG TO DIGITAL CONVERTER
FM REPRODUCE CDC 3200
7 1/2 INCHES/SEC DIGITAL
COMPUTER
Block Diagram of Analog to Digital Conversion Process
Ipabfenbaee IL)
TR No. 22
Computation of Auto Covariance Series and Energy Spectra
The data processing was performed on the NUWS CDC 3200 digital
computer. The FORTRAN programs are included (appendix B) for reference.
The following were determined for each run and for i= 1, 2, 3, ..., N =
number of square wave cycles in the run:
1. The time t; from the start of the run (taken to be the start
digital recording) to the completion of the ith cycle.
2. The period T; of the ith cycle from
West Vedic fon eG (16)
3. The velocity u; for the ith cycle using the calibtation
coefficient
aot k
? alk (17)
The values of u. were assumed equally spaced at intervals of 19.61 cm.
Each run was divided into samples of 500 values of welocity per sample; a
computer printout of all of the digitized velocity data was obtained. Ex-
amination of the data revealed that all except 7 of the 49 samples contained
several obviously erroneous points. A section from the printout (run No. 2,
sample No. 3) appears in table 2 which shows a typical series of values con-
taining indicated erroneous points.
The values of erroneous points were replaced with the values of the
immediately preceding points.
For each sample a straight line was fitted through the data by the
least squarés method (18):
UO) = a, Pp Ss; (18)
13
22
TR No.
G2964° fan
E6LTR®SHE
BELSOPLHE
B82899°ETY
BELSOPLHE
60602°SHrE
FO0S6L°CHE
9B8990°8FE
2571 7° UKE
"B990°BFE
Tyl2t°snr
ZSyT Hr Ove
254TH 0HE
BIOES° ITY
BES6E° ESE
0B96T ene
98990°8EFE
ZS7Tv OE
27208°904
299E2°6FE
98990°8EFE
SS2R°6FE
SS728°6EE
£9009° THE
90S61° SHE
60602°SrE
BIOES6*TI4
90S6L° SHE
EBLE6°EHE
ZS7T OnE
ZSVT HOHE
60S06°9FE
ZSyT HOHE
=ALIDONSA
SALTOOTNIA
SALTIOONSA
=ALIOONSIA
=ALTIONSAA
SALTIIONSIA
SALIOONSA
=ALIOONSZA
SALIIONIA
=ALIOOTNSIA
=ALIDONZA
SALIONVSA
ZALTIONSA
=ALIOONSZA
SALIDONIA
SALIDONIZA
SALIOOVIA
SALIOONSA
=ALTOONSA
=ALIOONISA
=ALIOON3A
SALIOONIA
SALISDONZA
=ALTOIONIA
SALIOOTNIAN
=ALIOONIA
SALIOONSA
=ALTOONSA
=ALIOONIA
SALIIDONIA
SALIDONIA
SALIOONFA
=ALIDONZA
oezset®
08922°
09S22°
o96Rt®
09See°
02l22°
ogBed®
00¢EC°
Ov0EZ®
00¢E2°
O9E6T®
Ov0E2®
0v0E2°
ov06el®
Ov822°
02622°
o0¢e2°
O0v0Ed®
oRdZét®
o2lted®
o0zEe2°
O80Ee°
oBs0Eg2®
09622°
ORHAZ®
Oe Aad
0706T°®
oRB2e°
00822?
OV0EA®
Ov0E2®
oRcEe?
Nv0E2°
=39ONVHO
=3ONVHO
=JONVHO
=39ONVHO
=3ONVHD
=3ONVHO
=39ONVHO
=39ONWHO
=3ONVHO
=SONWHO
=S9ONVHO
=3ONVHOD
=39NVHO
=39ONVHD
=JONWHD
=SONWHD
=39NWHOD
=39ONVHO
=39ONWHO
=39ONVHO
=JONVHD
=39ONWHO
=39ONVHO
=S9NWHD
=3ONWHOD
=SONVHD
=3ONVHO
=3ONVWHO
=39ONWHO
=39ONWHO
=3ONVHO
=SONVHO
=39NVHO
awtl
Swot
awtd
3wit
3wtt
awit
awl
AWTl
3wrtl
AW J.
AWTI
3WTl
awit
AWT I.
3WT1
awit
3wtd
qwrt
awit
AWT1L
awit
awit
dWtl
antl
awit
Swi)
awit
AWT |
SW
AaWtd
Swit
3WIl
awit
ZS0TL* oe?
ZEGES° HE?
29862 ° vt?
Z262ZL0° FE?
ZEERB TEE?
2l1/199° FE?
Z2SGEH° FE?
2ltu2°eeta
€1696°2Ed
FE6ELS 2A
ECELUS® 2t2]
elLElEe°2e2d
FEENO°2E?C
€62GR° TE?
ES299° TE?
Elver ted
E6v02°TE2
€62L6°NE?2
€S27) °0€2
EL67S° NE?
eSAlEe°oe2
£S9n0°0E!
ELGSR° 422
£6429°622
LEGOE ° Ae?
€S599T°AdZ
EEHE6* Re!
F6RDL ERC?
€102g°Re2
ElzZo2°k22
€L190° RE?
FETER SLA?
ESROSe 1 e2
=iINIOd SIHI
SlNIOd SIH
Sl1NIOd SIH
SiNIOd SIHI
SlLNIOd STH
=I1NIOd SIHL
=INIOd STH)
SINIOd SIH)
=LNIOd SIHI
=INTIOd SIH)
=LNIOd SIHI
=INIOd SIRL
=!NIOd STHI
SINIOd SIH
=LNIOd SIHI
=LNTOd STHL
=INTOd SIHI1
=LNIOd SIHI
=1NIOd SIH
SINIOd SIH}
SlNIOd SIH1L
=1NIOd SIHI
SiNIOd SIH
=INIOd STHI!
SLNIOd SIHL
SiNIOd SIL
=1NIOd SIHI
=LNIOd SIHI
=INIOd SIHL
=LINTIOd SIHI
=INIOd SITHI
=1NIOd SIHI
=SLNIOd SIH1L
eqyeq AQTOOTaA PezTITSTd eyy Fo
(SUTTOWT] wersorg) qnoqyutTag zeqgnduiog 344 jo
UOT}OSS SATISe{USSSAday
"2 eTqeL
Os
0)
oO)
(on
Ol
0!
Ot
(on
Ot
Ot
O4
Ol
O41
Ot
on
Ol
Ot
OL
Ol
OL
OL
OL
Ol
Ol
OL
Od
QJ
Ol
O41
Ol
Ol
io
0!
Gwil
dwtt
awit
guilt
awit
Jw
Bwtl
awit
ajwil
Swtl
awd
gwd
Gwil
ull
Iw
aw)
awit
awit
qwil
jwit
Qwilt
Bhw1t
gwd
dwt
Qwik
dwt
awit
awit
BwIl
Bwit
awl
Iwi
wit
EEOT
ZEOT
Teo]
oFOT
6c0T
KOT
Lcot
9dul
GduT
geil
edul
eeut
Teo
Oot
6l0T
RloT
Ztol
Slot
SToT
Tat
Elot
2fol
Ito
OvoT
SUNT
HUOT
Lv90t
SUNT
SuOT
bU0T
F0OT
cuUgT
tvoT
=31VA9
=31YA9
HIWAYI
s3qvAU
=3a74vAu
=31IA9
HS31AS
=47~A0
=a1vAS
2390949
= 414A5
=qvAo
SIA
=314A0
=jnlAu
FP ba key We)
Se iOS)
=3VIA9
S31 A9
=31IA0
SsaqAO
=3T9A9
=3I1A9
=3qIA9
=37YA0
HAAG
=31VA0
=31YA9
=3N4A9
SAA
=IVWAI
SIVA
=37%A9
JSAuUM
SAYIN
SAT
sAuM
AAWM
sAyM
SavnM
dAUM
SAVI
ANU
AAW
SAN0M
SAM
SAUM
AAW
sAuM
SAVR
SAUM
SAUM
AAWM
3AUM
SAUs
SAUM
SAMM
JAW
SAUM
sAvM
SAVM
SAuM
SAUM
SAUM
SAvM
SAWN
SHUNOS
Anvnos
3x 7n0s
AyVnos
3advnos
SHvNOS
Bxvnos
aavnos
346vnos
2HVNOS
Aavnios
ayvnos
AHVNOS
3xVNUS
BaHVNOS
SHvnos
Saxvnos
auvnos
S3yvnos
By8vnos
BxHVvneSs
axevnos
3yHvNOSs
AHxVNOS
axvnos
ayVNOS
SHvnos
35Vnos
Syvnos
Asvnos
aavnos
Asvrnios
4uvnos
14,
RAN Of 2i2
where U5 and a were computed from
£00 00 £00 S00
Dy
ne ‘ab a oo XU
if, k=l _ke wer KEI
D = i La a Oa
au
S00) A y x,| ie
k=| k=)
£00
= k ax =\412) x ji Me Vegeee VANS SAS:
The mean velocity and the trend in the data were eliminated:
Cie ij, =(y Hak 2)
{1
A= (Dy, eigaial) ,
The apparent autocovariance series was computed at lags equally
spaced at intervals of AS = Ax = 19.61 cm to a maximum lag of
mAx = SOAx = (50) (19.61 ecm) = 980.5 cm using
a0-k
Ralkasy = == ou laax] u'[ (ark Jor]
ul)
; obs.
= eos PGR % (22)
=f
15
TR No. 22
for k = 0, 1, 2, 3, e+, 50. The apparent autocovariance series was
modified according to hannings
5 (I+cos i ) : kK 250
Ru lkos)< Ralkos)
0, otherwise
(23)
The Fourier transform of the modified autocovariance series was
computed at values of wave number K equally spaced at intervals of
ZK = 17/50Dx = 0.00320 em? from
24>, (Gok) =2@, &
BL>X
61 D kar
lad 1 B[2) Balk os) Cos +@,,(0) +2, (PFE) es am | -
ata i
51 feo
IL) paeierul< ;
Values of the computed energy spectrum were obtained for wave
numbers up to the Nyquist wave number ent = Ooalay/ emt, the values are
referred to positive wave numbers only. The values of the computed
energy spectrum function were divided by the sample variance:
/ Fa, (Fok)
Gea (72k) = ;
Km CO)
(24)
Location of Samples
From the original data and the computer printout of the digitized
velocity data, the following were determined:
(S = time from the start of the run to the instant the boat
passed between the channel buoys (sec);
16
TR No. 22
¥\. = the number of impeller rotations from the start of the
run to time tos
J = time from the start of the run to the start of the kth
k
sample;
NM, = the number of impeller rotations from the start of the
s run to time +, .
If the average current from ty tot is U (meters-sec”+), then the
position of the kth sample relative to the channel buoys is
X, (meters) = U(4,-% ) + 0.1461 Cn =Op).
Accurate measurements of U, over the distance between Stations I and
II were not available. However, a large error in Ue does not result in a
corresponding large error in x,; for
a le (0. 146!) = pele
CC)
Thus:
x L : e é
Xie = (Nip uae) | i+ me xX, ia
If a value of 1/2 the current through Station I is used for U., and
if this value is in error by 150%, then
a> oe
= han = OK /4 ( 1008 } = t8.4%, £12.5%.
mR pt 08/4
Table 3 gives the positions of the samples relative to the channel
buoys as determined from
= +
x, = 008 (th - t,) 0.1961 (N, - n)
and are assumed to be correct to within around 10%.
17
TR No, 22
Table 3, Positions of Samples
Run No. Sample No. Downstream distance of Center of Sample
from Channel Buoys (meters)
-164
- 44
73
181
308
427
544
661
300
305
229
152
75
== 70
56
168
286
4O4
523
-218
=no5
26
146
226
386
443
416
338
260
183
105
MOH FWONKHPANEWNHKRHOAUOFWONFOAFWNHEHDWOWAFOA HF WN EH
18
TR Nos 22
Table 3. Positions of Samples (Con't)
Run No. Sample No. Downstream distance of Center of Sample
from Channel Buoys (meters)
~-112
“J
NAYAMOFWNRP DWN F WN BP
w
@
TR No. 22
RESULTS AND DISCUSSION
Figures 13 through 17 are graphs of the digitized velocity data
for several typical samples. The autocovariance series corresponding
to the samples are shown in figures 18 through 22. Thirty-seven useful
samples were obtained from seven runs. It is not necessary to show the
autocovariance series and energy spectra for the individual samples; the
autocovariance series shown in figures 18 through 22 and the energy spectra
given in figures 23 through 27 are representative of the results. The
results from the 37 samples are tabulated numerically in appendix C. The
values of the energy spectra have been divided by the corresponding sample
variances previous to being plotted. Before proceeding to a discussion of
the results it is appropriate to consider the deficiencies in the data
and/or measurements which are apparent in the autocovariance series and
the energy spectra.
Noise
The energy spectra do not continue to decrease for wave numbers
greater than around K= 0.06 cm71 as expected but approach a constant
value of the order of orf K) = 20 cm3-sec72, with considerable variation
among samples. This can be shown to result from random error in the
digitized velocity data. If, for a sample consisting of N equally spaced
values of velocity the ®¥ror which the ith value, u!, is subject ot is ei»
then the ee error in the kth value Ore (BS autocovariance series
1s
! aes \ (
Nets NEI fL Peee ll Hel Sa,
J | dap
ele [-I< N-K
= nee uly! Alle WE jg * u! (ee
Nea! Jtk Pree J Eee stk J
| (25)
F Nk J Gj +c ~ N-k4 Uy rk y),
N-k JA N-K Je | KEK
Ree. | iN y \
ey eee “Si * Wk ed Ak nko I IFK
s =
20
22
TR No.
Odl
Ol!
OO!
06
pyoq AyioojaA poezyi6iq jooiddAy
(S4afaw) x
08
Ow
09
OS
OV
OF
02g
Ol
OOv
Olv
Ocv
| Of
OVD
OSb
O09”
OL”
(x)n
(9as/Wwd)
Figure 13
22
TR No.
pyog Ayoojaa pazyyiBiq joojd4)
(S4asqu) x
Odl Ol! OO! O6 qe Ol O9 OS Ov O£ Od O| O
O8e
O6¢e
OOv
i
Olv
Ocv
OLD
OVD
OSY
(x)n
(2aS/Wd)
Figure 14
TR No.
Od!
06
pyog AyIn0jaA paziyiByq jooidAy
(Sdafaw) x
08 OL 09 OS Ov
O€
O2
Ol
O6€
O00v
Olv
OFA 7
Of£v
Ove
OSb
(2aS/W9) (x)n
Figure 15
O6
pyoq AyoojaA pazyi6iq joordéy
(Sdafaw) Xx
Os OL O09 OG Ov
Of
Og
O|
O8e
O6e
OOv
Olv
O2v
OL
Ove
OSD
O9v
(Das/wo) (x)n
Figure 16
(Sia pow)
O06 oy)
xX
pyog AyoojaA pazi4!6iq joo1dA)
Od 09g OS Ov
O€
Od
O|
OLE
O8¢e
O6E
OOv
Olt
OcdD
OL
Ovv
OS
(Das/wo) (x)Nn
Figure 17
Rg (19.61 k) (cm? /sec)2
Figure 18
70
60
Run |
Sample 2
e, ample
0 200 400 600 800
Lag = 19.61 k (cm)
Autocovariance Series Corresponding to Figure 13
AUR INO)q
22
TR No.
@
70
@
@
@
%e
e
60 5
*og0 ‘
®
px ®e Run |
% 50 Ode Sample 6
aS
E
a
z
5 40
o
5
[-4
(es)
oO
20
Lag = 19.61 k (cm)
Autocovariance Series Corresponding to Figure 14
Figure 19
22
TR No.
70
60
Run |
50 Sample 7
=)
30
Rg (19.61 k) (cm2/sec2)
20
0 200 400 600 800 1000
Lag = 19.61 k (cm)
Autocovariance Series Corresponding to Figure 15
Figure 20
60
nn
o
Ra (19:61 k) (cm2/sec2)
Paynes ZL
Run |
Sample 8
Lag = 19.61 k (em)
Autocovariance Series Corresponding to Figure 16
TR No.
22
TR No. 22
70
60
Run 7
50 Sample 4
R (19.61 k) (cm2/sec2)
0 200 400 600 800 1000
Lag = 19.61 k (cm)
Autocovariance Series Corresponding to Figure 17
Figure 22
Figure 23
Run |
Sample 2
-2.6 -2.2 -1.8 “1.4
Energy Spectrum Corresponding to Figure 13
TREN
ne)
ne)
Figure 24
3
log D (k)
Run |
> ® Sample 6
Log k
Energy Spectrum Corresponding to Figure 14
TR No.
22
3
Log D am (k)
Run |
Sample 7
2
-2.6 -2.2 -1 8 -1.4 -1.0
Log k
Energy Spectrum Corresponding to Figure 15
awe 25
TR No.
22
3
Log DB om(k)
Run |
Sample 8
2
e@
@
1
(:)
e
t
@
®@
Energy Spectrum Corresponding to Figure 16
Figure 26
TR No.
3
Log @ tk)
e Run 7
2 Sample 4
Figure 27
-2.6 -2.2 -1.8 -1.4
Log k
Energy Spectrum Corresponding to Figure 17
MUR INO)
ine)
ine)
TR No. 22
Since the e; are assumed random, statistically independent variables ,
the u' and the e, are uncorrelated, as are the wt and the e,.
j +k ja bs J
Therefore
Nek
N-k
milk, ‘ | a a | =
NK & ay SMe 7 hes e WS ON
Uiail is
| (27)
In addition, the e. are uncorrelated with the e. nes unless k = 0.
Then we have J ¥ | N
\ 2)
ee a Totes ' es an Cy an
Rey Nel a Ci+k 7 NL {3 =e
o, otherw ‘se
IN
(28)
Nek
\
oe beni Ly ‘
KX (kos ) +Rey, = Mi . ™\ ‘e C Sie ai
J
where
eu ©, otherwise
This demonstrates that the presence of random error in the digitized
velocity data has an effect on only the value of the autocovariance
series at k = 0 (the variance). The expected form of the autocovariance
function for small values of 5 is (Batchelor, 1)
te
Comparison of this with the autocovariance series given in figures 18
through 22 indicates that the sample variances are larger than expected
by around 3 cm2-sec”2. The Fourier transform of equation (29) is
ae IRkes)+ moe di ee Cos KK Os
Sana 4s N
AS Fie: separ
See eh Ss j
e us N J=I (31)
1416 om
= @(k) + sues [2 omr-see” )
i
2a
TR No. 22
The sources of error in the digitized velocity data have been dis-=
cussed previously;
1, Sensitivity of the current meter of *0,25% of mean velocity
corresponding to an error of 11 cm-sec™1,
2. Analog to digital conversion rate resulting in an error of
ti em-sec7l, The total expected error, then, is of the order
Orne cm=-sec”, which agrees well with the observed noise
levels for the energy spectra.
Figure 28 is a plot of the sample variance as a function of the es-
timated downstream distance, x', of the sample from the channel buoys.
Because of the large amount of variation it was not possible to determine
the change in variance with respect to x’. According to Batchelor (1)
the change in variance is
SU > Re
oe i
27 (32)
where A is a number of the order cf one and Xp is the wave number at which
the maximum in the energy spectrum is located, Applying the Taylor
hypothesis, this is
2
2H ls i 1S
D x ay PT
(33)
An order of magnitude estimate of the change in variance with respect
to x' can be obtained from this. The average value of the variance for
34 samples is 55.6 cm?-sec~* +25,0 (standard error), (The variances from
the third and fourth samples from run No. 4 and the first sample from
run No. 7 were not included in the average since the values are excessively
large, probably caused by motion of the boat.) The average value of the
variance derived from the energy spectra is 3.2 x 1073 or less. Then
ay
BU LESS oy ayo
ax 400 ZoDE
= aa —2
s £9 210 Cm-s5ee
22
22
Hust IN),
sXong jauubYy*) WOdJ} SDUDISIG WD31JSUMOG SA SIUDIIDA
(suajaw) |x
Figure 28
TR No. 22
For a change in x’ of 100 meters (the average sample length) the
change in variance is about 5,3 cm?=sec™“, which is not significant
compared to the statistical variations among successive samples, The
large variations are attributed to inhomogeneity of the field of turbulence,
short sample lengths, and non-linear variations in the towing velocity.
A more precise indication of the accuracy of the results is obtained
from the energy spectra. A measure of the accuracy of any computed value
of the energy spectrum is the equivalent number of degrees of freedom of
the value (Blackman and Tukey, 17). The equivalent number of degrees of
freedom is approximately given by
2(sampie length)
maximum lag
je 8
which for all of the samples is
k = 2(500) = 20 degrees of freedom.
50
The distribution of computed values of the energy spectrun@,,A/opta ined
from a large number of similar samples having an equivalent number of degrees
of freedom, k, is assumed to be equal to a Chi-Square distribution with
k degrees of freedom, That is
8 GOS) Bee
Uk) (34)
where U(X) is the value of the energy spectrum function that would be obtained
from a sample of infinite length. Using this assumption, confidence limits
can be assigned to the computed values of the energy spectrum function. From
the tables in reference 18 values of X* corresponding to the probabilities of
occurrence of deviations greater than Yrcan be found, For a probability of
0.10 of a deviation greater than Lae the value of £* for 20 degrees of freedom
is 28.412, Similarly, for a probability of 0.90 Z*= 12,443, Thus the prob-
ability is 0.80 that the deviation from Z’is within the interval 12.443 to
28.412, or that
KP, U0
Lk )
23
Nyars IG 222, 4 12
Composite Energy Spectrum
Figure 29
TR No. 22
TR No. 22
for k = 20. Then we have 80% confidence that the correct value of the
energy spectrum function is within the interval
Ge. Ue )
Ba 2 Gig) 2 “enk)
N42 ZA, 62.
or that
beh We) Bish SVAN 2 bee ZA. G8) epee
The 80% confidence limits are indicated on the energy spectrum given
in figure 23. The confidence limits for the other spectra are the same.
Examination of the energy spectra indicates that the 80% confidence limits
are reasonably correct.
The predominant characterisitc of the spectra is the linear range (on a
plot of log @/&) as a function of log K ) extending from wave numbers of
0.01 cm7+ to 0,06 cm™+, At larger wave numbers the computed values of
are subject to large error because of the relatively high noise level. Since
any actual variations among the spectra are considered negligible with respect
to statistical variations, a composite spectrum was formed from the individual
spectra to determine more certainly the existence of the linear range:
Keon (Ue)
Kin (2) 685)
=) Hb af / /
Fn (i= 5) as (k ) ) Giese Cin
p= |
The composite spectrum is shown in figure 29. The effective sample length
is 37 times longer than that of the individual samples, and the equivalent
number of degrees of freedom is 740. The 80% confidence limits are indicated
on the spectrum, Several of the individual spectra display secondary maxima
at wave numbers ranging from 0.02 em~1 to 0.03 cm. This feature, however,
is not apparent on the composite spectrum; so no significance is attached to
it.
If the approximate noise level, as estimated from the composite spectrum,
is taken as SOO
N61 ca ? a
—e f ~ rd
We (Golan ~ $6 Cm —See ,
eal
and a noise correction applied to the composite spectrum, the result is as
shown in figure 30. Within the range of wave numbers from #= 0.01 cm to
[2 = 0.026 om™ >, the composite spectrum is of the expected form, viz:
nw Se
Gy (ke) OK
24
TR No.
Slope = -5/3
Composite Energy Spectrum with Noise Correction
Figure 30
TR No. 22
For wave numbers greater than K = 0.026 om~t Bk) decreases
more rapidly with increasing wave number than pe 9» Which reflects at-
tenuation of the higher wave number variations in velocity because of
the size of the current meter. At AK = 0:0353 om7t, As ay) is 3 dB
below the =-5/3 log k line.
The necessary condition for the existence of the inertial subrange
can be stated precisely as (Batchelor, 1)
ie %
= ) D2? ] (36)
where u is the RMS value of the turbulent velocity and R is the length
corresponding to the wave number at which the maximum in the energy spec-
trum is located.
Using the values obtained herein:
cm-sec”_
US a
AS ees
We 0) 15 sap 1
this is i
fils) aes gn
a value sufficiently large that the condition (12) is probably satisfied.
Values of the energy spectrum were not obtained at wave numbers large
enough to allow calculation of the dissipation spectrum Kh, RK) > and
subsequently the rate of energy dissipation by viscosity
Es nop? | ers Pa a
oO
since dissipation occurs at wave nuinbers of the order of 10 om72 (Grant,
Stewart and Moilliet, 2). Regardless, if the Kolmogoroff hypothesis is
assumed, an estimate of the average value of € can be obtained from the
spectra using 22
Fd BOE, (k) -p, ga eJk ie of
(37)
~%
25
TR No. 22
At K= 0.01 cm™+ the average value of the computed energy spectra is
P an (kK) = 9,15 x 10° cm°-sec™“,
It is necessary to have a value for the universal constant K'. If
the value obtained by Grant, et al (2) is used, then the average value
of K' is 0.47 10.02 (standard error). Substituting this value along
with the average value of @,,, (&) into equation (13),
ae 9.15 x 107 | Yes (G10 ene sace
(ORE) (OER ES OS)
The result is of the same order of magnitude as the values reported in
reference 2, No attempt has been made to determine € for the individual
spectra because of the statistical variations. The individual spectra would,
in general, yield different values of € 3; because of inhomogeneity of the
field of turbulence, € is a function of position as well as time.
CONCLUSIONS
1. The ducted impeller current meter, with a constant wave number
response of from 0 cm ~ to 0.0353 cm, is a practical instrument for
measuring oceanographic turbulence. The high wave number response is
limited by the dimensions of the current meter instead of the response
distance (also constant), measured as 0.75 cm. The data obtained from
the instrument are approximately equally spaced at intervals of 19.61 am,
resulting in a Nyquist wave number of 0.157 cml; the sampling process
further attenuates velocity variations at wave numbers greater than the
Nyquist wave number. Since the Nyquist wave number is greater than the
highest wave number at which the current meter is responsive to velocity
variations by a factor of four, aliasing is negligible.
2. The average sample variance is 55.6 om?-sec72 +25,0 (standard error).
Superficial comparison of the distribution of the values of the energy spectra
with the expected Chi-Square distribution, however, indicated that the variation
is statistical. The variation is attributed primarily to short sample lengths
and inhomogeneity of the field of turbulence.
26
TR No, 22
3, The composite energy spectrum is of the form predicted by
the Kolmogoroff hypothesis within the range of wave numbers from
0.01 em™! to 0.026 cm™ ; at wave numbers greater than 0,026 cm” the
energy spectrum decreases more rapidly than predicted because of at-
tenuation of the higher wave number velocity variations, At wave
numbers less than 0.01 cm7/ the turbulence is assumed anisotropic
and inhomogeneous. The maxima in the individual energy spectra are
located at wave numbers less than 0.003 cm.
4, The average rate of energy dissipation by viscosity is estimated
=-3
as 0.84 cm*=sec °
5. The energy spectra are subject to a high noise level -- of the
order of 20 cm3-sec™? -- resulting from random error in the digitized
velocity data. The sources of error are an insufficiently high analog-to-
digital conversion rate and insufficient sensitivity of the current meter
combined with a large towing velocity compared to the variations in
velocity.
PLANNED RESEARCH
Two much improved versions of the ducted impeller current meter are
presently being considered for making additional turbulence measurements.
The first is a Braincon Corporation Type 430 ducted impeller current meter,
shown in figures 31 and 32. It is similar to the current meter used herein
except that it is manufactured of type 316 stainless steel instead of brass,
has a lighter weight impeller resulting in a smaller response distance, and
has imporved bearings and hence increased sensitivity. The Type 430 current
meter has approximately the same dimensions as the current meter used herein,
and thus the high wave number response is similarly limited; the estimated
useful wave number range is from 0 cm™~ to 0.04 cm ~, The primary advantage
of the Type 430 current meter is its sensitivity, which is expected to result
in a very low noise level.
The second version is a Cox Instruments Model 12-SCRX turbine flow
meter which was modified by machining off the pipe threads from the body
(figures 33 and 34). The modified flow meter is 1.8 cm dia and 8.3 cm
long. The advantages of the Cox unit are its small size, sensitivity
(0.1% of mean flow), and simple disassembly for ball bearing replacement.
o ° sll -
The estimated wave number response range is 0 cm™~ to 0.1cm .
27
TR No, 22
It is intended to mount the instruments on 2~ft Braincon "V"-Fins
and to tow the instruments at different depths in the Cape Cod Canal
against the 4-knot tidal current existing there. Measurements are also
planned for the open ocean. It is expected that much longer samples can
be obtained than for the measurements described herein,
28
TR No.
ETO
‘yaenes
HUE
{iduialimoubaluluhustntoululotuoloubuelsauluuloituddoeausubdoluuluoluubuules
Braincon Corp Type 430 Ducted Impeller Current Meter, 3/4 View
Figure 31
22
TR No.
; a tp ge ON ART ABO ea aR RRS
! s 2 3 See 4 ’
| TWeHes
ao 10 20 30 40 30 ty 10 10 a 100 ie 10 3 Tt) eu
i itoulnolmbihimbiiliatialaiioatiliihilindudiiiliabadiatialiadtialidin
Braincon Corp Type 430 Ducted Impeller Current Meter, End View
Figure 32
22
C2
TR No.
lew
fied Cox Company Turbine Flow Meter, 3/4 V
Modi
Figure 33
TR No.
22
Figure 34
Modified Cox Company Turbine Flow Meter, End View
1.
10.
11.
TR No, 22
REFERENCES
Batchelor, G.K., 1960, The Theory of Homogeneous Turbulence,
Cambridge, The University Press
Grant, HoL., Stewart, R.W., and Moilliet, A., 1962, Turbulence
Spectra from a Tidal Channel, Journal of Fluid Mechanics,
Vol. 12, Part 2, 24a
Grant, H.L., and Moilliet, A., 1962, The Spectrum of a Cross-Stream
Component of Turbulence in a Tidal Stream, Journal of Fluid
Mechanics, Vol. 13, Part 2, 237
Bowden, K.F., and Howe, M.R., 1963 Observations of Turbulence in a
Tidal Current, Journal of Fluid Mechanics, Vol. 17, Part 2, 271
Stewart, RoW., and Grant, H.L., 1962, Determination of the Rate of
Dissipation of Turbulent Energy near the Sea Surface in the
Presence of Waves, Journal of Geophysical Research, Vol. 67,
No. 8, 3177
Bowden, K.F., 1962, Measurements of Turbulence near the Sea Bed ina
Tidal Current, Journal of Geophysical Research, Vol. 67, No. 8, 3181
Lumley, J.L., and Panofsky, H.A., 1964, The Structure of Atmospheric
Turbulence, New York, London, and Sydney, John Wiley and Sons
Shonting, D.H., 1967, Measurements of Particle Motions in Ocean Waves,
Journal of Marine Research, Vol. 25, No. 2, 162
Shonting, D.H., 1964, A Preliminary Investigation of Momentum Flux in
Ocean Waves, Pure and Applied Geophysics, Vol. 57, 149
Shafter, M.R., 1961, Performance Characteristics of Turbine Flowmeters,
The American Society of Mechanical Engineers Paper No. 61-WA=25
Rubin, M., Miller, R.W., and Fox, W.G., 1964, Driving Torques in a
Theoretical Modei of a Turbine Meter, Fhe American Society of
Mechanical Engineers Paper No. 64-WA/FM=2
29
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
TR No. 22
Grey, J., 1956, Transient Response of the Turbine Flowmeter, Jet
Propulsion, Journal of the American Rocket Society, Vol. 26,
No. 2, 98
Lang, T.G., 1956, Windmilling Characterisitcs of Propellers,
NOTS 1455, NAVORD Report 5252
Frenkiel, F. N., and Klebanoff, P.S., 1967, Higher-Order Correlations
in a Turbulent Field, The Physics of Fluids, Vol. 10, No. 3, 507
Shonting, D.H., 1963, A Proposed Study of Turbulent Transports in
Ocean Waves, U. S. Naval Underwater Ordnance Station Internal
Technical Note No. 14-63
Shonting, D.H., 1965, Preliminary Studies on the Turbulent Characteris-
tics of Ocean Waves, U. S. Naval Underwater Ordnance Station Technical
Memorandum No, 342
Blackman, R. B., and Tukey, J.W., 1958, The Measurement of Power Spectra,
New York, Dover Publications, Inc.
Kenney, J.F., and Keeping, E.S., 1951, Mathematics of Statistics,
Part 2, Toronto, New York, and London, D. Van Nostrand Co., Inc.
Coburn, 1955, Vector and Tensor Analysis, New York, Macmillan
The Eldridge Tide and Pilot Book, 1966, Boston, Robert Eldridge White
Schlichting, 1960, Boundary Layer Theory, New York, Toronto, London,
McGraw-Hill Book Co., Inc.
Massey, A.T., 1965, Response Times of an Orthogonally Mounted Ducted
Current Meter, U. S. Naval Underwater Ordnance Station Internal Technical
Note No, 124-65
Cardin, D.J. and Rooney, J., Calibration of an Eckman-Marz Current Meter
in the NAV UNDERWATER ORDSTA Wind Tunnel, U. S. Naval Underwater
Ordnance Station Internal Technical Note No. 30-62
30
TR No. 22
Appendix A
RESPONSE OF CURRENT METER TO ACCELERATED FLOW
Expressions for the resultant driving torque on the impeller of
a current meter as a function of the geometry of the current meter,
impeller angular velocity, and the velocity of water through the cur-
rent meter are given by Rubin, Miller and Fox (11), and by Grey (12).
Similar expressions are given by Lang (13) for the resultant driving
torque on a windmilling propeller, If bearing friction and other
torques are assumed negligible, the resultant driving torque is of
the form
2
k =cu f(J), (1)
where
J
li
uf D) (2)
and c is a constant of proportionality and is a function only of the
geometry of the current meter. When the water velocity and the corresponding
angular velocity of the impeller are constant, the driving torque is zero.
Therefore
£(J) = 03; J’ = Jo = constant - (3)
Hence
VA (4)
which gives the calibration coefficient for the current meter.
If the water velocity through the current meter consists of a time
varying component superimposed on a constant component
u=U+rtu'’, (5)
where u’ is assumed small with respect to U so that the lift and drag
forces on the impeller blades are approximately linear, then the equation
of motion of the impeller can be written as
1=k jw) seu £ (J). (6)
Aol
TR No. 22
The angular velocity of the impeller also consists of a constant
plus a time varying component:
/
By Si Za), (7)
/
Since u' is assumed small with respect to U,@ can also be assumed
small with respect to S23; and K (u, &’) can therefore be expanded in a
Taylor series about the equilibrium value, zero:
" IK
Ki os) = 1K (aw) en ie we 22k iw!
ee lbh i ZAMS)
Bak 12 , O2K Free eK ay
yl ele acre Syl eso
U i) BIEN 15,
The coefficients of the linear and second order terms in the series are
1g (U, Ww) | mek,
sp.
(9)
Seg = oeU fer) + an
i ES SNe. L282 o \eyice
se (10)
C O a) Z ey
=) T
6
OK
ae 2 Golo oe eu = Coy
Caine uy (11)
A2K (y OAs) (12)
ee) DEH)| LA we, =e
out Sy To
ae ee sar
A=2 0
) DP Kl4je0) eee 7 SECT. TR No. 22
2 Suaw oir Sy
2 SVD) bo 2 -
ee oe
=o ) = €
Qt Be 4+ )
J,
(13)
a K (4,w) = Sea =) £(5)
6
aw * L4Sv Sas Gy,
ee a7) a
=} tala op aS a
é oT oP 58 (14)
6
Substituting equations (8) through (14) into equation (6) gives
I w'. c, Uu' = c, UW +e ate tec, uli cp te eyo
it 1 2 3 4 5
(15)
If U (and therefore S2. ) is zero, then equation (15) becomes
/
dao" _ 12 ’ ’ 2,
eaten FRC WCU) cri 5: (16)
whereas if
u!
an SS ly
then
/
and equation (15) becomes
daw‘
tee = Gy UO = a U w', (17)
neglecting second order and smaller terms. Equation (17), which pertains
to the method in which the current meter was used, is a linear first order
A=3
TR No. 22
equation for the time varying component of the impeller angular velocity
as a function of the time varying component of the water velocity. The
general solution is is
US qe Ge!
Ge) a DA zt /
L (18)
0
q/ Ct) =
From equation (18) the theoretical response time of the current meter
can be determined. The response time is defined, for a step function change
in water velocity, as the time required for the change in angular velocity
of the impeller to achieve 1 -l/e of its final value. If the step function
change in water velocity is
Ont. G0
uf (t) =
u' = constant, t > 0 (19)
f : LE
then the corresponding motion of the impeller is, from equation (18),
OF tio
/ Piel CV
COE) Se G1 me
=p Wes
(20)
From equations (10) and (11)
F(T)
Gy st 2p Je Z biles th tice
Cs DATES a0 LATS ay ee
Za Cp J, ae D)
° G23)
Therefore Gv
ee = 2! | EE
/
tu (+t) = ae le
Examination of this result shows that the response time is given by
Ta encad \ peaR ee AON:
C= Cy 2 (23)
Thus the response time of the current meter is not a constant but is
inversely proportional to the mean water velocity. The quantity defined by
nae rey ir (24)
is however a constant for the current meter and is referred to as the
response distance,
The response distance in air is considerably larger than in water
and consequently more easily measured. The value obtained can be converted
to what it should be if it were measured in water. The procedure is similar
to that used in calibrating ocean current meters in the wind tunnel (23).
The dimensions of each term in equation (17) are ML tT; and since the
dimensions of ( and u are T7+ and tee respectively, the dimensions of
the constant cy are ML. Constant rm) is necessarily of the form
es A B Cc
co = 2 P WA ih (25)
TR No. 22
where c} is a dimensionless constant and A, B, and C are to be determined.
Substituting the preceding dimensions into this equation, we obtain
= ase Cc
cm?y4 unten 28 = ML,
from which
NS al
)
B=0
7
@ Ss ih (26)
y
so that
G. 8 el (27)
2 a “
From equations (23) and (24), we get
Assuming that I, L and C4 have the same values in air and in water,
J air ( air = DM eecess ( water. (28)
Therefore
air -3
)] water = /lair alg aly o2 ALO) ) air.
(oes (29)
The virtual moments of inertia in air and in water have been neglected in
the foregoing analysis.
The current meter was mounted in the test section of a closed circuit,
single return, low speed wind tunnel (figures A-land A-2). A step function
change in air velocity was simulated by suspending a small section of screen
A-6
TR No.
Current Meter Mounted in Wind Tunnel for Measurements of Response Time
Figure A-1
22
Figure A-2
Instrumentation for Measurements of Response Time
TR No.
22
TReNo 22
immediately in front of the current meter so that it blocked some of the
air flowing through the current meter, When the impeller had achieved
a constant angular velocity, the screen was quickly removed and the
output of the current meter measured as the angular velocity of the
impeller increased from its original value to its final value. Initially,
the period between pulses was measured at intervals of approximately 0.2
sec with an @lectronic counter connected to a paper tape digital recorder.
The interval was determined by the maximum printing rate of the recorder-5
lines/sec, The results, however, were subject to a large amount of scatter,
which was found to be caused by the variation in angular spacing between
adjacent impeller blades 110%. To eliminate this the output of the current
meter was modified using a Schmidt trigger=binomial counter circuit so that
the period per rotation of the impeller could be measured instead of the
period between pulses.
Measurements were made as described at six different wind tunnel
velocities. The velocity was determined from measurements of dynamic
pressure, wet and dry bulb temperatures, and barometric pressure; the
dynamic pressure was measured with a pitot static probe connected to a
differential micro-manometer,
A calibration of the current meter was also performed in the wind
tunnel by measuring the output frequency at various known wind tunnel
velocities and using the method described in reference 23 to convert the
values measured in air to in=water values.
From equation (22), we get
_F-
/
/ 3
Coe Wy. Shane (30)
|
S
~N
Xan
iT
This can be written as
Al =
es
Pes c an
TR No. 22
using
|
TGs CHES) J
Dey dais eel
2a; y)
Tyee ae yy (32)
Swim
For each wind tunnel velocity the quantity
|= eee
N= (Mey yee)
was calculated from the recorded data and plotted as a function of time;
figure A-3 is representative of the results. The response time in air was
determined from the slope of the straight line fitted through the points
using the least squares method:
lv
ab
slope
ain
The reciprocal of the response time in air was plotted as a function
of air velocity (figure A+), and the response distance in air was determined
from the slope of the straight line through the points. The response distance
in water was computed according to equation (29), a value of 0.97 cm resulting.
A=8
TR No.
4.0
1 - Té/T (t) 7
Slope = |/ Tair
= 0.840/ sec
T (0) = 0.03014 sec
Tf = 0.01887 sec
U = 545 cm/sec
0 ] 2 3 4 5
Time, t (sec)
Response of Current Meter as a Function of Time for
Step Function Change in Wind Tunnel Velocity
Figure A-3
22
TR No.
/ Tair (I/sec)
1.0
0.8
0.6
Slope = VA air
= 1.2 X 1079 /em
0.4
0.2
U (cm/sec)
Response Time as Function of Mean Velocity
Figure A-4
22
TR No, 22
APPENDIX B
Computer Programs
Bel
aa
TR No.22
@SEQUENCE:0 8
@JOB26/7sBBELS3602ND
@FORTRAN 9L 9X
120
40
PROGRAM TIMELINE
DIMENSION A%84H3J%2500031B%/7n0
CHARACTER AoIB
EQUIVALENCE %JsAqu
READ%6051200NR 9NT
FORMAT%214un
NOTC#1
ML#¥1
READ%60240n0 IB%MLO
FORMAT%O12
NBIGSAMP#0
NSWP#
N#3
CHAN#
BIGCHAN#O.
TIME#
SW#HOe
SAMP# .
BUFFER IN %3910%J%102J%250000
GO TO %19253s4nUNITSTF%30
K#LENGTHF %3o
PRINT 109 K
FORMAT%1Xe17H EOF ON LV3 AFTER2I5:s6H WORDS
GO 10 YY
K#LENGTHF%3ao
PRINT 205 K .
FORMAT%1Xs26H PARITY ERROR ON LV3 AFTER:I5296H WORDS&B
G@ WO ial
K#LENGTHF%3q0
IF%A%40-eEQeIB%MLO0O51:6
DO 7 I#NeK
IFSI eLE «30958
IF%IeGEeKH9218
IF%J%IoeLEe-80007199
Di Fecoe) Soe ee Ere — 8 OlO END) a0l/2
TF%IJ%IG1O5«eLEe—-800H1499
TR No.22
9 SAMP#SAMPE1.
TIME#TIMEG1¢/25006¢
GO TO 7
14 SAMP#SAMPE&1.
TIME#TIMEG1¢/25006
CHAN#T IME-CHAN
SWHSW le
VEL#4 .2/%5e10*CHANH
WRITE%619300SWsTIMEs CHANs VEL
WRITE%2 5 3000CHANs VEL» TIMEs SW
300 FORMAT%SF12¢59Fl1l0e59F1l2e52F5.00
30 FORMAT%1Xs19HSQUARE WAVE CYCLE# »F5e022Xs20HTIME TO THIS POINT# oF
1120¢552X513HTIME CHANGE# 3F12-522Xs10HVELOCITY# »F10-5n
CHAN#TIME
NSWP#NSWPG61
IFSNSWPeEQe500H6627
66 NRIGSAMP#NBIGSAMPE1
WRITE%612808
80 FORMAT%1X9///2100%1H*oOn
RIGCHAN#TIME-BIGCHAN
WRITE%612s1O00HNBIGSAMP:sTIME»BIGCHAN
100 FORMAT%1X2/s1Xs20HLARGE SAMPLE NUMBER 2®12919Xs10H AT TIME# sF12.53
18H SECONDS3/230X925H TIME SINCE LAST SAMPLE# »F12e¢5:s8H SECONDS 9/291
2Xe100%1H*os///u
NSWP#
BIGCHAN#TIME
7 CONTINUE
GO TO i
6 WRITE%59210000H%A%lOs1#128n
1009 FORMAT%1X»6HCODE# »801n
PAUSE 12345
GO) lO SSeS on SSWil Giileode
B35) Mbeki
IF %ML eGTeNRO42 941
41 READ%60»4001B%MLU
NSWP#
BIGCHAN#O.e
CHAN#
TIME# .
SWHO e
B-3
TR No.22
SAMP# .
END fFUILie 2
N#¥3
NBIGSAMP#O
WRITE%61»2000ML
200 FORMAT%1H1260Xs9H RUN NOe 2118
GOR TONS
99 REWIND 3
WRITE%61s/700NOTC
70 FORMAT%IXs19HEND OF TAPE NUMBER »I1la
NOTCHNOTCE1
IFS%NOTCeLEeNTH919999
91 WRITE%595600
60 FORMAT%1Xs20HUNLOAD LV3. AND SAVEe2/928HMOUNT NEXT TAPE ON SAME UNI
1Ts/s1l?HHIT GO WHEN READYu
PAUSE 1
GO) lo) aLal
999 REWIND 3
2 lelNipy Fluke 2
REWIND 2
END
FINIS
@EQUIPs2#MTCOEOQU02
@EQUIP s3#MTCOEQUO3
@LOADs56
@®RUN 210
nw FWNrF
@UNLOAD 9293
2@
B-
TR No. 22
a@
@®SEQUENCEs0 8
@®JOB267sTC21202ND
@EQUIPs1#MTCOEOU0]
@EQUIPs2#MTCOEOQUO02
@FORTRAN »L 9X
PROGRAM FITNSUB
DIMENSION V%452097%452n
DIMENSION TIM%5000sVEL%5008
DIMENSION ZA%80n
COMMON VEL%50002TIM%500H
VSUM# .
YO4#19.261
SUESIO
CODE# .
READ%60.30%ZA%IlOs1#19800
FORMAT%80R140
IF%ZA%20eEQe00H80281
81 M1#50
READ%60»130DMIN»sDMAX
13 FORMAT%2F10.5H
SXFO 0
SY#06
SXX#Q 6
SXY#0 ©
100 FORMAT%1H12
PRINT LOG
WRITES61240%ZA%INoI#12800
4 FORMAT%25Xs80R14a
DO le elo SOO
READ%1s2000VEL%IO»TIM%I4u
200 FORMAT%12X3F1l0.529F12e5n
COP Or lew Gia BORG Risin
16 CONTINUE
DO 76 J#225C0
IFYVEL%JOeoLT eDMING22 523
ZZ NEE SUE EN eo) ver
G@ 1O. 76
23 ITF SVEL%IJOeGTeDMAXH24 976
24 VELSIJOFV ELS J= 15
Wr
Ik
301
18
80
iat
DYE
CONTINUE
DO 17 I#1:2500
SY#SY VEL%IO
SX#SX TIM%IQ
SXY#SXYS6“VEL%IlOXTIM%Ion
SXX#SXXG%TIMSIO*TIM%IoOn
SLOPERS%JIJ*SXYO-%SX*SYOOH/%%IIS*SXXO-%SX*SXOO
YINT#HS%SSXY*¥SXO-%SY*¥SXXOO/%%SX*¥SXO-%IIJ*SXXOO
WRITE%619301HSLOPE sYINT
FORMAT%1Xs8HSLOPE # »F60e322Xes12HINTERCEPT # »F8-4n
DO 18 I#1+500
VEL%SIO#VEL%IH-%“SLOPEXTIM%SIOSYINTO
CALL SPECTRA %JJ»CODE»M1:sYO4u
GOP TOMS
END
SUBROUTINE SPECTRA%N:»CODEsM1sYO4u
DIMENSION A%10202B%10202C%10202D%102H2E%10202F%102n
COMMON X%50002Y%5U00
Phe Sho baal)
SUMX#0.0
SUMY#0.0
ETC ODE HI eal Zr Ie
DOM Sa walaesiN
SUMX#SUMXEX%I14
SUMY#SUMY&Y%I148
EN#N
SUMY#SUMY/EN
SUMX#SUMX/EN
WRITE %6126068 MlsN»xYO4
WRITE%6196080 SUMX»SUMY
WRITE%61s6090
DO 973 I#l»N
X%1O#X% I G-SUMX
Y%IToO#Y%IO-SUMY
GO TO 16
DO 4 I#1>N
SUMX#SUMX6X%1Io
EN#N
SUMX#SUMX/EN
TR No.22
TR No. 22
WRITE%619s6060 MlsN2»YO4
WRITE%6196070SUMX
WRITE%61260340
DO 913 I#1>5N
913 X%1lo#xX%IO-SUMX
16 M#M1-1
M2#M161
DO 22 L#l»M2
SUM1# 0
SUM2#0.0
SUM3 #00
DO 23 ILO
LZ#I-L&1
SUM1L#SUMIEX%LZO*X%IO
SUM2#SUM26EX%LZuU
23 SUM3#SUM3&EX%10
ZZ#N-LE1
CORR RI 6/44
GOERZHECOBRR72
A%LU#COEF*SUM1—-COEF 2*SUM2* SUM3
IF%CODED 25224925
25 SUM4#0.0
SUM5#0.0
SUM6#0.20
SUM7#0.0
SUM8#0.0
DO 26 I#L»N
LZ#I-L6&1
SUM4#SUM4EY%LZO*Y%IO
SUM5#SUM5&Y%LZuo
SUM6#SUM66Y%Iu
SUM7#SUM7EX%LZoO*Y%IoO
26 SUMB#SUM8EY%LZuU*xX*#@1oO
B%SYLOXHCOEF*SUM4—COEF 2*SUM5*SUM6
C%LOHCOEF*SUM/-COEF 2*SUM2*SUM6
%®LOF#COEF*SUM8—COEF 2*SUM5*SUM3
E%LO#%DSLO&C%LOO/2.
FSLuU#¥%D%LO-C%¥LOO/2.
24 CONTINUE
22 CONTINUE
NM
(os)
BS)
Bi
DO 27 K#1ls»M2
IF%K-lo 285928529
ZM1#M1
DELT#1le/%2e*ZM10
(GO) 7O) 372
IFSK—-M2031228928
ZM1L#M1
DELT#H1.e/Z2M1
SUM1# 0
SUM2#0.0
SUM3 #020
SUM4#0.0
EM1L#¥M1
CAY#K—-1
DO BB) (Ls 2 OM
EL#¥L-1
GUT#%1-eGCOSFSPI*EL/EM1LOO*COSFSPI*CAY*EL/EMI14
SUMI#SUMI1&EGUT*A%LO
PF MCODEm 25533 03:5
SUM2#SUM26GUT*B%LE
SUM3 #SUM36GUT*E%LO
TR No.
SUM4#5UM46%1 ¢GCOSFSPIXEL/EM1OO*SINFSPI*CAY*EL/EM1O*F%LO
CONTINUE
X1L#DELT*%SUM1&EA%1500
IF%CODED37 936937
YI#DELT*%SUM2&B%1lqo0
ZH¥DELT*%SUM3&6E%1u00
WHDELT*SUM4
R¥SQRT%%Z**2EW*X* 20/%X1*Y 100
THATANF&W/Z40
T#T/ 20174533
P#Z/SQRT%X1*Y10
Q#W/SQRTSX1*Y10
KK#K=—1
XLQ#M1
XLQP#KK
FXLP#%2e¢*XLQ*YO4H/ XLQP
WRITE%61 26020KK sAMKOSBS¥KOSESKOsFYKGsX1l9Y1lsZeWsFXLPoReT
WRITE%02 s602H0KK sASKOSBOKOSESKOsFYKOSX1l9Y19ZeWsFXLPoRsT
GO 1 27
22
36
2U
39)
38
609
608
607
602
KK#K-1
XLQ#M1
XLQ@
FXL
PHKK
PH%2 e¥XLQ*YO40/ XLO@P
FREQ#1e¢/FXLP
WRI
WRI
CON
END
IF %
CC#
WRI
CON
FOR
1QUA
FOR
FOR
FOR
FOR
FOR
FOR
TE®6196020KK sAKOeX1lsFXLPsFREQ
TE%0296020KK sA*®KOsX1sFXLPsFREQ
TINUE
Filia 2
CODEH39 » 38939
E%loO/SQRT%A%1lO*B% loo
TE%61930CC
TINUE
AT%1X944HK ACOV U ACOV W COV IN COVOUT SP U SP W
PER R PHIa
MAT%1X»98HMEAN U #oF6e1l98Xs8HMEAN W #5F6010
AT%1Xs8HMEAN U #9F10-5n
AT%1323F 9° 3 2F Be 625 F6e29F4e25F6e20
AT%1Xs5HLAGS#2s I1394H Ni#o15s5Xs3HDT#sF60e2233HSECO
MAT%36H K ACOV Sie PERIOD F o
MAT%1Xs23HCORRELATION COEFFICIENT sF10.340
RETURN
END
FINIS
B=9
TR No.
CO»
22
23\nl
TR No.22
@®SEQUENCE:0 8
@JOB2673sTC31209ND
®EQUIPs2#MTCOEOU02
®EQUIPs3#MTCOEOU03
@®FORTRANsL 2X
PROGRAM MOD
DIMENSION KK%70H2A%7002X%700O2FXLP%¥/70HsFREQ%/00»ZA%80H»SPK%700
DIMENSION SPN% 700
READ%60 5 LONF
1 FORMAT%1I5a
NFC#O
Seal
READ%S60920%ZA%KOs K#¥128C0
2 FORMAT®%80RI14Q
WRITE%612920%ZA%KO» K#1l»s800
WRITE%612110
11 FORMAT%1X»54H K ACOV SIP PERIOD FREQ SPK SF
INa
READ%3 s160KK%Ilo2A%IlOoXHI1OsFXLPHeIo
16 FORMAT%1393F9~3n
l#2
3 READ%3 »40KK%IHsA%lO»sX%IOsFXLP%IOsFREQ*I4O
4 FORMAT%1353F9e32F8.6n
GO, TO; Sb 6E BORCKR%3 5
6 1#161
GO, oO) 3
SV RRIE@ Soll atte 999999
DOW Vs elton
SPK% JO#312.102*X%Ju
SPN%JH#SPK%JB/A%14O
WRITE%61s105KK%JOsA%®IJB»X%¥IOeFXLP%¥IOsFREQ%IJHsSPK%IO»SPN%JO
7 WRITE%2s100KK%JO »A%JO2X%JO oFXLP%JOsFREQ%IJO»SPK%IO»SPN%JIO
10 FORMAT%1X21323F9e39F8e6:s2F10.3n
ENDER Tet 2
NFC#NFCE&1
WRITE%615150
15 FORMAT%IH1a
TFSNFCeEQeNFO8 39
8 REWIND -3
REWIND 2
B-10
Nomenclature
ACOV ~
PERIOD =
FREQ =
SPK =
SPN =
APPENDIX C
Numerical Tabulation of Results
lag number, k
Ra(k OE ) (em@=sec™*)
WE
i ame =2
mOE 22. (La &) (em“=sec™*)
Secale, 19.61
kK
(cm)
1/2TT (wavenumber) ; oth (em=1)
20G,, (PAR) (cm3=sec72)
on (40K) = af! (berg) (em)
Ral(0 Ke
TR No. 22
TR No. 22
GOUNTMP WIN OK
RUN 1 CHANNEL 7
ACOV Sh PERIOD FREQ SPK SPN F
300.525 1230074 0 .999999 38411.642 127.815
275.056 1354528 1961.000 2.000510 42298.560 140.749
2702672 130171 980,500 2.001020 4110,695 13.678
274.44) 106928 653.667 2001530 601.733 2.002
274.580 10693 490.250 2.002040 52A.389 Lo)
266.900 126995 392.200 .002550 341.752 ALS
265.260 10144 326.833 2.003060 357.045 1.188
263.554 10969 280.143 003570 333.637 1.110
261.599 0832 245,125 2004080 259.669 . 864
259.949 0521 217-889 2004589 162.605 541
258.247 e398 196,100 .005099 Wilerlss 5S) (2
256,538 0336 178.273 2005609 104.866 349
254.150 0385 163.417 2006119 120.159 4.00
252.837 0327 ©6150-8846 2006629 102.057 . 340
250.637 0289 140.971 2007139 90.197 300
248,305 ©2788 130.733 0007649 860764 .289
245.97] 0296 122.563 2008159 92.382 SOT
243.215 0349 115.353 008669 108.924 . 362
240,199 e430 108.944 .009179 13402204 eli,
237.002 e521 103-211 2009689 162.605 541
234.364 0561 $8.050 2010199 175.089 583
231.972 0594 93.381 .010709 185.389 .617
229.746 0692 89.136 2.011219 215-975 ra Ale)
226.727 e767 85.261 .011729 239.382 . 797
224,725 2785 812708 012239 245.000 .815
2222213 e799 78.440 2012749 249.369 .830
2702043 2805 750423 2013259 2512242 .836
216.901 20833 72.630 2013768 259.981 865
214.231 0868 702936 2014278 2702905 -901
2112388 0831 67.621 2014788 259.357 863
208,350 wns 65.367 615298 241.567 . 804
206.169 0727 63.258 2015808 226.898 ~755
293.066 0656 61.281 -016318 204.739 .681
200.353 0574 59.424 .016828 179,147 .596
196.975 0507 57.676 2.017338 158,236 527
194,937 0464 56.029 2017848 144,815 482
191,556 0426 54.472 .018358 132.955 4he
188,789 0398 53.000 2.018868 124.217 413
185.401 0372 51.605 2.019378 116.102 . 386
183,535 e333 50.282 2.019888 103.930 346
180.909 0303 49,025 2.020398 94,567 315
176.143 0328 462.690 2021418 1022349 5 hak
173,567 0342 45,605 .021928 106.739 £355
170.339 0361 44.568 2022438 1122669 .375
167,264 0436 43.578 2022947 1362076 2453
164.609 0477 42.630 2023457 148,873 495
151.081 0436 41.723 2023967 136.076 2453.
159,044 0446 40.854 2024477 139.197 4.63
155.679 0472 40.020 2024987 147.312 .490
153.159 023) 39.220 2.025497 72.096 .240
0 0 1) 0 0 0
-—
OoDrItIovwFr WN DA
11
ACOV
57,033
53.860,
§3.519
52.497
51.520
50.831
49,97]
49,332
48,802
48.309
476443
46,857
46.0460
45.016
44,535
43.851
43,286
420407
41,831
41.519
40,589
40.065
39,086
38.814
37,607
37.287
36.467
35.751
35.308
34,774
34.694
34,049
33.372
32.937
32.283
31.613
30.825
36.270
29,556
78.593
28.329
27.2466
26,855
76.254
25.797
24.919
24.534
73-856
232393
22.798
71.778
(a)
SP
22.153
25.526
3.910
0975
059A
0355
0324
2199
0167
e207
2192
0135
elll
099A
0064
0949
0953
0049
0144
661
0074
2059
0942
014)
0944
e052
0070
0066
2032
0023
0937
0045
0057
0057
e060
0073
e014
0064
0156
0063
0058
0043
007?
01495
0085
0949
0143
RUN 1
PERTOU
G
1961.000
980.500
653,667
490,250
392.200
326,833
280.143
245.125
217,889
196.100
178.273
163,417
150,846
140.07]
130.733
122.563
115.353
108.944
103.211
98,050
93.381
B9.136
85.261
81.708
78.440
75.423
72.630
702036
67,621
65,367
63.258
61.281
59.424
57.676
56.029
54.472
53,000
51.605
50.282
49.025
47.829
46,690
45,605
44,568
43.578
42.630
41.723
40.854
40.020
39.220
0
FREQ
0999999
0000510
0001020
0001530
2002040
2002550
20003060
0903570
2004080
0004589
0005099
2005609
0006119
2006629
0007139
0007649
2008159
2008669
0009179
0009689
0010199
°010709
0011219
e011729
2012239
0012749
0013259
0013768
2014278
2014788
0015298
6015808
°016318
2016828
0017338
2017848
0018358
0018868
0019378
0019888
2020398
0020908
2921418
0021928
0022438
00229467
0023457
0023967
0024477
0024987
0025497
0
C-3
SPK
6913.996
7966.,716
1220.319
304.299
184,764
110.796
1012121
62.108
52.121
642605
59.924
420134
34.643
28.713
19,975
152293
16.541
15.293
13.732
19.938
23.096
18.414
13-108
12.796
13.732
162229
210847
20.599
9.987
72.178
11.548
140045
17.790
172790
18.726
220783
232096
19.975
17.478
19.662
18.2102
13.420
220471
32.771
26.529
15.293
132470
210847
24,656
170478
6,866
0
SPN
121,228
139,686
21.397
5.335
3.240
1.943
le?73
1.089
0914
1.133
1.05]
0139
e607
e503
2350
2268
e290
2268
0241
e334
0405
0323
e230
0224
024)
2285
e383
e361
0175
e126
e202
0246
e312
e3ie2
2328
0399
0405
e350
e306
0 345
aroha
e239
0 394
4357/5
e465
2268
e235
TR No. 22
CHANNEL
7
OONDMNUFWNROA
ER No. 22
RUN ji CHANNEL 7
AcOV SP PERIOD FREQ SPK SPN
94,965 362966 0 2.999999 11537.163 121,489
91.629 422411 1961.9000 2000510 13236.558 139,384
90.403 6.820 980,500 .001020 2128,536 220414
89,044 20579 653.667 ~001530 804,911 8.476
87,114 16418 490,250 002040 442,561 4,660
85,955 0542 392.200 .002550 169.159 1.781
84,375 0485 326,833 003060 151,369 1,594
82.669 0346 280.143 .003570 107.987 Way lesie
81,231 0293 ©245.,125 ~004080 91.446 0963
79.410 e210 217,889 .004589 65.541] 2690
EGET 0198 196.100 .005099 61.4796 2651
77.082 0173 «178.273 .005609 53,994 »569
75.574 el2i 163,417 .006119 37,764 398
74,056 0975 150,846 .006629 23.408 0246
Tegoe 0074 140.071 007139 23,096 0243
Wiese 0097 130,733 2.007649 30.274 e319
70,168 el@2 122.563 .008159 31.834 2335
69.441 ellM 115.353 .008669 34,331 » 362
67,984 0123 © 108.944 .009179 38.389 0404
66,9R9 e100 103.211 .009689 31.210 0329
66.211 2067 98.950 2010199 20.911 e220
65,287 e038 93.381 010709 11.860 el25
64.479 0025 89.136 .011219 7.803 «982
63.572 0047 85.261 011729 14,669 2154
62,993 2065 81.708 ~012239 20.287 0214
62,617 0947 78.440 012749 14.669 2154
62.017 0036 75.423 .013259 11.236 2118
61.462 0053 72.630 013768 16.541 elT4
60,843 2063 70.036 2014278 19,662 207
60.146 0066 67,621 014788 20.599 e2l?
59.573 0974 65.367 015298 23.096 0243
58,524 0054 63.258 2015808 16,854 enlaval,
57.968 0943 61.281 .016318 13.420 2141
57,310 205? 59.424 2.016828 16.229 Sale
56,516 0053 57.676 017338 16.541 e174
55.166 0073 56.029 2.017848 2207R3 2240
54,299 e086 54.472 .018358 26,841 e283
53.346 2978 53,000 .018868 24,344 0256
§1,813 0076 51.695 .019378 23.720 2250
50.819 e080 50.282 .019888 24.968 0263
49,225 0094 49.025 020398 29,338 0309
47,222 2087 47,829 .020908 218153 2286
45.733 2952- 46,690 ,021418 16.229 onload
43,885 e035 45,695 .021928 10.924 Gis
42,048 0027 44,568 ,022438 8.427 2089
40,351 e026 43.578 022947 8.115 2085
38.6n2 0044 42.630 2023457 13.732 2145
37.929 e957 41.723 2.023967 172790 2187
34,997 005) 40,854 ,024477 15.917 » 168
33.185 0048 40,020 .024987 14,981 2158
31.481 0026 39.220 ,025497 8.115 2085
i) iy) 0 0 0 0
c-)
OUBUNDMF WDNR DA
AcOv
92.103
88.326
87.197
85.488
83,581
81,378
79.317
77,268
75,103
73,346
71.629
69,959
67.702
66.009
63,975
62.338
60,418
58,754
57.203
55.268
53.882
52.329
50.562
49.084
47.651
45,818
44,571
43.201
41.490
39.794
38.054
36.305
34,562
32.533
30,599
28,825
27.748
26.201
24,978
23.6A4
22.596
21.360
202076
19.247
172¢746
17.015
15.667
14.725
132686
12.648
11.593
0
SP
31.822
40.2558
10.125
20524
1.675
0832
0529
0465
0334
0225
e212
0083
0073
2065
0065
0073
0075
0193
e097
e071
e066
e070
0950
0047
0063
063
0067
008?
0090
0085
06059
2950
0072
0078
057
0045
0059
6077
0077
0062
0054
0154
0153
0076
009)
0090
RUN 1]
PERIOD
0
1961.000
980.500
653.667
490.250
392.200
326,833
280.143
245.125
217,889
196.100
178,273
163.417
150,846
140,971
130.733
122,563
115.353
108,944
103.211
98,050
93.381
89.136
85.26)
81.708
78.440
75.423
72,630
70.036
67.621
65.367
63.258
61.281
59.424
57.676
56.029
54.472
53.000
51,605
50.282
49.025
47.829
46.690
45.605
44,568
43.578
42.630
41.723
40,854
40.020
39.220
0
FREQ
0999999
2000510
20001020
2001530
0002040
0002550
2003060
203570
2004080
0004589
20905099
6005609
0006119
0006629
0007139
0907649
2008159
2008669
0909179
0009689
29010199
2010709
e011219
0011729
e912239
e012749
0013259
2013768
2014278
2014788
2015298
6015808
0016318
©016828
0017338
0017848
0018358
6018868
2019378
0019888
2020398
2020908
2021418
2021928
0022438
0022947
0023457
0023967
0024477
0024987
0025497
0
C-5
SPK
9931.710
12658.233
3160,033
787.745
522.771
259,669
165.102
145.127
104.242
70.223
662166
44,006
25.904
22.783
20.-2A7
20.2a7
22.783
230408
29.0295
30.274
222159
202599
212847
15.605
14.669
19-662
19.662
20.911
25.592
28.089
26.529
18.414
15.2605
222471
240344
17.790
142045
18.414
24.032
24.032
19.350
16.854
16,854
16.541
23-720
28.401
28.089
25.592
19.2038
17.166
9.363
0
SPN
107,833
137.436
34.310
8,553
5.676
2.819
1.793
1,576
1,132
e162
0718
0478
2281
024!
0220
0220
0247
0254
0315
0329
024]
0224
0237
0169
0159
e213
e213
o2el
0278
e305
0288
2200
0169
0244
0264
0193
0152
©200
026]
0261
0210
0183
e183
e180
0258
0308
0305
0278
e2ot
2186
0102
0
TR No. 22
CHANNEL 7
CMWADMEWNH OK
TR No. 22
RUN 1 CHANNEL 7
PERIOD FREQ SPK SPN
0 2999999 1237,4R4 65.451
1961,.000 2.000510 1802.3R9 95.329
980,500 .001020 796.796 he 13
653.667 .001530 412.911 21.839
490,250 .002040 269,656 14.262
392.200 .002550 157.612 8.336
326,833 .003060 94.255 4.985
280.143 2003570 74,592 3.945
245,125 2.004080 102,057 5.398
217.889 2004589 87.076 4.606
196.100 .005099 54,306 PSGie
178.273 2005609 44,318 2.344
1632417 .006119 39,325 2.080
150.846 2006629 25.592 1.354
140,071 .007139 21.223 eee
130.733 2007649 19,662 1.040
122.563 .908159 18.414 974
115.353 .008669 19.662 1.040
108,944 .009179 21.847 Tel56
98.950 .010199 18.414 2974
93,381 ,010709 8.4277 446
89.136 ,011219 8.739 462
85,261 2011729 18.414 974
81,708 2012239 25-280 1.33%
78.440 ,012749 27.465 1.453
75,423 .013259 222159 tL all
72,630 .013768 13,470 Ryalle
70.936 2014278 16,541 .875
67.621 2014788 20.599 1.089
65,367 015298 16,229 858
63.258 .015R08 13.732 a726
61.281 2.016318 16.854 .891
59.424 .016828 22.159 aly
57.676 2017338 22047) 1.189
56,029 .017848 17.790 O41
54.472 018358 15.91)7 B42
53,000 .018868 17.166 .908
51.605 .019378 16.541 6875
50,282 .019888 16.854 891
49.925 .020398 19.350 1/023
47,829 .020908 18.102 ~957
46,690 .021418 21.223 jee?
45.605 .021928 28.713 1.519
44,568 022438 24,032 cle s7all
43,578 022947 222.471 UL aliele)
42.630 2023457 26.217 1.387
41,723 .023967 18.726 .990
40,854 .024477 13.420 SAO)
40,020 ,024987 19.038 TOO
39.220 .025497 11.860 .627
0 0 0 @)
C-6
ACOV
82.157
71.276
69.293
67.173
65,625
64.305
632415
62.543
61.377
59.522
57.7n5
56.976
56,537
56.945
56,438
54.9A6
54.161
53.102
52.394
51.401
51,235
50.952
48.772
47,848
45.810
44,375
44,238
42,933
42.108
41,991
40.037
38.812
38.519
38.04)
38.061
372454
36.376
36.345
33.960
32.9A4
31.976
31.773
31.448
31.030
29.782
78.377
28,838
28.194
272184
76.785
270415
(a)
SP
2701736
32.661
5.769
12.547
12301
10225
0258
0535
0443
0420
0332
e3en
0314
0418
2584
048?
020)
0186
0189
e166
019A
0237
2268
0265
0215
e189
0199
020?
0228
0240
0188
0155
017?
e2\7
0224
0173
0195
e25N
0221
0166
0146
e1lT4
0238
0224
0187
e210
0210
0202
0204
0099
9
RUN 1
PERIOD
0
1961.0900
980,500
653.667
490.250
392.200
326.833
280.143
245.125
217,889
196.100
178.273
163,417
150,846
140.071
130.733
122.943
115,353
108.944
103.211
98.050
93.381
B9.136
85.261
81.708
78.440
78.423
72.630
70-036
67.621
65,367
63.258
61.281
592424
572676
56.029
54.472
53.000
51.605
50.282
49,025
47.829
46,490
45.605
44,568
43.578
42.630
41.723
40,854
40.020
39.220
0
FREQ
0999999
6000510
0001020
0001530
0002040
0002550
0003060
0903570
2004080
0004589
2005099
0005609
2006119
0006629
0007139
0007649
0008159
2008669
0009179
0009689
2010199
0010709
0011219
0011729
0012239
0012749
0013259
2013768
0014278
0014788
0015298
0015808
0016318
2016828
0017338
0017848
0018358
0018868
0019378
2019888
0920398
0020908
2021418
2021928
0022438
0022947
0023457
0023967
0024477
0024987
0025497
0
C1
SPK
8656.461
10193.563
1800.516
482.822
406.045
382.325
298.994
166.975
138.261
131.083
103.618
99.873
98.000
1302459
182.268
150.433
89.261
626733
58.051
58.9R7
51.809
59.924
73.968
83.6463
82.707
65,54]
58.987
62.108
632045
71.2159
74.2904
58.675
48,376
53.682
67 e726
69.911
53.994
60.860
78.025
68.975
51.809
45.567
54,306
74.280
69.911
58.363
65.541
65.541
63.045
63-669
30.898
0
TR No. 22
SPN
105,365
124.074
21.916
5.877
4.942
4,654
3.639
2.032
1,683
1.596
1.6261
1.216
1.193
1,588
2.219
1,831
1.086
0 164
ef0?
0718
0631
0129
0900
1.018
1.007
2798
0/18
e156
2/67
e866
0912
0714
0589
2653
0824
0851
2657
0741
0950
840
0631
0555
°661
0904
°851
0710
CHANNEL 7
DNDUMNPFUWNR DA
o£
TR No. 22
RUN 1 CHANNEL 7
ACOV SP PERIOD FREQ SPK SPN
402603 100224 9 2999999 3190.93] 78,589
36.194 14.6701 1961.000 .000510 4588.2)2 113.902
35,308 5.928 960,500 .0019020 1850,141 45,567
33.344 2eetr .653.667 «01015310 710,656 bielos
31.735 16382 490,250 .002040 431.325 10.623
30.203 0901 392.290 .002550 2812204 6.976
28.727 0542 326.833 2.003060 169.159 4,166
27.524 038M) =6©780,143 20035706 118.2599 2.921
26,564 0286) 6©7245.175 004086 &9,7261 2.198
24,383 0191 217.889 2004589 59,611 1.468
73,59) 0228 196.190 .005099 HG WES) 1.753
21.816 2265 178,273 2095609 82.707 2.037
20,878 0184 163.417 2006119 57.427 1,414
19.929 0141 150,846 2006629 44,006 1.084
19.001 0!6? 140,971 007139 50.561] 1.245
18.092 215? 130.733 2007649 47.440 1,168
17.185 2129 122,963 2.008159 37.452 2922
16.458 0966 115,353 .00K8669 20.599 2507
15.795 0941 108,944 .009179 12.796 eas
ore S 0954 103.211 2009689 16.854 2415
14,377 2068 98.950 .910199 21le223 ww23
13,373 207? 93.381 .010709 22.471 2553
12.524 0 166 89.136 2011219 20,599 A Bila) ?/
11,646 AW IT 85.261 2.011729 24,032 2292
11.938 2079 41.708 2012239 24,656 2607
19,753 2065 78.440 2.012749 20e2R7 2500
19,96) 2979 75.423 .0132759 24.656 2607
9,808 2088 72.630 2013768 27.465 2676
8.516 2075 70.036 .014278 232408 ASIA
8.274 0070 67.621 2014788 21.847 9938
UAC, 2078 65.367 .015298 24,344 ~©00
6,329 2068 63,758 ,015898 21.223 apes
5,930 2 04R 61.281 .016318 14,981 » 369
5.283 2045 59.424 ,016828 14,045 2 346
5.165 2045 57 6170 «07338 14,045 2 346
4.907 0049 56.029 .01/7848 15.293 ASU
4.56" 0064 54.472 .018358 19.975 0492
4.879 2198 53.900 .018868 30,586 2753
4.10] eelelen 51,605 .019378 34,331 846
3.947 2097 50.282 .019888 30.274 146
3,233 2126 49.025 .020398 39.325 2969
2.886 21A5 47,829 .020908 39.013 2961
4.104 0067 46,690 .0214)8 20.911 Abilis)
2.787 2053 45,605 2.021928 16.541 2407
2.370 2063 44.568 2.022438 19,662 0484
2.148 057 43.578 .022947 17.790 438
1.705 2958 42,630 2023457 18.102 2446
1.24) 0 RY 41.773 .023967 25-22A0 .o23).
271 0118 40,854 2.024477 36.828 0907
2245 2128 40.9070 .024987 39,949 2984
-().27) 2059 39.220 .025497 18.414 0454
0) ) 0 0 0 0
c-8
OONCUMFEFWNR DSA
ACOV
15.693
13.229
Wsiecsiz 2:
12.730
11.912
11.666
NO renrarcs
10,284
9.2669
9.156
B26R5
8.029
72654
7.114
6.2483
6.134
52518
5.279
4.904
42354
3.98)
32657
32179
3.925
22619
22300
2223)
1.679
1.528
1.198
1.037
2836
0495
6495
el49
007]
=0,070
“U2e2N4
=0el0)]
02252
=0.364
02244
=0.264
=) 0304
=()¢286
=(), 361
=(.005
= 2295
23)
0138
0126
9)
SP
30496
52504
20675
0946
r) 464
0285
0181
0143
ello
0985
eN71
206)
20049
0034
026
0135
0945
004)
0035
0131
0028
013]
037
ef41
0033
0A)
0074
0027
e026
e028
203?
0035
0035
0046
0057
005]
040
e039
e060
2087
079
e068
e074
2967
0148
0148
e056
005?
045
0039
0019
(a)
RUN 1]
PERTOD
0
1961.000
980.500
653,667
490,250
392.200
326,833
780.143
245,125
2172889
196.100
178.273
163.417
150.846
140.07]
130,733
122.563
115.353
108.944
103.21)
98.50
93.381
89.136
85.261
81.708
78.440
75.423
72.630
70.2036
67.621
65.367
63.258
61.281
59.424
57.2676
56.029
54.472
53.000
51.2695
502282
49.025
47.829
46.690
45.605
44,568
43.578
42.4630
41.723
40,854
40.920
39.220
0
FREQ
0999999
6000510
0001020
2001530
©002040
0002550
2003060
2003570
0004080
2004589
20005099
2005609
2006119
2006629
0007139
2007649
2008159
2008669
0109179
2009689
0010199
e010709
2011219
0011729
2012239
2012749
0013259
0013768
2014278
2014788
2015298
2015808
016318
0016828
0017338
0017848
0018358
2918868
0019378
2019888
2020398
2020908
0021418
2021928
0022438
0022947
0023457
0023967
20024477
20024987
e0I25497
0
C-9
SPK
1091.109
1717.809
834,873
295.248
144,815
88,949
56.490
44,631]
34.331
262529
220159
19,038
15.293
10,611
8.115
10.924
14.045
12-796
10.2924
92679
8.739
9.675
11.548
12.796
1927299
62554
7.490
8o427
8.1195
8.739
9.9e87
19.924
10.924
14.357
17.799
15-917
1206484
12.172
18.726
27.153
24,656
212223
232096
20.911
14.9R]
14.981
172478
16.229
14.2045
12e172
5.930
0
TR No. 22
CHANNEL 7
K ACOV
073025.710
1 -110.084
2 =122,883
3 -173,876
4 =246,.009
5 -255,.962
6 =266,275
7 #-273,635
B 295,602
9 2©174,188
10 146,869
Wi <137,320
12 -118,374
13 -192,134
14 ==86,637
15 990.47]
16 =87,159
17 =64,043
18 -75,621
19 =91,444
20 =101,077
21 78.139
22 275.292
23 -61,925
24 52,427
25 49.473
26 ~46.074
27 48,309
28 =30.975
29°) =72.414
30 =75.144
31 -78,2765
32 =56,057
33 =46,627
34 -49,576
35 =39.403
36 =*57,083
37 =66,496
38 -71.197
39 «6=55,295
40 =86,081
4) =80,498
42 63.788
43 =-85.487
44 =75.124
45 -=65.006
46 54,906
47 =58,946
48 =62,037
49 =80,379
50 -87.018
=() 1)
RUN 2
SP PERIOD
168.668 0
375.62? 1961.000
425,686 980,500
448.754 653.667
464.773 490,250
4732296 392,200
479.996 326,833
483.976 280,143
483.831 245,125
477¢43? 217,889
4712169 196,100
471,080 178,273
469.499 163,417
464.373 150,846
4612621 140,07)
460.554 130,733
6590275 122.563
460.526 115,353
461.943 108,944
460,609 103,211
4602299 98,0950
462.49] 93.381
463,797 89,136
463.25) 85,261
462.132 81,708
460,871 78,440
459,48] 75.423
459.376 72,630
461.443 70,036
461.876 67,621
460.781 65,367
461.165 63.258
461,86) 61,281
463.024 59,424
4632809 57.676
464.298 56.029
464.922 54,472
464,304 53,000
463,859 51,605
463-859 50,282
4636404 49,025
462,658 47.829
462.702 46.690
462,892 45,605
6612059 44,568
460.438 43.578
4626337 42,630
463,128 41,723
462,896 40,854
463.05) 40,020
2312614 29,220
0 0
FREQ SPK
0999999 52641.620
0000510117232.377
6001020132857,.452
2001530140057.021
2002040145056,583
0002550147716.628
2003060149807,.712
2003570151049,878
2904080151004,623
2004589149007,482
0005099147052,787
2005609147025,010
0006119146531.577
2006629144931,742
2007139144072,837
0 007649143739.875
0008159143340.646
0 008669143731.086
© 009179144173,334
2009689143756,990
2010199143660,238
2010709144344, 366
0011219144751.971
0011729144581 ,564
©012239144232.321
0012749143838,761
2013259143404,939
2013768143356,.563
0014278144017.283
0014788144152.423
0015298143810.672
2 015808143930,.519
20163) 8144147,742
2016828144510,716
2017336144755.717
0017848144908,334
0 018358145103.086
0018868144910,207
0019378144771,.322
2019888144771,322
0020398144629,315
2020908144396,4A7
0021418144410,2206
2021928144469,519
2 022438143897 .436
2 022947143703.621
0023457144296,302
2023967144543.175
0 024477144470.767
©024987144519.143
0025497 722872193
0 0
C-10
~
a
WDDDAADNAAADADADAADAADAAAAAAVAAAADAANAAAADAADAADAADAADANNANANNANAAN ADNAN AAD ON WD WON DWW
.286
.O91
.083
. 300
415
.506
22
sill.
2243
»239
.264
.ou7
.226
-259
246
popu
.287
1295)
302
-293
peo
satel
ON
MUR NOs 22
CHANNEL 7
OCOOENPTUFWNH BK
Acov
60.956
58.142
56.2146
520403
48.811
44.797
41.2268
28,434
35,917
34,035
32.581
31.60)
31.321)
31.21
31.967
B2./13
33.879
35-176
36.443
37.72%
34.842
39.65%
39,975
39,854
39.266
34.8145
37,556
36.632
34,7294
33,543
312489
79,988
28.377
272.422
76374
262017
25.599
252294
24.9270
P% e258
232.459
2243R2
21,127
19,968
16,853
Ivo we
16,696
16.214
15,374
15.227
14.752
(9)
SP
19.264]
21.911
30370
32085
4.586
32376
1.480
2649
0597
o 388
e311
0733
012?
olf}
0S94
06)
031
0022
030
e037
6036
0029
00P9
0037
0039
034
0032
0940
0138
e030
0029
0028
224
e026
e032
e0AT
0925
0027
ef20
002)
0039
0053
0055
0054
00645
0062
0030
0038
0079
0070
002?
9)
RUN @
PERIOD
0
1961.000
980,500
653.667
490.250
392.200
326,833
280.143
245.125
217.889
196,100
178.273
163,417
150.846
140,971
130.733
122.563
115.353
108,944
103.211
98,050
93,381
59,136
85.261
81.798
78.440
75.423
72.630
70.036
67.621
65.367
63.258
61.281
59.424
57,676
56.0209
54.472
53.000
51.605
500282
49.025
47,879
46,690
45.605
44.568
43.578
42,630
41.723
40.854
40.920
39.220
FREQ
2999999
2000510
0901020
2001530
20002040
0002550
0003060
2003570
0104080
2004589
0095099
2005609
2006]]9
20060629
0907139
0007649
2008159
2008669
0009)79
2009689
0010199
e010709
0011719
©0011729
012239
0012749
2013759
2013768
0014278
2014788
20015298
0015808
00163)8
0016828
2017338
0017848
2018358
2018868
2019378
20019888
2020398
2020908
2021418
20219278
0022438
2022947
0023457
0023967
0024477
2024987
2025497
SPK
60112397
6838.467
1051.784
962.835
1431.300
1053.656
461«911
2152038
186.325
121.096
97.064
72.770
38.076
31.522
29.338
19.038
9.6795
6.866
$2363
11.548
112236
9.051
G05]
112548
12.172
10.611
9.9RT
12¢4R4
11.860
9.363
9.051
8.739
70490
8e115
Ga9RT
7.803
8.427
60242
6.554
12.172
162541
172166
16.854
29.599
LOo SSO
9.363
11-2860
24.6056
219847
62866
0
TReNO wee
SPN
98.619
112.187
17.255
15.796
23048)
17.286
oeyve
3.528
5 OS 1/
1.987
1,592
1.193
2625
Aen
2481
woe
2159
ois)
0154
2189
184
2148
2148
2189
2200
olT74
0164
2205
e195
0154
0148
2143
e123
0133
2164
0138
0128
2138
elte
2108
2200
eel
e282
e216
° 338
e317
0154
0195
2404
2358
lS
0)
CHANNEL 7
OONDMNFWNMODA
ACOV
672445
63,328
59.762
55.636
51.969
48,356
45.296
42,673
40.2692
38.192
35,756
322950
30.153
282056
252683
P4,.4R5
232715
23.755
24.28]
25295¢
25.4AaN
75647)
24,797
24.454
24,108
723.838
23,589
23.623
723-2895
23.75)
232521
222.5950)
21.602
20.251
19,498
18,586
18.861
18.901
19.204
19,419
19.616
19.134
16,206
17.922
ios)
16.736
16.4092
17-06)
tiers )sis
17.637
IPG VAS)
0
SP
172370
220607
8455
5./32
3.970
22018
0833
0954
0548
0139
0904
0569
0249
0208
0185
2168
0149
016
078
0095
ele?
ell7
0096
0087
0094
0090
006)
0054
0057
006]
0063
e053
0955
2052
oe OSI,
034
004]
0954
0168
e071
0156
004)
003?
0935
0045
0043
0067
2088
0066
e049
eI026
0
RUN 2
PERIOD
0
19461.000
980.590
653.667
490.250
392.200
326,833
7802143
245.125
217.889
196.190
178.273
163.417
150,846
140.297]
130.733
122.563
WIS.3'53
108,944
193.211
98.050
93.3A1
89,136
85.261
81-708
78.440
752423
72.630
70.936
67.621
65.367
63,258
61.281
59.424
57.676
56.029
54.472
53.000
51,605
50.282
49.025
47.829
46.690
45,605
44,568
43,578
42,630
41.723
40.854
40.920
39.220
FREQ
2999999
eC00510
0101020
0901530
0002040
2002550
2003060
0003570
2004080
0004589
0005099
2005609
0006119
2006629
2007139
20007649
2008159
0008669
20009179
2009689
2019199
20010709
0611219
2011729
2012239
0012749
0013259
2013768
2014278
2014788
0015298
2015808
0016318
0016828
0017338
2017848
0018356
2018868
0019378
2019888
2020398
2020908
2021418
2021928
0022438
0022947
0923457
0023967
oN24a77
2024987
0025497
Q
SPK
5421.212
7055.699
72638.872
1788.969
1239-045
629.822
259.98]
172.905
171.2032
230.643
282.0140
177.586
Ualgentals
64,917
57,739
52.433
66.503
33.083
24.344
29.650
38.076
36.516
292962
27.153
29.338
28.089
19.038
16.854
176790
19.038
19.662
16.54]
17.166
16.229
11.548
19-611
12.796
16.854
2le223
220159
176478
12.796
9.9R7
10.924
14.045
136420
19.350
272469
202599
8e115
G
TR No. 22
CHANNEL 7
SMONDMNF WN OR
RUN 2
PERIOD
0
1961,000
980,500
653,667
490.250
392.200
326,833
280.143
245,125
217.889
196,100
Sires
163.417
150,846
140.07]
130.733
122,563
115,353
108,944
103,211
98.950
93,381
89,136
85.2461
81,708
78,440
75.423
72,630
70,0936
67,621
65,367
63,258
61.281
59,424
57,676
56.929
54.472
53.000
51,605
50.282
49,925
47,829
46,690
45,605
44,568
43,578
42,630
41,723
40.854
40,020
39.220
0
FREQ
0999999
0900510
0901020
2001530
0002040
6002550
2003060
2003570
6904080
2004589
2905099
2005609
0006119
2006629
2007139
2007649
0008159
2008669
6909179
2009689
2010199
2010709
2011219
0011729
0012239
2012749
2013259
e0O13748
2014278
0014788
2015298
2015808
2016318
2016828
2017338
0017848
2018358
2018868
2019378
2019888
2020398
2920908
09021418
2021928
0922438
0022947
2023457
2023967
024477
2024987
0025497
0
(a3)
SPK
5222.715
7658.047
2906,.606
821.452
630,134
535.879
354,236
229.395
302.739
3216465
219.096
123.280
94,879
65.229
42.134
31.834
32.459
34.331
75.592
25.592
31.210
22.159
14,045
17.790
19.975
19.350
17,790
19,350
21.203
18,192
22.159
29,338
26,529
16,229
152293
21,847
19,662
ses
14,981
19.038
17.478
15.605
17.166
16,854
15.605
21.535
32.459
33,083
26.217
18,414
6,866
0)
TREN ee
CHANNEL 7
ODNPAMNFEWNMR DA
SF
172139
21.416
5.33?
1.559
072)
0956
e775
ose
0510
0410
0300
0218
0194
0161
ea?
elll
0989
0062
006)
0975
0067
2048
2958
0076
0077
2079
0993
2093
0073
2069
2057
0043
0052
0955
060
0061
0951
0056
0972
0966
2048
2049
2069
2083
e065
0940
049
0062
0966
2067
0031
0)
RUN @
PERIOD
0
1961,000
980.500
653,667
490,250
392.200
326,833
280.143
245,125
217.889
196,100
178.273
163.417
150,846
140.071
NEKO EIS)
122.563
115,353
108,944
103,211
98,950
93,381
89,136
85.261
81,708
78.440
75.423
72,630
70,936
67.621
65,367
63.258
61.281
59.424
57.676
56.029
54.472
53,000
51,605
50,282
49.025
47,829
46.690
45,6095
44,568
43.578
42,630
41.723
40,854
40,020
39.220
0
FREQ
0999999
0900510
e001020
2001530
20002040
2002550
2003060
2003570
2004080
0004589
2005099
0005609
2006119
0006629
2007139
0907649
2008159
2008669
0009179
20094689
0010199
0010709
2011219
0011729
0912239
0012749
0913259
2013768
2014278
2014788
2015298
0015808
0016318
0016828
0017338
0017848
0018358
2018868
0019378
0919888
2020398
2020908
0021418
2021928
2022438
0022947
0023457
2023967
0024477
0024987
2025497
0
C-1),
TR NO nee
CHANNEL 7
ACOV
303.990
221.302
214,516
207.931
203-815
197.667
192.792
188,031
182.003
177.707
172.43]
167.305
161.846
157.930
152.772
148,466
145,645
141.891
138,502
135.271
132.738
129.567
127.243
125.384
121.781
118.657
114.540
112.508
109,229
107.416
103.740
100.923
972408
96.033
93.782
91.570
89.209
86.945
932946
806770
79.220
76,317
732526
71.2153
69.192
67.916
67.131
66.045
65.040
622478
61.056
()
RUN 3
PERYTOD
0
1961.000
960,500
653.667
490.250
392.200
326,833
2802143
245.125
217.889
196.100
178.273
163.417
150,846
140.071
130.733
122.563
115,353
108.944
103,211
98.050
93.381
89,136
85.261
81.708
78.%40
75.423
72.630
70.036
67.621
65,367
63.258
61.281
59.424
57.676
56.029
54.472
53.000
51.605
50.282
49.925
47.829
46,690
45.605
44,568
43.578
42.630
41.723
40,854
40.020
39.220
0
FREQ
0999999
0000510
0001020
0001530
00020490
0002550
0003060
0003570
0004080
0004589
0005099
0005609
0006119
2006629
2007139
0007649
0008159
0008669
0009179
0909689
0016199
0010709
0011219
0011729
0012239
0012749
0013259
0013768
2014278
0014788
2015298
0015808
0016318
0016828
0017338
0017848
0018358
2018868
0019378
2019888
0020398
2020908
0921418
0021928
0022438
3022947
0023457
0023967
0024477
0024987
0025497
0
SPK
248322084
30884,053
7847.18)
3086.689
2054,255
1318.007
944.733
7772758
788.058
759.968
711.2280
684.128
655.414
638.269
603.917
553.981
558.975
597.987
581-758
5512484
554.9\7
554.293
534,631
5200274
526.828
526.828
520.898
515.593
506.854
519.338
531.510
515.280
499.051
487.503
482.2510
485.631
482.198
475.956
4702650
4732459
480.325
483,758
491.561
504.045
524.331
525.580
494,994
491.561]
514.656
506.854
245.312
0
eae
eae
TOIT
F— In)
NoW
PREP RPRPRP RPP PREP RPRPRPBPEP PER RPE RP RP BPP RP BPP BP PREP EP HEED ND DYDD DW
TR No. 22
CHANNEL 7
TR No. 22
DBNAOMNEWNRM DA
oO
RUN 3 CHANNEL 7
ACOV SP PERIOD FREQ SPK SPN
45,924 152403 0 2999999 4807.307 104,543
43.379 202068 1961-000 .000510 6263.263 136.205
42,742 5.239 980.500 .001020 1635,.,102 35,558
41,905 10074 653.667 2001530 335.198 7,289
40,648 0676 490,250 ,002040 210,9A1 4,588
39.9A0 0358 392,200 ,002550 Wlpiven3S 2.430
38,693 0368 376,833 ,003060 114,854 2,498
37.864 0328 280.143 2003570 102.369 2.226
36,790 e216 245,125 .004080 672414 1.466
36.102 013? 217,889 .004589 41.197 2896
35.445 0199 196,100 005099 34,019 0740
34.339 2099 178,273 2005609 30.898 2672
33.684 0089 163,417 .006119 27.771 2004
32,814 2062 150,846 .006629 19,350 421
31,704 0035 140,971 .007139 10.924 2238
30.726 0039 «130,733 .007649 12.172 ~265
29,992 0964 122,563 ,008159 19,975 2434
29.087 e072 «115,353 .008669 22.471 2» 489
27.767 0066 108,944 ,009179 20,599 3448
26.874 0954 103,211 .009689 16,854 2367
25,617 047 98.050 .010199 14,669 2319
24,683 0049 93,38] .010709 15,293 2333
23,708 0047 89,136 ,911219 14,669 0319
22.953 0953 85.261 .011729 16,541 . 360
22,124 0054 81,708 .012239 16,854 2367
21.314 0043 78.440 2012749 13.420 2c92
20,513 2028 75.423 2013259 8.739 2190
19,54) 2018 72,630 2013768 5.618 ol22
18,800 0029 70,036 ,.014278 9,05) 2197
18.967 004? 67,621 .014788 13.108 2285
16.966 0956 65.367 2015298 17475 » 380
16.274 0072 63.258 015808 220471 0489
15,229 060 61.281 2.016318 18,726 0407
14.302 2036 59.424 016828 11.236 0244
13.169 0037 57.676 2.017338 11.548 0251
12.346 004) 56.029 .017848 12.796 2278
11,333 0 044 54.472 018358 13.732 2299
10,270 0054 53.000 ,018868 16,854 e367
9.825 2058 51.605 ,019378 18,102 ~ 394
8.604 2065 50,282 .019888 20.2a7 2441
7.82) 0063 49.925 .020398 19.662 2428
7,036 50771 47,829 .020908 22.159 »482
6,272 2085 46,690 ,021418 26,529 sSu
5.805 0063 45,605 ,021928 19,662 428
4,862 2 04N 44.568 2022438 12.484 eur
4,103 0036 43.578 2.022947 11.236 0244
3.856 2031 42,630 2.023457 9,675 2210
3.2909 037 41.723 2023967 11,548 2251
2.915 2040 40,854 .024477 12.484 ern
2.482 2026 40,020 ,024987 8.115 ale
2.049 2009 39.220 .025497 2.809 061
1) ny) 0 0. 0 0
C-16
RUN 3
PERIOU
0
1961.000
980,500
653.667
490.250
392,200
326.833
280.143
245.125
217.889
196,100
178.273
163.417
150,846
140.971
130.733
122,563
115,353
108,944
103.211
98,050
93.381
89.136
85.261
81.708
78.440
75.423
72,630
70.036
67.621
65,367
63.258
61,281
59,424
57,676
56.029
54.472
53.900
51,605
50.282
49.025
47,829
46,690
45,605
44,568
43.578
42,630
41.723
40,854
40,020
39.220
0
FREQ
2999999
2000510
0901020
2001530
0002040
2002550
2903060
2003570
2004080
0904589
2005099
2005609
2006119
2006629
0007139
2007649
2008159
2008669
2009179
2009689
2010199
e910709
0011219
2911729
2012239
0012749
2013259
2013768
2014278
2014788
2015298
2015808
e016318
2016828
2017338
2017848
20018358
0018868
2019378
2019888
2020398
2020908
2021928
2022438
0022947
0023457
2023967
6024477
2024987
2025497
0
GILT (
SPK
25896510
3642.230
1497.,777
590.497
2494369
184,764
120,783
77.089
66.166
60.548
Selo
472440
38.701
26.529
16.541
15.917
19,975
19,038
15,605
12484
14,981
19,350
18,726
16,854
14,357
15.917
15.605
10,924
10.299
12.484
15.293
18,102
168,414
15,605
10,611
9,363
10,299
13,108
20.287
23,720
19,662
11,860
12.172
25.280
29,650
22.471
21.847
22.471
17.478
15.293
8.115
0
TR No. 22
CHANNEL 7
OTCANDUFWN- OK
RUN 3
SP PERIOD
10216) 0
12.594 1961,000
32.316 980,500
16486 653.667
098) 490,250
0646 8 6392,200
0384 326.833
2018) 280.143
0198 245.125
ol?76 217,889
e182 196,100
eel? Slingers
e185 163.417
0136 150,846
ell7 140.071
0098 130,733
e085 122,563
0973)» «=115,353
0063 108,944
e050 193,211
04) 98.950
e081 93,381
0067 89,136
0958 85,261
0949 81,708
0064 78,440
2059 75,423
0040 72,630
0040 70,036
20068 67,621
e084 65,367
0054 63.258
0035 61.281
0045 59.424
0047 57.676
0052 56.029
0089 54.472
0094 53.000
0050 51.605
0056 50.282
2086 49,025
0095 47,829
2108 46.690
0993 45.605
0070 44,568
0064 43,578
0059 42,630
2058 41,723
2049 40,854
2039 40,020
0919 39,220
(a) 0
FREQ
0999999
2000510
2001020
0901530
20002040
2002550
2003060
2003570
2004080
2004589
29005099
2005609
09006119
0006629
20007139
0007649
2008159
2008669
2909179
2009689
2010199
20010709
2911219
2011729
0012239
0012749
0013259
2013768
2014278
2014788
2015298
0015808
0016318
2016828
0017338
0017848
2018358
2018868
2019378
0019888
2020398
2020908
2021418
921928
2022438
2022947
2023457
2023967
0024477
0024987
20025497
0
c-18
SPK
3171-268
3930.613
1034,930
463.784
306.172
2012618
119.847
56.490
49,312
54.930
56.803
66.166
SO Ve
42.446
362516
30.586
26,529
22.783
19,662
15,605
12.796
15,917
20,911
18,102
15,293
19,975
18.414
12.484
12.484
21.223
26.217
16,854
10.924
14,045
14,669
16.229
27.777
29.338
15605
17.478
26.841
29.650
33.707
29.025
21.847
19,975
18,414
18.102
15.293
12.172
5.930
0
i
TR No. 22
CHANNEL 7
ACOV
38,695
34,35A
31.996
29,091
26,110
23.607
71.282
18,639
16,505
14,805
12,486
12.144
9,672
7,691
6.2762
5.442
4,450
3.960
3.122
2.510
2.546
26473
2.118
2,924
2,998
2.178
2,946
3.407
3,890
4,200
4,719
5,194
5,743
6,037
5,963
6,251]
6,626
6,660
6.262
OG TT
3,513
5,0a9
4,342
3.306
2.002
1.085
,023
=],058
-1,278
-1,6°98
=2,137
0
SP
60316
10.05]
6,857
4,978
26953
1.308
0958
0668
.562
0447
0355
0263
0225
e202
e165
014)
2142
0137
0128
0116
6085
2078
2078
0065
6080
0086
2057
0044
e056
e063
2058
0043
0046
0093
0128
0126
e095
0054
0038
0945
0051
0055
007)
0992
0085
0962
2058
2065
007)
0066
2028
0
RUN 3
PERIOD
0
Bal .000
980,500
653,667
490,250
392,200
326,833
280.143
245,125
217,889
196,100
178,273
163,417
150,846
140,071
130,733
122,563
115.353
108,944
103.211
98,950
93.381
89,136
85.261
81,708
78.440
75,423
72,630
70,036
67,621
65,367
63,258
61,281
59.424
57,676
56,029
54,472
53.000
51.605
50,282
49,025
47.829
46,690
45.605
44,568
43,578
42,630
41,723
40,854
40,020
39.220
0
FREQ
0999999
0900510
0001020
2001530
0902040
2002550
0903060
2003570
6904080
0004589
2005099
0905609
2006119
0006629
0007139
0007649
0008159
0908669
2009179
2009689
0910199
0010709
e011219
0011729
2012239
0012749
0913259
2013768
0914278
0014788
2015298
2015808
2016318
«016828
0017338
2017848
0018358
2018868
2019378
2019888
2020398
2020908
2021418
0921928
0022438
0022947
2023457
0023967
0024477
0024987
0025497
0
C-19
SPK
1971 .236
3136.937
2140,083
1553,644
796.796
408,229
298,994
208,484
175,401
139,510
110,796
82.083
70.223
63,045
51.497
44,006
44,318
42,758
39.949
36.204
26,529
24.344
24,344
20.287
24,968
26,841
17.790
13,732
17.478
19,662
18,102
13,420
14,357
29,025
39,949
39,325
29,650
16,854
11.860
14,045
15.917
17.166
22.159
28.713
26,529
19,350
18.192
20.287
22.2159
20.599
8.739
0
TRE NOR eae
CHANNEL 7
RUN 3
PERIOD
0
1961.000
980,500
653,667
490,250
392.200
326,833
280.143
245.125
217.889
196,100
178.273
163.417
150,846
140.071
130,733
122,563
115,353
108,944
103.211
98,050
93,381
89,136
85.261
81,708
78,440
75.423
72,630
70.936
67,621
65,367
63.258
61.281
59.424
57.676
56,029
54.472
53.000
51,605
50.282
49.025
47,829
46,690
45,605
44,568
43.578
42,630
41.723
40,854
40.920
39.220
0
FREQ
0999999
6000510
0001020
2001530
2002040
2002550
2003060
«003570
2004080
2004589
2905099
2005609
006119
0006629
2007139
2007649
0908159
2008669
e909)79
2009689
2010199
2010709
0011219
2011729
°012239
0012749
2013259
0913768
2014278
0014788
0015298
2015808
0916318
2016828
2017338
2017848
0918358
2018868
0919378
0019888
2020398
2020908
0021418
2021928
0022438
0022947
0023457
0023967
0024477
0024987
0025497
0
C-20
SPK
3101.358
4991447
2105.128
427,268
308.669
175.401
155.739
140.446
94,879
53.994
36.516
30.898
39.949
472440
52.121
49.000
31.834
21.223
21.535
19,038
172478
14.0495
19,350
24,656
24,656
22.783
19.662
16,854
14.669
11.860
12.172
18.414
24.656
21.535
14,669
14,981
24,344
28.089
19.662
15,293
16.541]
17,166
18,726
21.223
23.2096
24.656
24,656
16.541
10.924
5.930
0
TR No. 22
CHANNEL 7
OBNTMFWN— COA
ACOV
580.722
425.453
417,278
397.437
336,383
382.037
371,823
368.276
349.748
339,557
327.577
317.346
3052108
291.994
280.112
267.800
255,765
242,141
229.762
2176116
209.4468
194,945
186.104
174.723
180.388
168,875
160.672
152.115
128.755
124.792
117.235
129,854
124.780
122.588
118.739
114.898
112.554
109.362
195.294
194.349
98.096
95.887
92.577
89,880
85.553
82.557
78.106
77.195
712679
70.243
67.778
0
RUN 4
PERIOD
0
1961.000
980,500
653.667
490,250
392.200
326.833
280.143
245.125
217.889
196.100
178.273
163.417
150.846
140.071
130.733
122.563
115,353
108,944
103.211
98,050
93,381
89,136
85.261
81.708
78.440
750423
72.630
70.036
67-621
65.367
63.258
61.281
59.424
57.676
56.029
54.472
53.000
51.605
50.282
49.025
47.829
46.690
45.605
44,568
43.578
42.630
41,723
40.854
40,020
39.220
0
FREQ
2999999
2000510
2001020
0001530
2002040
e0902550
6003060
2003570
2004080
2004589
2005099
2005609
0006119
0006629
0007139
0007649
°008159
0008669
2009179
2009689
2010199
0010709
0011219
2011729
0012239
0012749
2013259
0013768
09014278
20014788
2015298
2015808
2016318
0016828
0017338
2017848
0018358
0018868
0019378
2019888
0020398
0020908
2021418
0021928
0022438
0022947
0023457
0023967
0024477
0024987
0025497
0
C=21
SPK
43899.955
59420.476
20281 .948
6384,359
2554-243
1931.91]
1659446
1462.198
17172497
1511.822
1068.013
1284.612
16250115
1300.841
1052.096
1365.446
1420.688
1038-988
973134
1135.739
1015.580
822.3R9
804.287
806.472
8230329
926.631
9192140
817.395
879,503
9872179
928.816
827-695
849,230
911.2650
883.873
8260446
834,873
915.395
963.147
886.994
933.497
1147.911
1124.191
951.599
1047.414
1192.854
1033.370
836.433
886.994
929.440
443.1895
0
PRE RPNFPRPRPEPRPRPRBRPRPRPRBEPRPRP RPP RPBPBPEPEP RP PRP EPEPE ENDED UNDE NYNYNY NW
TR No. 22
CHANNEL 10
OONMNDMNEWNRK OA
TR No. 22
RUN 4 CHANNEL 10
ACOV SP PERIOD FREQ SPK SPN
132724 42053 0 2.999999 1264,949 92.171
11,609 4.908 1961-000 -000510 1531.797 111.614
11,388 094] 980.500 ,901020 293.688 21.400
10.814 0515 653.667 .001530 160,733 Pl aelhe
10.384 0706 490,250 .002040 220.344 16,055
9.830 0394 392.200 .002550 122.968 8.960
9,369 0185 326,833 .003N60 57.739 4,207
8.922 0124 280.143 .003570 38.701 2.820
8.513 0098 245,125 004080 30,586 2.229
8.317 0086 217,889 .004589 262.84) 1,956
7.937 0093 196,100 .005099 29,025 Bayne
7,659 0978 178,273 2005609 24.344 1.774
72.590 0044 163.417 .2006119 13.732 1,001
Vashi 0039 150,846 006629 12.172 ~887
72266 0046 «140,071 .007139 14.357 1.046
Vos 0047 130,733 007649 14,669 1,069
7.158 0945 122,563 .008159 14,045 023
7.415 0039 115,353 2008669 12.172 2887
7.309 e025 108,944 ,.009179 7.803 2569
7.705 0936 103,211 2009689 11.236 2819
7.664 2057 98,050 ,019199 17.790 296
7,632 0043 93,381 ,0107N9 13,420 2978
7,542 2033 89,136 .011219 10.299 2750
7.465 2039 85,261 011729 12.172 ~887
7.473 2039 81.708 012239 12.172 887
7,365 2940 78,440 ,012749 12,484 2910
7,234 2040 75,423 ,013759 12,484 2910
6.963 0936 72,630 ,013768 11,236 819
6,736 2027 70,036 .014278 8.427 2614
6.499 2028 67,621 2014788 8.739 2637
6.288 2037 65,367 .015298 11.2548
5.748 0037 63.258 .015808 11,548
5.225 004) 61,281 2016318 12.796 2932
4.785 0946 59,424 .016828 14.357 1,046
4,653 0043 57,676 .017338 13.420 2978
4.152 0044 56.079 ,017848 13,732
3.961 0139 54.472 2.018358 12.172 2887
3.508 0027 53.000 2.018868 8.427 0614
3,079 0022 51,605 .019378 6866 2500
2.990 0025 50,282 .019888 7.803 2569
2,672 2037 49,025 .020398 11.548
2.373 2057 47,829 020908 17.790 1,296
1,845 0056 46.690 021418 176478 1.274%
1.805 0043 45.605 .021928 13.420 .978
1.699 0935 44,568 .022438 10.924 0796
1.510 003? 43,578 022947 9,987 2728
1.613 2050 42,630 .023457 15.605 137
1,187 006) 41.723 .023967 19.038
1,462 2050 40,854 ,024477 15.605
1,249 2939 40,020 .024987 Veale
1.216 0019 39.220 2025497 5.930
0 fy) 0 0 0
C-22
OBrADNHAF WY DHA
acov
247.24)
241.4461
235.473
278 -2A4
AP) cave)
2150016
209,574
204.154
199,733
195.424
191.259
186.218
181.669
177.183
1732014
169.116
165.696
141.975
158,45]
194.993
151.614
14He477
144,990
141.012
Waieclns
1326797.
124,854
174.342
120.914
117.2849
116.182
114.263
112.494
1112244
199.832
1972474
195.619
192.728
99,779
76.933
93,304
29.674
R659?
23,437
79,914
760.535
7326?)
702153
66,146
622979
59,848
0
RUN 4
PERTOD
0
1961.0090
980.500
653.667
490,250
392.200
326,833
280.143
245.125
217.889
196.100
asians
163e4)7
150.846
140.971
LIS 4OS)
122.5953
115.353
108,944
103.211
98.950
93.381
89,136
85.76]
81.708
78.440
75.423
72.030
70.936
67.521
65.367
63.758
61.281
592424
57.676
56.029
54.472
53.000
51.605
50.282
49,025
47.829
46,690
45.505
44,568
43.578
42.639
41.723
40,854
40.920
39,220
0
FREQ
SPK
0999999 273792460
2000510 33467.910
2091020
0001530
0002040
HOOAS 50
0003060
2003570
2004080
2004589
2005099
2005609
2906119
2006629
000/139
0074849
HOON SS
2008669
2009179
2009689
0010199
0010709
0011219
SON ree
0012239
0012749
09132759
0913768
00142778
2014788
2015798
2015808
20163138
0016828
0017338
2017848
2018358
2018868
0919378
e0149888
0029398
2020908
021418
0121928
0022438
0022947
0023457
0023947
0024477
2024987
0025497
0
C23
7582, 766
24092427
1423.809
1050223
741.242
379.516
404.4R4
400.739
279ee7%
2030178
184.764
141.382
91.758
66.478
620108
Sol te)
56.178
55,554
47.752
37.459
Pulalu tl
34.331
PUSH
19.350
24.2032
28.089
Wot U
292029
34.331
3025R6
27.469
242968
12el72
B.4,f
12 o4h4
12-172
17.790
210223
16.854
20.599
Ao
26e2\!
20.911
18el02
212¢84/
212539
17.2166
24.968
16.85%
0
TR No. 22
CHANNEL 10
BDBNMNDANPF WNP DA
oO
ACOV
295.575
289.760
252.63)
275.6A3
268,278
261.091
254.968
248.465
242.246
DADo6 VAS
229,647
224,35?
218.352
211.558
294,404
WOR 217 0
190,031
183,699
178,525
172,544
166.639
160,730
154,44]
148,664
143.088
136,195
134.156
179,056
123.766
119.090
WS Sse
LNB OS
1o2,7a7
97.696
94,319
90.515
87.615
Q5.174
82.665
20.256
78,304
76.202
73,488
A Ae
69,900
64.379
67.31]
67,197
66,718
66,873
65.786
()
SP
19012045
130.28?
35.287
8,839
4.693
22756
1.873
1./87
1.466
12035
0938
266)
0c k9
07 48
e390
0446
AS
e260
e159
018
GAUSS
e039
el 4
0128
el05
0095
0141
2167
el2n
0984
0079
e077
0092?
elOA
2133
ell}
0958
0067
e100
0076
0043
0043
004)
0044
0066
0164
0967
0369
0963
2068
0938
fy)
RUN 4
PERIOD
0
1961.,000
980,500
653 16617
490,250
392,200
326.833
280,143
245.125
217,889
196.100
178.273
163.417
150,846
140,071
WoO. 733
122.563
115,353
198.944
MOS Reel
98,050
93,38)
89.136
85.261
B1.708
78,440
orcs
72.630
70.036
67.621
65.367
63,258
61.281
59.474
57,676
56.929
54,472
53.000
51.605
50.282
49.025
47.829
46.690
45,605
44,568
43.578
42,630
41.723
40.854
40,920
39,220
0
FREQ
SPK
0999999 31536.34/
0000510 40661.273
2001020 11013.143
2091530
2002040
2002550
e00306U
6003570
2004080
0004589
2005099
2005609
0006119
29956429
0007139
0007649
2008159
20086469
2009179
2009689
6010199
2010709
0011219
0911729
2012239
0017749
2013259
0913768
09142778
0014788
2015298
0015808
20916318
0016828
201/338
2917848
e01H358
018868
2019378
2019888
2020398
2020908
2021418
2921928
0022436
20022947
0023457
0 0239Hh7
0024477
0024987
0025497
0
C-2),
2774.275
1436.606
860.153
584,567
557.726
457,542
373.026
292.2752
206,299
90.197
77.401
121.720
139,197
117.662
41.147
49,624
39,949
35,892
2UoUTt
32.459
39.949
33,083
29.650
44,006
52.121
37,452
CO.217
24.656
24,032
28.713
33.707
41,510
35,268
18.102
20.911
31.210
23,7270
13.470
13.420
12.796
Sense
20,599
19,975
19,350
iG Syal5)
19,662
2126223
0
SPN
106.695
137.567
37,260
9,386
4,460
2.910
1,978
1.887
1,548
1.993
2990
2698
0262
TR No. 22
CHANNEL 10
CONPFMNFWNRK DA
ACOV
44.424
40.9}0
36.744
35,74)
32.9A89
31.003
79.35)
27,880
26,845
25,997
25,109
74.246
23.159
22.094
20.946
19.715
18.779
Wieeses
16,4829
15,402
14.50]
13.807
NierenSirak
12.946
10,990
10.369
9,608
9,5)6
9,396
9.7646
9.9)4
9.75]
9.3A6
9,068
8,675
8.486
7.906
7,338
6,736
6,341
6.046
6,0)9
Soe)
6,053
6,000
5.955
2.478
4.747
41a?
Joos
)
SP
11.009
15.520
6.346
22688
126293
0973
10054
084)
0620
0604
0478
0288
02l?
ofl?
0185
elN9
0113
o1ll4
2092
0982
e079
0056
0949
0052
0043
OE:
0 V4N
04)
0038
0 04)
0049
0055
2057
0053
e047
0056
0971
2 f69
0961
0951
0038
0 M4)
0963
20075
062
0942
042
006)
2062
0926
(9)
RUN &
PERTOD
0
1961.0900
980,500
653.667
490,250
392.200
326.833
280.143
245.125
217,889
196.100
178,273
163.417
150.846
140,071
130,733
122,563
115,353
108,944
103,211
98,050
93,381
89,136
85,261
81,708
78,440
75,423
72.630
70.036
67.621
65,367
63.258
61.281
59,424
57,576
56,029
54.472
53,000
51,605
50.282
49,925
47,829
46.690
45,605
44,568
43,578
42,630
41,723
40,854
40,020
39,220
0
FRE
0999999
2000519
2001020
2001530
0002040
#002550
2003060
2003570
0004080
2004589
2005099
0005609
0906119
0006629
0007139
0907649
0008159
2008669
2009179
2009689
0910199
e010709
20112719
0011729
0012239
0012749
2013259
0013768
0014278
0014788
2015298
2015808
0016318
2016828
0017338
©017848
0018358
oV18868
2019378
0019888
0020398
2920908
2021418
2021928
2022438
0022947
0023457
0023967
aN24477
0924987
2025497
0
C-25
SPK
3435,931
4B843.823
1980,599
838.930
403.548
303,675
328.956
262.478
193.503
188.510
149,185
89,885
66,166
67.726
57.739
34,019
32.147
35.580
28.7)3
25,592
24,656
17.478
15,293
16,229
13.429
11.548
12,484
12.796
11.860
11.236
12.796
15.293
17.166
17.790
16.541
14,669
17.478
22.159
21.535
19,038
15.917
11.860
12.796
19,662
23,408
19,350
13,108
13,108
19.038
19,350
8.115
0
TR None Ze
CHANNEL 10
x
fiw N —- >
TNMDWV
ACcCOV
43.487
40.995
3.219)
35.054
322635
30.441)
P4.9RYD
28207?
27.569
76.95)
262459
762 3R)
25.809
25.2566
25.216"
24,694
P4&.NRS
Bae Nae
2 OAT
21.2095
20254)
19.796
19.451
19,147
13.78%
14.637
17.618
16-747
Weal il
14,38)
122868
11.806
11.659
11,834
L265)
1°?.752
12.947
12.871
12.145
11.872
11.7466
11.878
VW) s619
11,386
Olea 0)
TOeo75
9.668
9.165
8.65?
8.544
8.457
ty)
RUN 4
PERIODUD
0
1961.900
980.500
653.667
490.250
392.200
326.833
740.143
245.125
217.889
196.190
178.273
163.417
150,846
140.97]
VSIGG 7s)
Weenoes
US sss
108,944
103.211
98.050
93.381
69,136
85.261
81.708
78.440
75.423
722630
70.036
65.367
63.258
61.281
59.2424
57,676
56.029
54.472
53.900
S605
50.282
49.925
47.829
46.690
45.605
44,568
43,578
42.630
41.723
60,854
40.020
39.220
0
FREQ
0999999
00005] 0
e0V1020
0001530
2002040
0$07550
00903060
0003570
e0U40R0
2004589
0005999
2005609
0006119
0006629
0007)39
0007649
2008159
2008669
0009179
0009689
20019199
01709
00112719
e011729
0012239
0012749
0913259
0013768
0014278
0014788
0015298
0015808
0016318
0016828
6017338
0017848
0018358
-018868
0019378
0019888
0020398
2020908
0021418
021928
2022438
oV22947
0023457
023967
0024477
0024987
0025497
0
C-26
SPK
3904.084
4990.823
1381.343
466.280)
3R9,8}5
398,554
300.866
287.1 3%
285.573
LS Syenlno
79.274
112298]
100.497
57.739
53.369
2029) 1
26.217
22073
17.478
17.790
16.229
112860
12.484
20.911
20e2R7
14.357
17.790
18.102
13.420
10.299
10.299
10.611
9.051
19.924
162.854
17.790
15.9) 7
15.605
15.917
16.541
12¢4R4
72.490
14.045
24.032
232.720
202599
19.038
19.975
20.599
9.675
0
TR No. 22
CHANNEL 10
OBNO*MEFWNRK DA
ACOV
129.340
60.022
59.730
57.518
56.099
55.386
54,228
52,697
51,876
49,618
48,082
47.110
45,592
44,597
44,034
42,657
42,434
40.453
39,319
37,825
36.902
36,611
36,039
35,526
35.660
35,055
34,409
31.731
312317
31,139
32.710
33,750
32,536
32,511
31.112
31,643
32.463
32,381
30.821
30,784
30,74)
30,125
28,669
27,610
27,421
26,282
25,131
24,880
24,351
24,419
23,297
19)
RUN §&
PERIOD
0
1961.000
980.500
653,667
490,250
392,200
326,833
280.143
245.125
217.889
196,100
178,273
163,417
150,846
146.07)
130,733
122.563
115,353
108.944
163,211
98.050
93,381
89,136
85,261
81,708
78.440
75.423
72,630
70,936
67,621
65,367
63,258
61,281
59,424
57,676
56.029
34,472
53,000
51,605
50,282
49,025
47,829
46.690
45,605
44,568
43,578
42,630
41.723
40,854
40,020
39.220
0
FREQ
0999999
900510
0001020
2001530
2902040
2002550
«003060
2003570
2004080
2004589
2005099
2005609
0906119
2006629
2007139
0007649
2008159
0008669
2009179
20009689
2010199
0010709
0911219
e011729
6912239
0012749
0013259
2013768
0014278
2014788
2015298
2015808
2016318
e016828
2017338
2017848
2018358
2918868
2019378
2019888
2020398
2920908
2021418
2021928
2022438
0022947
2923457
0023967
0024477
2024987
0925497
0)
C-27
SPK
7228.594
8802.213
2322.039
1182,554
714,089
593.618
554,293
484,382
488,128
465.656
416.032
421.338
501,548
515,593
439,440
425.707
466.280
437.567
408,854
4464306
439.128
397,306
411,663
428.516
426,331
421.962
416.032
425.395
419.777
411.663
415,096
410.414
413.223
419.465
418,841
431,325
447,242
447,242
450.675
446,306
420.089
412.911
436,319
445,057
431,325
435.070
438,503
425,083
431,325
450,987
228,771
0
FWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWwWwwwwwwwnwuww Fru
888
-055
15
143
521
.590
286
745
600
217
5259)
TR No. 22
CHANNEL 10
DBNDMNFWN MK DA
Ne}
ACOV
52,790
49,278
48.008
46.117
44,558
42.685
41,390
39,724
36,950
37.533
362481
35,49)
33.202
32.099
31.083
302217
29.130
PeaeTth&
27.524
27-908
75-861
252223
24,396
23.623
23.182
22.792
22.648
212-974
21.175
200146
202056
19.337
15.556
18.1273
17,669
17.100
17.017
16,624
1256778)
152450
14.9n2
15.968
15,152
15.035
15.474
15,045
14,810
14.059
14,228
a)
SP
1626356
2leli2
5.598
22249
1.29?
0/57
058?
0508
0378
e291
e2Td
0221
0116
0196
0116
016
e086
0065
0080
0188
0164
0054
016)
0163
268
008?
ol9)]
0059
032
046
2052
048
0955
0953
0058
0 D7)
0973
N67
0 J5)
e050
0 IAG
0047
0029
0038
0950
060
0 058
0064
0080
0 I9R
0057
9)
RUN 5
PERTOD
0
1961.000
980,590
653.667
490.250
392.200
326,833
280.143
245.125
217.889
196.100
178.273
163.417
150.846
146.071
130.733
122.963
PSs s
108,944
103.211
98.050
93.361
89.136
85.261
81.708
78.440
75.423
722630
702936
67.621
65,367
63.758
61.291
59.424
57.676
56.029
54.472
53.090
51.605
50.282
49.925
47.829
46.690
45.695
44,568
43.578
42.630
41.723
40.854
40.920
39,220
0
FREQ
0999999
2000510
0901020
2001530
002040
2002550
2003060
0003570
2004080
0004589
0005099
2005609
0006119
2006629
0007139
0007649
2008)59
0008669
2009)\79
2009689
eQ010N)99
2010709
0911219
0011729
0012239
0012749
0013259
2013768
0014778
0014788
20015798
0015808
2916318
0016828
0017338
0017848
0918358
0918868
9019378
0019888
0020398
0020908
0021418
0021928
0022438
eN2294T
0023457
0023967
0924477
2024987
0125497
0
C-28
SPK
5192.129
6589.097
1840,778
VOM GOT
403.236
236.261
181,643
158.548
117.975
90.822
84.268
68.975
36.20%
292962
36.204
33.083
26.841
2Ne2R7
24.968
272465
19.975
16-854
19.038
19.662
2@le223
250592
280401
18.414
9.987
14,357
16.229
14.9R]
17.2166
16.54]
18.]92
222159
22.783
20.91)
15.9)7
152605
19.975
14.2669
9-051
11-860
15.695
18,726
18.102
19.975
24.968
30.5R6
17.790
0
TR Nog 22
CHANNEL 10
ry
POeOADUF WN SA
ee a
BANDMEUNeE:
19
RUN 5
PERTOD
0
1961,000
980,500
653,667
490.250
392,200
326,833
280.143
245.125
217,889
196.100
178.273
163,417
150.846
140.07)
USO 39.
122,563
115,353
108,944
103.211
98,050
93,381
89,136
85,261]
81,708
78.440
75,423
72,630
70.036
67,621
65,367
63,258
61,241
59.424
57.676
56.029
54.472
53,000
51,605
50,282
49.025
47,829
46.690
45,605
44,568
43.578
42,630
41,723
40.854
40,920
39,220
0
FREQ
2999999
0900510
»901020
2001530
2902040
0002550
°003060
6003570
2004080
0004589
0905099
2005609
2006119
-006629
0007139
e007649
20008159
2008669
2009179
2009689
2019199
2010709
2011219
0011729
0012239
20912749
3013259
013768
2014278
2014788
2015298
2015808
0916318
2016828
0017338
2017848
0918358
2018868
2019378
2019888
2020398
2020908
2921418
2021928
3922438
eN22947
0023457
0023967
024477
2024987
2025497
0
C-29
SPK
7395,8R1
9031.920
1906.319
468,153
295,873
191,006
187,885
182.892
159.172
125.153
125.153
132,331
76.777
272465
252904
390.586
37,764
44,318
54,618
80,522
95.191
88.013
78.029
59.611
44,318
39,949
33,707
22.783
12.796
13.108
17.478
22.471
33.707
49,312
58.675
53.057
45,879
44,006
39,325
37.764
33.707
26,841]
23.408
21,847
30.274
37.452
36,204
46,503
59,924
60,860
29,650
0
Te Nonwee
CHANNEL 10
=> x
ODN DAF WN-
a)
ACOV
aah)
722146
70.755
68.991
67,187
64,850
42.970
6) .569
59.229
57.588
55.809
53,96)
51,854
50.745
48.,4)0
46.588
44.767
42.1767
41.209
39.837
39.047
37.8)7
37.456
36.357
2537.8
34.293
33.2449
32.812
31.575
31.221
30.190
29.2\7
28.208
27,152
25.945
24,725
234239
21.839
20.2379
19.9606
17.9690
16.46]
Wee Sv7S
14,991
13.221
12.484
11.418
10.768
10.247
9.946
9.349
0
SP
242753
31.878
9.000
3.235
1.688
056?
0460
0434
0403
0336
0197
e108
e129
el6?
0144
0084
0948
0067
2076
0075
2073
0965
006]
0056
0959
006)
2 086
0995
0184
0987
elN4
097
0963
0046
004A
0037
0037
047
046
0038
0074
0957
0155
0087
011?
098)
048
0049
0054
0028
0)
RUN 5
PERTOV
0
1961.000
980.500
653.667
490.250
392.200
326,833
2802143
245.125
217.889
196.100
178.273
163.417
150.846
140.97]
130.733
122.963
115.353
168.944
103.211
98.950
93.38)
89,136
85.261
81,708
78.440
15.423
722630
70.936
67.621
65.367
63.258
61.281
57,676
56.929
54.472
53.000
51,605
50.282
49.925
47.829
46,690
45.605
44,568
43.578
42.630
41.723
40.854
40.020
39.220
0
FREQ
2999999
20005)90
2001020
2001530
2002040
2002550
2003060
20034570
0004080
20004589
0005099
2005609
00046119
0006629
2007139
000/649
«008j}59
2008669
0009179
0009689
0019199
0010709
0011219
0011729
2012239
0012749
0013259
0013768
2014278
©014788
2015298
0915808
2016318
0016828
0017338
2017848
2918358
2018868
2019378
2019888
2020398
2020908
2021418
0021928
0022438
0022947
0023457
2023967
0024477
0024987
0025497
0
C-30
SPK
77252461
9949.188
2808.9]A
1009,650
526.8248
175.2401
143.567
135.452
N2WS VEU
104.866
610484
33.707
49.261
50.561
44,943
260217
14.981
19.350
23.720
232408
22.783
20.28!
19.038
17.478
15.605
19.038
26.841
29.650
260217
27.153
322459
30.274
19.662
14.357
132108
11.548
11.548
14,669
14.357
11-860
19.350
23296
17.790
172166
270153
34.955
2522AR0
14.981
15.293
16.854
8e739
0
TR Nor 22
CHANNEL 10
OBNONEFWN-H OK
acoV
108,676
99,369
96.879
94.075
91.707
89,242
86.961
85.2)2
82.996
R2.248
BU 9228
78.433
76.66()
74,945
73,054
71.038
69.042
67.562
66.236
65.094
632507
61.2391
$9.2n7
57.382
55.124
53.926
51.945
50.077
47.2486
45.285
42,689
41.312
40.726
39,727
38,688
37.678
36.159
35.247
S35
20.966
28.396
256779
23,633
212643
200759
18.809
17.601
152522
11.873
9.969
8,374
1)
SP
366081
452764
19.6519
22489
1.821
10415
12022
0630
0/8)
0667
0512
0503
0327
0192
0 34)
e267
e179
e205
e228
023?
0252
0234
019)
e179
0168
0153
0159
014?
e158
0174
0193
e180
e152
el69
e160
0129
e113
e112
0116
0145
0157
0149
0178
0192
el77
0153
el49
6155
0118
0042
9
RUN 5
PERTOD
0
1961,.900
980.500
653.667
490,250
392.200
326.833
280.143
245.125
217.889
196.190
178.273
163.417
150,846
140.971
S07 SS
122.563
115.353
108,944
103.211
98.050
93.381
89.136
85.261
81.708
73.440
75.423
72.630
706036
67,621
65.367
63.258
61.281
592424
57.2676
56.029
54.472
53.000
51.605
50.282
49,025
47.829
46.690
45,605
44,568
43.578
42.630
41.723
40.854
40.920
39,220
0
FREQ
2999999
20005]0
6001020
0091530
0002040
2002550
2003060
0003570
2004080
0904589
00050999
2005609
2006119
0906629
0007139
2007649
2008159
»908669
2009179
0009689
2019199
0010709
°011219
0911729
0012239
0012749
2013259
0013768
20014278
2014788
2015298
0015808
°016318
0016828
0017338
2017848
20158358
0018868
0919378
2019888
2020398
2020908
0021418
0021928
0022438
2022947
0023457
0023967
e024477
0024987
0025497
0
C=31
SPK
11269.952
14126.985
3280.192
7762822
563.338
441.624
318.968
196.624
243.752
159.796
156,987
192.057
59.974
81.147
196.427
83.331
53.057
63.981
716159
722408
78.650
732032
59.611
55,866
522433
47.752
49.674
50.561
49.312
54,306
60.2236
56.178
47.440
49.936
49.936
40.261
35.2684
34.955
36.204
45.255
49.000
46,503
55,554
59.974
55.242
47.752
46.503
48.376
36.828
13.108
0
TRENOp ee
CHANNEL 10
oA
ODMOANAU FWY
SP
192248
33.828
18.137
5.87}
4.212
20610
1.207
1.101
1.25]
1.033
062)
059)
0725
054)
0292
2755
0246
019)
0149
0109
°080
0078
2095
0118
0098
0956
0948
2052
0044
042
RUN 5
PERIOD
0
1961.000
980,500
653,667
490.250
392.200
326.833
280.143
245.125
217.889
196,100
178,273
163,417
150,846
140,071
130,733
122,563
115,353
108,944
103.211
98,050
93,381
89.136
85,261
81.708
78.440
75.423
72,630
70.036
67,621
65,367
63,258
61,281
59,424
57.676
56.029
54,472
53,900
51605
50.282
49,025
47,829
46,690
45.605
44,568
43,578
42.630
41.723
40,854
40,020
39,220
0
FREQ
06999999
0000510
2001020
0001530
2002040
2002550
0903060
2003570
20004080
2004589
2005099
2005609
2006119
0006629
0007139
2007649
~008159
2008669
2009179
2009689
0010199
2010709
2011219
2011729
2012239
0012749
e913259
2013768
2014278
0014788
2015298
2015808
2016318
2016828
2017338
2017848
2018358
2018868
29019378
e019888
2020398
2020908
0021418
2021928
2022438
2022947
2023457
2023967
0024477
2024987
2025497
0
C=-32
SPK
6007-339
105572786
5660.594
1832.351
1314.574
814.586
376.707
343.674
390.440
322.401
193.815
184,452
226.274
168.847
912134
79,586
76,777
59.611
46,503
34,019
24.968
24,344
29,650
36,828
30.586
17.478
14,981
16.229
13.732
13,108
11.548
9,9A7
14,669
21,847
24,032
21.847
15.917
10,611
11.860
16.229
18.726
16.854
17.2166
18.414
19,662
25.280
26,841
24,656
27.153
32,459
17.790
0
SPN
Pela (/S1/
112.052
60.077
192447
13.952
8,645
3,998
3,647
4.144
3.422
2,057
1.958
2.401
1,792
2967
845
815
2633
0494
2361
2265
TR No. 22
CHANNEL 10
=
L_
OBDANPrPUFWN COA
ACOV
VSTi Test.
225.899
221,217
220.191
212.092
209,635
2oT.oTT
204,8A9
197.752
194.185
187.790
184.036
178.290
174.605
168,594
165,184
159.270
153.068
152.540
146.681
140.670
134,873
131.2341
125.234
122.121
118,996
116.068
107.216
110.377
101.665
99.047
97.881
89,122
92.736
81.190
83.501
81.120
85.801
84,319
83.199
85,415
82.337
85.174
90,097
90,608
95.426
90.539
96.243
94.176
95,831
94,093
0
SP
99.2790
1370462
58,839
38.526
35.182
34.550
33264)
33.717
33.34)
33.187
33.493
33.521
330321
330327
336229
33031]
336396
33.048
32.894
32.878
322890
33.007
32.923
322799
32.866
32916
322974
33.217
33-23)
33.022
322986
332155
33.395
33.297
33.005
33.059
33.122
32.956
32.998
33.273
33.087
32.705
33.050
33.150
32.852
33.2131
33.210
32.728
322617
322743
16.351
0
RUN 6
PERIOD
0
1961.000
980,500
653,667
490.250
392.200
326,833
280.143
245.125
217.889
196.100
178.273
163.417
150.846
140.07]
130.733
122,563
115.353
108,944
103.211
98.050
93.381
89.136
85.26]
81.708
78.440
75.423
72.630
702036
67.621
65.367
63.258
61.281]
59.424
57.676
56.029
54.472
53.000
51,605
50.282
49.025
47.829
46,690
45.605
44,568
43.578
42,630
41,723
40,854
40.020
39.220
0
FREQ
0999999
0000510
0001020
2001530
0002040
0002550
2003060
0003570
6094080
0004589
2005099
2005609
2006119
6006629
0007139
0007649
0008159
0008669
©009)179
2009689
0010199
2010709
0011219
©011729
0012239
0012749
0013259
0013768
0014278
0014788
0015298
2015808
6016318
2016828
0017338
0017848
0018358
0018868
2019378
2019888
2020398
0020908
2021418
2021928
2022438
0022947
0023457
0023967
0024477
0024987
0025497
0
C=33
SPK
31144,.659
429022165
18363.770
12024.042
10980.373
10783.124
10499.423
105232143
10405.793
10357.729
10453.232
10461.971
10399,551
10401.423
10370.837
10396.430
10422.958
10314.347
10266.283
10261.290
10265.035
10301.551
10275.334%
10236.633
10257.544
102732149
10291.251
10367.092
103712462
103062232
10294.997
10347.742
10422.646
10392.060
10300.927
10317.780
10337442
10285.634
10298.742
10384.570
103262519
10207.296
10314.971
10346.181
102532175
10340.251
10364.907
102142474
10179.831
10219.156
51032180
0
mb
Not
DO 07 0 0 0 0 8 8 80 8 1 0 FT 8 8 8 8 8 8 0 8 8 8 0 8 8 8 8 8 1 8 8 8 8 8 0 0 0 0 0 I 7 TT NNO
TR No. 22
CHANNEL 10
ODMDATOMNEFWNMNKrOA
10
ACOV
116.506
112.403
109.672
105.794
100,887
96,105
91,298
87.161
84,028
81,291
79.321
77.780
U5 Viel
76.518
76,643
77,158
78,370
79,240
81.331
83,037
84,057
84.260
84,448
83,528
82.097
79,387
76,545
73,639
69,839
66,330
63,216
60.482
58.44)
56.262
54,588
53,514
52.536
51.652
51.224
50,749
50.282
49,593
49,400
48,848
47,973
46,829
45.655
44,195
42,130
49.232
37.931
0
SP
41.715
47.768
62615
3.235
5.882
4.623
1.641
098)
e719
2628
0376
e202
e124
2068
0966
2982
0971
0040
2052
0072
0102
2095
2932
0075
0092
2061
2945
2045
060
012
0969
0067
0956
0045
0070
0104
094
0967
0966
0963
205)
2053
0168
©9072
0052
RUN 6
PERIOD
0
1961.000
980,500
653,667
490,250
392,200
326,833
280.143
245.125
217.889
196.100
178,273
163,417
150,846
140,071
130,733
122.563
115,353
108,944
103,211
98.050
93,381
89,136
85,261
81,708
75.423
72,630
70,036
67,621
65,367
63.258
61.2481
59.424
57,476
56.029
54.472
53.000
51,605
50.282
49,025
47.829
46.690
45,605
44,568
43.578
42,630
41,723
40,854
40.020
39,220
0
FREQ
0999999
2000510
0901020
2001530
6002040
2002550
2003060
6003570
2004080
2004589
2005099
2005609
2006119
2006629
2007139
2007649
2008159
008669
2009179
2909689
2010199
2010709
2011219
2011729
2012239
0012749
2013259
2013768
2014278
2014788
2015298
2015808
2016318
2016828
2017338
2017848
0018358
2018868
2019378
0019888
2020398
o020908
2021418
2021928
2022438
2022947
2023457
0023967
2024477
2024987
2025497
0
C-3h
SPK
13019,335
14908.488
2064,555
1009.650
1835.,784
1442,.848
512,159
181.331
224.401
196,000
117.350
63,045
38.701
21.223
20.599
25,592
22.159
12.172
12,484
16.229
22.471
31,834
29,650
14,981
9,987
23,408
28,713
19,038
14,045
14,045
18.726
220.471
212539
20-911
17.478
14.045
21.847
32.459
29,338
20.911
20.599
19.662
15.917
16,541
21.223
22.471
16.229
10.924
12,484
20.599
13.420
0
TR No.22
SPN
111,748
1272963
17.721
8,666
15,757
12,384
4,396
1,556
1,926
1,682
1,007
2541
2332
182
aaLarall
220
2190
0104
elo?
2139
2193
e273
2254
2le9
086
2201
2246
2163
el2i
el2l
e161
0193
0185
Bie
2150
el2l
188
0279
2252
Gye
ol7T
169
SHS
0142
CHANNEL 10
ODADMNEWN— DSA
ACOV
52.140
46,234
41.731
35.583
30,254
254737
21-9A7
18,944
16.757
14,879
12.981
12.283
12,325
13.263
14,786
16.806
18,339
19.407
19.793
19,598
19,588
18.507
16.871
14,644
12.02)
9.211
6.906
4.408
3.379
2,668
3.281
2,947
2,796
2.206
1,593
1.377
1.900
2.492
3.168
2.792
2.123
1,538
2606
-1,.280
=2,696
=4,518
=6,152
=7,568
=8,262
=8,841
=8,371
0
SP
92304
13.723
52619
2.697
32939
4o715
3.24)
1.295
0686
01/43
e758
053?
0551
0586
035]
0199
e174
0125
e125
0159
0128
0094
099]
elll
2118
0090
0077
0966
0148
0054
006)
© 960
0058
0978
0998
0092
0984
2068
0068
2099
0988
0968
e072
2089
0089
0096
e115
e105
0970
0982
2055
f)
RUN 6
PERIOD
0
1961,000
980,500
653.667
490.250
392,200
326,833
280.143
245.125
217,889
196,100
178.273
163,417
150,846
140,071
130.733
122,563
115.353
108,944
103.211
98,050
93.381
89.136
85,261
81.708
78.440
75.423
72.630
70.036
67,62)
65,367
63.258
61,281
59,424
57,676
96,029
54,472
53,000
51.605
50.282
49.025
47,829
46,690
45,605
44,568
43.578
42,630
41,723
40,854
40.020
39.220
i)
FREQ
0999999
2000510
2001020
0001530
2002040
2002550
2993060
2903570
0004080
2094589
6905099
2005609
0006119
©006629
0007139
0007649
2008159
2008669
0009179
2009689
2910199
2010709
0011219
0011729
2012239
0012749
2013259
2013768
2014278
2014788
2915298
2015808
0016318
2016828
2017338
0017848
2018358
2918868
0919378
2019888
2020398
0020908
°021418
2021928
0022438
2022947
2023457
0023967
0024477
0024987
0025497
0
C-35
SPK
2903-797
4282,976
1753.701
841.739
12292370
1490.287
1011.523
404,172
214.102
231.892
236.573
166.038
171.968
182,892
109.548
59.299
54.306
39.013
39.013
49.624
39.949
29.338
28.401
34.643
36.828
28.089
24.032
20.599
14,981
16,854
19,038
18,726
18,102
24,344
39.586
28.713
26.217
21.223
21.223
28.089
270469
21,223
22.471
27.777
27.777
29.962
35.892
32.771
21,847
25.59¢
17.166
0
TR No. 22
CHANNEL 10
OBNDMNFWNR DK
ACOV
37,038
32.442
30,662
28,038
25.398
23.364
21.492
20.5935
19.370
18,866
18.120
WIG WIE
16.369
HIG UNE)
Wsverane
12.484
Less
9.769
8,799
8.363
7.555
6.630
5.713
Seon!
5.326
5.299
5,305
5.422
5.164
5.494
5.022
4.909
4,660
4.364
4,204
3.525
3,486
3.031
2.710
3.143
2,833
2.9R5
2.855
3.065
2.622
2.606
SP
72614
Le S51
5.854
22830
1.295
e132
2839
0918
e73)
Cair/al
0459
e315
2195
0129
ell
0156
e120
e075
0057
0074
el05
e097
0064
0054
0971
e088
~ 082
0064
052
2057
2988
2096
208)
- 080
0074
0067
0956
0059
008)
0982
2082
0109
2108
0I95
e100
0079
2063
0073
208?
2068
0025
0
RUN 6
PERIOD
0
1961.000
980.500
653,667
490.250
392.200
326,833
280.143
245,125
217.889
196,100
178.273
163.417
150.846
140,071
130.733
122,563
115,353
108.944
103.211
98.050
93.381
89,136
85.261
81.708
78.440
75,423
72,630
70.036
67.621
65,367
63.258
61,281
59.424
57,676
56.029
54.472
53.000
51,605
50,282
49,025
47.829
46-690
45.605
44,568
43.578
42,630
41.723
40,854
40,020
39.220
0
FREQ
2999999
2000510
2001020
2091530
0002040
00902550
2003060
0003570
2004080
2004589
0005099
2005609
2006119
©006629
2©007139
2007649
2008159
2008669
2009179
2009689
2010199
2010709
2011219
2011729
2012239
0012749
0013259
2013768
2014278
2014788
2015298
2015808
0016318
2016828
2017338
0017848
2018358
2018868
2019378
2019888
2020398
0020908
2021418
2921928
2022438
2022947
0023457
2023967
0024477
0024987
2025497
0
SPK
2376.345
3605.090
1827,045
883.249
404,172
228.459
261.854
286.510
228.147
178.210
143,255
98,312
60.860
40,261
44,006
48,688
37.452
232408
17.790
23.096
32.771
30,274
19,975
16,854
22.159
27,465
25,592
19,975
16,229
17.790
27.465
29.962
25.280
24,968
23.096
20.911
17.478
18.414
25.280
25.592
25.592
34,019
33,707
29,650
31.210
24,656
19.662
22.783
25.592
21.223
7,803
0
TR No. 22
CHANNEL 10
Cty D MOF WN OA
Aacov
292185
25.956
23.900
Billo
19,4R7
17.639
16.275
15.7458
Noe aS
16578
16.779
16.961
WhOvercurall
15.215
13,682
12.107
10,319
9.128
7.988
7,134
Oo iV
6.209
5,733
5.307
4,749
4,306
32464
2.919
2e1lBS
1.623
STS
2423
2009
=), 394
-0,661
=0,942
=ji,37/7
= | 2288
-1.585
2,160
=2.561
=2.950
=3,4A9
=4,280
=4,676
4,989
=5,.117
=5,2A7
5,427
=-5,547
-5,168
0
RUN 6
PERTOD
0
1961,900
980.500
653.667
490.250
392.200
326,833
280.143
245.125
217,889
196.100
178.273
163.417
150,846
149,971
VEO 5 7S)
L225 96!
IRS 5 SBS
198,944
103,211
98,050
93.381
89.136
85.261
31.708
738,440
75.423
72,630
70,036
67.621
65,367
63,258
61,281
59.424
57,676
56.929
54,472
53.000
51,605
50.782
49,025
47.829
46,690
45,605
44,568
43.578
42.630
41,723
40.854
40.920
39.220
0
FREQ
2999999
20000510
2001020
0901530
20002040
2002550
2003060
2003570
2094080
0904589
2005099
0906119
2006629
2007139
09DTH4Y9
2908159
0008669
-009179
2009689
e019}99
eVL0709
20011219
2011729
20012239
2012749
0913259
2013768
00142786
0014786
2015798
-015808
2015318
20116828
0017338
2017848
0918358
o 014868
2019378
0919888
2020398
2020908
0021414
-02)928
022438
0022947
023457
2023967
a024+477
0025497
Q
CoS
SPK
1922.460
3080.447
1438.,478
3R9,815
156.051
121,096
183.516
280.264
330.516
261,854
158.548
79,274
36.204
23.720
No Ss
220/83
21.535
20.28!
20,911
22.471
232.408
24.650
22.67)
220471
25.592
22-471
19,350
18.102
17,166
17,790
13.108
10,924
12,796
14,669
19,662
22.159
19,038
16,229
14,669
14,9A1
17,790
14.669
9.363
10,299
14,669
17.166
15.917
15,293
15.293
10.924
3.745
0
TR No. 22
CHANNEL 10
COUN TUF WN HDA
ACOV
42.185
38.261
360,272
33.877
Silay
390,257
A oe
24,501
Co ses
27,542
76.7152
26.961
26,354
25.739
24,388
23.449
22,562
21.669
21,099
BOS (al
19.995
19,742
19,480
18.8273
18,2274
17,198
16,573
16.061
Sve Ourar,
15.382
SAT
14,692
14.198
13.708
13,678
13.463
13.032
12.578
12-014
11.896
11,481
10.833
10,320
VO GwilS
9.665
9,559
9,498
9.472
9,022
8,555
R940
ra)
SP
122354
MaGays!
4.288
1,565
0990
0/9)
e728
oN A 4
al &
263)
043?
0245
alten
e190
2 l9N
eho5
0150
e158
2106
0055
e950
0951
0066
2 OT
0970
208)
0086
0967
2059
043
20148
0059
0076
0074
059
0959
2966
077
0973
0 N48
0037
0049
06?
0067
0176
009)
09S
0077
0150
e033
e913
A
RUN 6
PERIOD
0
1961,000
980,500
653,667
490,250
392,200
326,833
280,143
AOS) MEE)
217,889
196,100
178.273
163.417
150,846
140.071
NSO G'S
122,563
I Ses53
108,944
103.211
98.950
93,381
89,136
85.261
61.708
78.440
75.423
72,630
70.036
67.621
65,367
63,258
61.281
59.424
57.676
36.029
54.472
53.000
51.605
50.282
49,025
47,829
46,690
45,605
44.568
43.578
42,630
41.723
40,854
40,020
39.220
0
FREQ
0999999
20005) 0
2901020
0001530
2002040
2002550
2003060
2003570
0004080
2004589
2005099
2005609
2096119
2006629
2007139
2007649
2008159
2008669
0009179
20909689
2010199
2010709
2911219
2011729
2012239
2012749
2913259
2013768
°©014278
0014788
20015298
2915808
0916318
0916828
2017338
0017848
6018358
5018868
0019378
2019888
2029398
2020908
2021418
2021928
0022438
0027947
0023457
2023967
~V2447T
0024987
2025497
Q)
C-38
Wt NOs 22
CHANNEL 10
IA
OrTWDMNPFwWN—
ACOV
338.5648
332.549
327.417
3700714
314,339
307.956
371.2303
29350412
229.034
283.30
277.8094
272.710
2662242
261,082
255.2159
249.783
244.417
238,817
2342448
229.262
224,731
219-138
213.590
2082144
2032395
198.442
193.985
189.678
185.193
180,854
176.779
172.834
169.076
165.543
162.2392
159.867
157.416
154.751
152,562
149.061
146.886
144,279
141,552
138.269
135.033
132.145
129.343
126,823
123.87)
120.2969
117.571
0
SP
1276427
153-046
31.154
8349
45499
32040
22044
12334
1.97)
0833
0 144
0544
e396
023?
e219
028)
024)
2181
el6)
0193
0175
0131
0995
0065
0075
0094
e103
097
0109
2108
083
0058
©9050
e050
0054
004)
0153
0092
0196
0106
0086
e952
0953
0074
e1l2)
0153
212)
0078
0149
0052
0035
is)
RUN 7
PERTOD
0
1961.900
980.500
653,667
490,250
392.200
326.833
280.143
245,125
2172889
196,100
178.273
163.417
150,846
140.071
130.733
122.563
NUS GS ISE)
108.944
193.211
98.050
93.381
49.136
85.261
81.708
78.440
75.423
72.630
70.036
67.621
65.367
63-258
61.281
59,424
57.676
56.929
54,472
53.000
51.605
50.282
49.925
47,829
46.490
45.605
44,568
43.578
42.630
41.723
40,854
40.020
39.220
0
FREQ
2999999
6006510
eQUL020
001530
2002040
6002550
° 0030460
0003570
0004080
20004589
2005099
©905609
2006119
»006629
0907139
0007649
2008159
2008669
0009179
2099689
2010199
0019709
2011219
6011729
2012239
2012749
0013259
20013768
2014278
2014788
2015298
2015608
2016318
0016828
0017338
6017848
°018358
0018868
2019378
0019888
2020398
-020908
09214)]8
0021928
2022438
2022947
0023457
2023967
0024477
2924987
0025497
0
C-39
SPK
3977 0ecee
47765.963
9723.226
26056740
140414
948.790
637.936
416.344
334.261
2596981
2320204
169.783
95.503
72.408
B7.076
87.701
750217
56.490
50.248
600236
54.618
40.885
292650
20.287
232408
294338
32.147
300274
31.210
33-707
252904
18.102
156605
15.695
16.854
122796
16.541
28.713
33.083
33.083
260841
16.229
16254]
232096
37.764
47.752
37.764
242344
15.293
166229
10.924
0
TR No. 22
SPN
117.466
141,082
28.719
1,696
4.1417
2.802
1.884
1.230
2987
2/68
e686
050]
e282
02)
5ESY
0259
0e2e
e167
2148
2178
e161
ol2l
2088
2060
0069
2087
2095
2089
2092
2190
e077
0053
2046
2046
0050
2038
e049
0185
2098
2098
e079
0048
2049
2068
elle
014]
elle
072
0045
2048
0032
9)
CHANNEL 10
2 A
DNSTOUFWNY
G
ACOV
232076
20.518
20.080
19.222
18.344
17.598
16,939
16,379
15.748
14,917
14.148
13.334
12,690
11,895
11,354
19,440
WOR Shs!
9.496
9,088
8,592
8,154
(ea Siaie
1,268
6,556
6,234
Dees
Syele70
4,649
4,188
3.792
3,2A1
22679
2.010
1.595
Wersiral
20876
» 411
=0.,040
@(),3348
-0,932
-1.172
=-1.,/748
=2.222
=2,456
=2,713
=2.933
=-3,514
=3.400
=4,032
=4,536
-4,777
{)
RUN 7
PERTOD
0
1961.000
980,500
653,667
490,250
392.200
326,833
280,143
245.125
217,889
196.100
TER 2 US)
163.417
150,846
140,971
130.733
122,563
WN SBS)
108,944
OL Gass
98.050
93.381
49,136
85,261
81,708
78,440
75,423
tee O10
70,936
67,621
65,367
63.258
61,2A1
594424
57.676
26.0929
94,472
53.000
51,605
50,282
49,025
47.829
46,690
45,605
44,568
43.578
42,630
41.723
40.854
40.920
39,220
0
FREQ
2999999
2000510
0001020
2001530
0002940
«6002550
2093060
2003570
eNU40RD0
2004589
2005099
2005609
2006119
~006629
2007139
0007649
2008159
2008669
0009179
2009689
2010199
2010709
2011219
2011729
2012239
2013259
2013768
2014278
2014788
015298
2015808
2016318
0916828
2917338
7017848
2018358
0018868
2019378
2019888
0920398
2020908
2021418
2021928
2922438
2022947
0235457
2023967
0024477
0024987
2025497
0
C-O
SPK
18192243
C727 TTI
1107,.026
341,127
212.229
112,981
67.102
46.191
43,070
42,758
45.255
49.261
29.650
28s
27,465
18,726
14,357
16,854
14,357
8,739
9.363
9.9R7
11.548
14,669
14,0945
14,669
16,854
13,420
9,051
13.2108
17,166
15.917
13,732
11.860
11,548
13,108
15,695
19.975
19,034
12.484
9,987
15.293
20.287
17,478
16.229
17,790
13.420
72490
8.4Af
20,599
14.669
0
TR No. 22
CHANNEL 10
(
CEONTDTMNPFVDNeK BA
ACOV
49,560
46.092
45,649
44,563
43.275
41.474
40,510
39.802
38.981
34.4R9
37,623
37.020
362684
36.078
35.773
35.168
342409
33.2918
330477
33.089
33.000
320407
32.35?
31,800
31.545
312416
30,915
30-487
30.108
29.821
2922A9
29.4258
294138
29.072
29.381
28.618
24,646
262239
27,842
27,839
27.194
27.282
27.542
26.953
26.637
26.063
25,573
242996
24,665
232943
0
RUN 7
PERIOU
0
1961.000
989.500
653,667
490.250
392.200
326,833
280.143
245.2125
217.889
196,100
178.273
163.417
150.846
140.97]
130.733
122.563
115.353
108.944
103.211
98.050
93.381
89.136
85.261
61./08
78.440
75.423
72.630
70,036
67.262]
65.367
63.258
61.281
592424
57.676
56.029
54.472
53.000
51.605
50.282
49.025
47.829
46.690
45.605
44,568
43.578
42,630
41.723
40.854
40.020
39.220
0
FREQ
0999999
2000510
e001020
0001530
0002040
2002550
0003060
20903570
0004080
0004589
2005099
0005609
0006119
°006629
2007139
2907649
2008159
2008669
0009179
2009689
0010199
0010709
e011219
0911729
0012239
0012749
0013259
0013768
0014278
2014788
0015298
2015808
26016318
2616828
0017338
0017848
0018358
0018868
0019378
0019888
0025398
e02)908
00214168
0021928
2022438
0022947
0023457
0023967
0024477
0024987
0025497
0
C-41
SPK
5770.766
6541.970
1048,975
445.057
267.784
177.56
123.592
93.943
84,580
55.242
29265")
SGU
34.955
30.898
33.707
23-720
13.732
14.35!
200287
23.720
242656
19.975
15.9)/
170478
14.045
122484
14.9A)]
14.357
1324270
142045
18.414
20.599
19.038
18.414
210223
19.350
14.98]
242656
31.2210
302898
292029
19.662
19.975
24.2656
18.726
15.2293
192350
220159
22073
19.662
B8.4eaT
0
SPN
116,440
132,001
21.166
6,980
5,403
3,583
20494
1,896
A 0) t/
NG as)
2598
0689
AWA tke)
2623
2680
0479
OY
0290
0409
0479
6497
0403
e321
0 353
0283
0252
0302
2290
e271
0283
e372
0416
e384
e3ale2
2428
e390
e302
497
2630
sO23
2586
e397
0403
e497
2378
2309
2390
a44/
0460
0397
0170
0
TR No. 22
CHANNEL 10
OBADMNMEWNH OA
10
AcOV
49.294
45,658
45,165
43,5A4
42,177
41,330
39,811
39,020
36,737
35,523
34.703
33,474
32,365
31.493
30,894
29,753
28.951
2a S
27.012
25,875
24,5R2
23,604
22.809
22,051
Ave tor
70,642
WO el
18.292
l7os3
16,897
16.494
15.866
15.6R1
15.360
14,570
14.011
WSAWICTE
12.057
10,973
10,108
9.180
8.463
7.556
6,653
5.726
4,61]
4,057
3.591
3.180
2.642
19]
SP
15.756
20,532
52749
1258)
0859
061)
e520
e272
0225
2180
e139
2196
2196
014
007)
0 085
20095
0974
2050
2058
0068
CENTS
004?
0944
0047
GE)
0073
008?
0952
0029
0930
0929
0030
6 044
0067
20079
0064
0058
2087
2097
0082
0087
2097
e080
2073
0091
0094
0076
0953
005)
0929
0
RUN 7
PERIGD
0
1961,000
980.500
653.667
490.250
392,200
326,833
280.143
245.125
217.889
196,100
178.273
163.417
150,846
140.071
130.733
122,563
115,353
108,944
103,211
98,050
93,381
89,136
85,261
81,708
78.440
75.423
72.630
70.936
67.621
65,367
63,258
61,281
59.424
57.676
56.029
54.472
53.0900
51.605
50.282
47.829
46,690
45,605
44,568
43.578
42.630
41,723
40,854
40.020
39.220
0
FREQ
0999999
2000510
2001020
2001530
2002040
0992550
2003060
2903570
2004080
2004589
2005099
2005609
2006119
2006629
2007139
2007649
2008)59
2008669
2009179
2009689
2019199
2910709
2911219
2011729
2012239
2012749
20913259
2013768
0014278
0014788
2015298
0015808
2016318
0016828
001/338
0017848
2018358
2018868
06019378
2019888
0020398
2020908
2021418
2021928
0022438
2022947
2023457
-023967
0024477
0024987
0025497
0
C-4o
TRE NO ee
CHANNEL 10
¢
CMONTMNF WN CA
ACOV
40.218
36,378
SE O75
Mp 110) t/
30,736
28.922
26,933
25.35)
23.436
21,857
20,402
19,022
Wg Sie)
15.378
11.154
10,290
9.487
9,093
8,315
8,385
7,480
6.555
5.441
4,694
4,493
4,174
4,032
3.092
22638
1,918
1,787
Ladys)
2577
=-0,208
-1,014
=-1.422
=1,350
=1,530
-1.750
=2,059
=-2,682
=2,990
=3,538
=4,161
5,031
=5,066
=4,954
=4,660
=4,759
0)
SP
8.378
13.955
7022)
30271
1.832
0920
0512
238)
0367
0427
0398
0212
e103
2089
0126
0125
e058
0077
0140
0196
0042
2050
2062
0965
0063
RUN 7
PERIOD
0
1961,000
980,500
653,667
490,250
392,200
326,832
280.143
245.125
217,889
196.100
178,273
163,417
150,846
140,071
NSO 6 73S
122,563
115.353
108,944
103,211
98,0950
93,381
89,136
85,261
81,708
78.440
75.423
72,630
70,936
67,621
65.367
63,258
61,281
59,424
57,676
56.929
54.472
53.900
51,605
50.282
49,025
47,829
46,690
45,605
44,568
43,578
42,630
41,723
40,854
40,020
39.220
0
FREQ
6999999
eV00510
0001020
6001530
2002040
2002550
2003060
2003570
2004080
2004589
2005099
29005609
2006119
0006629
200/139
0007649
0008)59
2008669
2909179
2009689
2010199
2010709
2011219
2911729
0012239
2012749
2013259
2013768
20142778
2014788
0015298
0015808
2016318
2016828
0017338
2017848
2018358
018868
0019378
0019888
2020398
0020908
2021418
0021928
2022438
2022947
0023457
2023967
0024477
2024987
025497
0
c-h3
SPK
2614-791
4230.543
2253.69
1020,886
ST len
287.134
159.796
118.911
114,541
133.268
124,217
66.166
32.147
27.777
39,325
39.013
18.192
24.032
43,694
29.962
13,108
15.605
19,350
20.2eR7
19,662
19,975
22.47)
25.2k0
24,032
18.414
120484
11.236
11.548
11.548
10.611
9.363
14,669
21.223
22-783
24.344
23.408
24.032
32.771
36.20%
26,841
19,9795
25,592
28.401
19,662
12.172
5,306
0
TR No.
SPN
65.015
105,190
56,037
25,384
14.217
7,139
3.973
2.957
2,848
3,314
3,089
1,645
2/99
2691
2978
2970
2450
2598
1,066
AVE)
2388
481
2504
2489
2497
2559
629
0298
2458
e310
e279?
east
e287
0264
e233
e365
228
2266
2605
2282
2598
2815
e900
~66T
2497
636
2/06
489
e303
engi
0
Ce
CHANNEL 10
OONOMFWNRDA
SP
122569
19.922
9.416
2.18?
12054
2569
0453
0363
0260
023?
e215
0164
0143
eo 1l47
e1ll4
0104
elie
2085
oVNT1
0969
0949
0945
0055
0057
052
044
0042
0040
0036
0050
OS
2040
0042
0944
0951
0067
0983
0039
0062
0964
2069
0963
0968
0056
2065
0104
RUN 7
PERIOD
0
1961.000
980,500
653,667
490,250
392,200
326,833
280,143
245.125
217,889
196,100
Steen
163.417
150,846
140.071
WSO 7c)
122,563
VS .353
108.944
103.211
98.950
93,381
89.136
85.261
81.708
78.440
75.423
72.630
70.936
67.621
65,367
63,258
61,281
59,424
St oe) Fe)
56.929
54.472
53.000
51,605
59.282
49.025
47.829
46,690
45,6095
44,568
43.578
42.630
41.723
40,854
40.920
39.220
0
FREQ
2999999
000510
2001020
2001530
002040
2002550
2003060
»0U03570
2904080
0004589
005099
2005609
2006119
006629
20007139
0997649
2008159
2008669
0009179
2 009689
2010199
20010709
0011219
0911729
0912239
0012749
2013259
2013768
0014278
0014788
2015298
0015808
2016318
2016828
2017338
2017848
2012358
2018868
2019378
0019888
0020398
2020908
2021418
2021928
0922438
2022947
023457
2023967
0024477
0024987
0025497
0
c=.
SPK
3922.810
6217.696
2938.752
868,268
328.956
177.586
141,382
113,293
81.147
72.408
67.10¢e
51.1895
44,631
45,879
35.580
32.459
34,955
26.529
22.159
21.535
15.293
14.045
172166
17.790
16.229
13.732
13,108
12.484
11.236
15.605
15.91f
12.484
13,108
13.732
WEG Sil
19.975
20.911
25.914
BAU GUT
19.350
19,975
21535
19.662
21.223
17.478
20.2R7
32.459
32.771
20.911
13.420
5.939
0
IWR INO, 22
SPN
Tice Siral
122,402
58,041
17.149
6,497
3.507
2.792
CHANNEL 10
OGBnNDMNFPwWN-—-SssZ
ACOV
7R.3286
74,422
72.158
69.486
66.705
64,506
62,187
60,125
58.496
56.6948
Seq Shi) (7
53.667
522318
50.172
47,779
45.799
43.746
41.586
39.043
36.835
34,567
31,893
29.2112
272943
25,629
23,774
22,82)
21.235
19,688
17.894
15.687
13.809
11,970
9,939
B,736
{.516
6.96]
6.394
5.707
5.149
5.091
4,098
3,381
Io
2.837
2.873
2.607
2.476
2,578
2.105
2.418
()
SP
22.6496
322.64?
11.567
22465
16297
297386
e937
097?
0645
0 343
0 385
0390
0165
095
ole
ol67
2160
0125
ella
en?
085
e4
049
ewan
009?
0113
0UT?2
2935
0134
0 f56
5 (770)
2158
2056
062
e270
0069
0048
0163
289
e080
e073
0 084
298)
2048
0929
0937
995
06]
2050
0962
0049
Q
RUN 7
PERIOD
0
1961.900
980.500
653.667
490,250
392,200
326.833
280.143
245.125
217.889
196,100
178.273
163.417
150.846
140.071
130.733
122,563
ISS os
108.944
LOS G2 Wu
98.050
93)38)
89.136
85.261
B1.708
78.440
75.423
72.630
10), O36
67.621
65.367
63,258
61.281
59.424
57.676
56.929
54,472
53,900
51,605
50.282
49,925
47,829
46,690
45.695
44.568
43,578
42,630
41./23
40,854
40,020
39,220
0
FREQ
2999999
9V00510
2001020
0001530
2092040
2002550
2003060
2003570
099408U
0094589
2005099
2005609
20006119
2006629
2007139
2007649
2008159
2008669
2009179
2009689
26019199
0019709
0011219
0011729
0012239
0012749
2013759
2513768
2014278
2014788
0015298
2015808
20915318
2016828
0917338
017848
2018358
2918868
00149378
2919888
0020398
2920908
2021418
0021928
2022438
2922947
2023457
2023967
2024477
024987
0925497
0
Cak5
SPK
7145.8R7
10167.633
3610,0R4
769,331
376.707
307,733
2922440
303.363
2012396
M75 West!
120,159
199,236
51.497
29,650
39,637
52.121
49,936
39.013
34.331
33,399
262529
16,854
15,293
18.726
28.7)3
35,268
Pee47l
10,924
10,611
17.478
21.847
18,12
17.478
19,350
21,84/
21.2535
14,9R]
19,662
eTet7l
24.968
22.783
26.21¢
252280
14.981
9,051
11.548
17,166
19.038
15.605
LO esi50
12.484
0
TRONOn ee.
SPN
91.163
129,968
46,955
9,415
4,806
3.926
esi
3.870
2.948
1.366
1,533
1.394
2657
CHANNEL 10
a
a re
DISTRIBUTION
Addressee
Director of Defense Research and Engineering
Office of the Secretary of Defense
Washington, D. C. 20301
ttn: Office, Assistant Director (Research)
Office of Naval Research
Ocean Science & Technology Group
Department of the Navy
Washington, D. C. 20360
Attn: Surface & Amphibious Programs (Code 463)
Attn: Undersea Programs (Code 66)
Attn: Field Projects (Code 418)
Attn: Geography Branch (Code 414)
Attn: Ocean Science Programs (N61S)
Commanding Officer
Office of Naval Research Branch Office
495 Summer Street
Boston, Massachusetts 02210
Commanding Officer
Office of Naval Research Branch Office
219 South Dearborn Street
Chicago, Illinois 6060}
Commanding Officer
Office of Naval Research Branch Office
1030 East Green Street
Pasadena, California 91101
Commander
Naval Undersea Warfare Center
3202 Kast Foothill Blvd.
Pasadena, California 91107
Commanding Officer
Naval Torvedo Station
Keyport, Washington 98345
Chief of Naval Overations (Op03EG)
Naval Oceanographic Office Liaison Officer (Code 332)
Anti-Submarine Warfare Force
U. S. Atlantic Fleet
Norfolk, Virginia 23511
TR No. 22
No. of Copies
aL
PRPRPEP
TR No. 22
DISTRIBUTION (2)
(
Addressee No. of Copies al
Director al
Naval Research Laboratory
Washington, D. C. 80390
Atta: Code 5500
Commander IL
Naval Oceanographic Office
Washington, D. Ce 20390
Attn: Code 1640 (Library)
Attn: Code 031
Attn: Code 70
Attn: Code 90
Attn: Mr. Pat DeLeonibus
PRRPPR
West Coast Support Group aL
Naval Oceanographic Office
c/o Naval Command Control Communications Laboratory Center
San Diego, California 92152
Naval Oceanographic Office Liaison Officer (Code 332) 1.
Anti-Submarine Warfare Force Pacific
Fleet Post Office
San Francisco, California 96610
Commanding Officer Al
Naval Torpedo Station
Keyport, Washington 98345
(QEL Technical Library)
Commanding Officer and Director aL
Naval Ship Research and Development Center
Washington, De. C. 20007
Attn: F. N. Frenkiel Al,
Commander
Submarine Force Pacific Fleet
Fleet Post Office
San Francisco, California 96610
Commander=in=-Chief alk
Pacific Fleet
Fleet Post Office
San Francisco, California 96610
Commander 2
Naval Ordnance Systems Command (ORD-9132)
Department of the Navy
Washington, D. C. 20360
Attn: Mr. John Ropek 03C
h
a
TR No. 22
DISTRIBUTION (3)
Addressee No. of Copies
Chief Al
Naval Air Systems Command
Department of the Navy
Washington, D. C. 20360
Attn: ATR 370E lL
Office of the U. S. Naval Weather Service i
Washington Navy Yard
Washington, D. C. 20390
Chief
Naval Facilities Engineering Command
Department of the Navy
Washington, D. Co
Attn: Code 70
Commander
Command Control Communications Laboratory: Center
San Diego, California 92152
Attn: Code 3102
Attn: Code 3060C
Attn: Dr. E. C. LaFond
a
Commanding Officer a
Pacific Missile Range
Pt. Mugu, Hueneme, California 98641
Commander, Naval Ordnance Laboratory alt
White Oak
Silver Spring, Maryland 20910
Commanding Officer Al,
Naval Weapons Center
China Lake, California 93557
Commanding Officer 1
Naval Radiological Defense Laboratory
San Francisco, California 94135
Commander 1
Naval Ship Systems Command
Department of the Navy
Washington, D. C. 20360
Attn: Code 16228 1
Commanding Officer and Director al
U. S. Naval Civil Engineering Laboratory.
Hueneme, California 93041
DISTRIBUTION (4)
Addressee
Officer~in-Charge
Navy, Weather Research Facility
Naval Air Station, Bldg. R-48
Norfolk, Virginia 23511
Coumadning Officer
Naval Air Development Center
Johnsville Pennsylvatiia 1897)
Attn: WNADC Llibrary
Fleet Weather Central Joint Typhoon Warning Center
COMNAVMARTANAS Box 12
San Francisco, California 9101
Superintendent
U. S. Naval Academy
Amepdlis, Maryland 21402
Department of Meteorology & Oceanography
Naval Postgraduate School
Monterey, California 93940
Commanding Officer
Navy Mine Defense Laboratory
Panama City, Florida 32402
Attn: Mr. Robert Williams
Commanding Officer
Naval Underwater Sound Laboratory
New London, Connecticut 06321
Officer-in=-Charge
Fleet Numerical Weather Facility
Naval Postgraduate School
Monterey, California 93940
Commanding Officer and Director
Naval Training Device Center
Orlando, Florida 32813
Headquarters, Air Weather Service (AWSS/TIPD)
Seott Air Force Base, Illinois 62225
AFCRL (CRZF)
Le G@ Hanscom Field
Bedford, Massachusetts 01730
TR No. 22
No. of Copies
A,
(
DISTRIBUTION (5)
Addressee
Coastal Engineering Research Center
Corps of Engineers
Department of the Army
Washington, De Ce 20310
Attn: Mr. Leo C. Williams
Army Research Orfice
Office of the Chief of R&D
Department of the Army
Washington, D. C. 20310
Army Beach Erosion Board
5201 Little Falls Road, N. W.
Washington, D. C. 20016
Director
Army Engineers Waterways Experiment Station
Vicksburg, Mississippi 49097
Attn: Research Center Library
Defense Documentation Center
Cameron Station
Alexandria, Virginia 20305
National Research Council
2101 Constitution Avenue, N. W.
Washington, D. C. 20418
Attn: Committee of Undersea Warfare
Attn: Committee of Oceanography
Laboratory Director
California Current Resources Laboratory
Bureau of Commercial Fisheries
Ro Oo Jsone Byal
La Jolla, California 92038
Commander
First Coast Guard District Headquarters
1400 Custom House
Boston, Massachusetts 02109
Director
Coast & Geodetic Survey = ESSA
Attn: Office of Hydrography & Oceanography
Washington Seience Center
Rockville, Maryland 20852
TR No. 22
No. of Copies
all
20
DISTRIBUTION (6)
Addressee
Director
Atlantic Marine Center
Coast & Geodetic Survey = ESSA
439 West York Street
Norfolk, Virginia 23510
Director
Institute for Oceanography
ESSA
Gramax Building
Silver Spring, Maryland 20910
ESSA
Geophysical Sciences Library (AD 712)
Washington. Science Center
Rockville, Maryland 20852
Commanding Officer
Coast Guard Oceanographic Unit
Bldg. 159, Navy Yard Annex
Washington, D. C. 20390
Attn: Mr. Melvin Light
Chief, Office of Marine Geology & Hydrology
Geological Survey
Menlo Park, California 91025
Director
Pacific Marine Certer
Coast and Geodetic Survey - ESSA
1801 Fairview Avenue, East
Seattle, Washington 98102
Geological Division
Marine Geology Unit
Geological Survey
Washington, D. C. 20240
National Science Foundation
Office of Sea Grant Programs
1800:G Street, N. We
Washington, D. C. 20550
Director
Geophysical Fluid Mechanic Research Laboratory
ESSA 615 Pennsylvania Avenue, N. W.
Washington, D. C. 2000}
Attn: Dr. Ae He Dort
TR No. 22
No. of Copies
al
(
DISTRIBUTION (7)
Addressee
Bureau of Commercial Fisheries & Wildlife
Fish and Wildlife Service, Librarian
Sandy Hook Marine Laboratory
Po O. Box 428
Highlands, New Jersey O7732
Director
National Oceanographic Data Center
Washington, D. Ce. 20390
Laboratory Director
Biological Laboratory
Bureau of Commercial Fisheries
#75 Virginia Beach Drive
Miami, Florida 33149
Director, Bureau of Commercial Fisheries
Fish & Wildlife Service
Department of the Interior
Washington, D. C. 2020
Dr. Gene A. Rusnak
Geological Survey
Marine Geology & Hydrology
345 Middlefield Road
Menlo Park, California 94025
Assistant Director
Oceanography Museum of Natural History
Smithsonian Institution
Washington, D. C. 20560
Laboratory Director, Biological Laboratory
Bureau of Commercial Fisheries, P. 0. Box 6
Woods Hole, Mass. 02543
Advanced Research Projects Agency
The Pentagon
Washington, D. C. 20310
Attn: Wuclear Test Detection Office
Director
Woods Hole Oceanographic Institution
Woods Hole, Massachusetts 02543
TR No. 22
No. of Copies
dl.
Addressee
Director
Hudson Laboratories
145 Palisade Street
Dobbs Ferry, New York 10522
Director
Seripps Institution of Oceanography
La Jolla, California 92038
Applies Physics Laboratory
University of Washington
1013 N. E. Fortieth Street
Seattle, Washington 98105
Director
Ordnance Research Laboratory
Penn State University
University Park, Pa. 16801
NAVY-1ND, DPPO, Newport, R. I.
DISTRIBUTION (8)
TR No. 22
No. of Copies
all
UNCLASSIFIED
Security, Classification
DOCUMENT CONTROL DATA-R&D
Security classification of tithe, body of abstract and indexing: annotation must be entered when the overall report is classified)
1 ORIGINATING ACTIVITY (Corporate author) 2a. REPORT SECURITY CLASSIFICATION
UNCLASSIFIED
2b, GROUP
Naval Underwater Weapons Research and
Engineering Station, Newport, R. I.
7 REPORT TITLE
Turbulence Measurements in a Tidal Current
4, DESCRIPTIVE NOTES (Type of report and,inclusive dates)
5. AUTHOR(S) (First name, middle initial, last name)
Massey, Alan T.
6. REPORT DATE 7a. TOTAL NO. OF PAGES 7b, NO. OF REFS
August 1968 143 23
8a. CONTRACT OR GRANT NO 9a. ORIGINATOR’S REPORT NUMBER(S)
. PROJECT NO. TR No. 22
ib Task Assignment No re 9b. OTHER REPORT NO(S) (Any other numbers that may be assigned
R360-FR-107/219 1/Ro11-01-01 this report)
. DISTRIBUTION STATEMENT
This document has been approved for public release and sale; its
distribution is unlimited
SUPPLEMENTARY NOTES 12. SPONSORING MILITARY ACTIVITY
NUWS - NOSC
- ABSTRACT
Measurements were made of the component of turbulent velocity
along the axis of a 3-knot tidal current 1.5 meters below the water
surface using a ducted impeller current meter. Values of the one-
dimensional energy spectra were computed on a digital computer at
wave numbers from 0 cm-l to 0.157 cm-l. The composite energy
Spectrum obtained from the individual spectra was of the -5/3 power
law form predicted by the Kolmogoroff hypothesis for wave numbers
from 0.01 ecm-! to 0.026 cm-l. At higher wave numbers the energy
spectrum decreased more rapidly than predicted because of attenuation
of the turbulent velocity variations caused by the relatively large
size of the current meter. The average variance for the field of
turbulence was 55.6 cm2 - sec7-2 +25.0 (standard error), and the
average rate of energy dissipation by viscosity was estimated using
the Kolmogoroff hypothesis as 0.84 cm2 - sec73.
D)D) Oe als) (PRE 1) UNCLASSIFIED
S/N 0101-807-6811 Security Classification heahaos
UNCLASSIFIED
Security Classification
OCEAN CURRENTS
TURBULENCE (OCEAN)
TIDAL CURRENTS
AIR - SEA INTERACTION
CURRENT METERS
DD uneicel Aig oS. (BACK)
1-807-6821
UNCLASSIFIED
Security Classification A-31409
daIsaISSVTONN
10-10-TT0U/T
617/LOT-YsA-09EU
“ON JUoWUSISSY Ase]
“Ly ‘Aasseyy
(ue35Q9) 22ueTnqm |
sjuasiny [epry
squasiny ueI99
S191a}y JUasIN»D
uOTIDeIaIU] vaS-IIy
GaIdISSVTIONN
[0-10-11OU/T
6172/LOT-Ut-09EU
“ON JUaWUdISSy 4SeT
“Ly ‘Aassep
(ue39Q) aduajnqm]
sqluaiin,) [eply
squaliny ur35Q
sJo1oW JuolIN>»)
uOTIDEIDIU] vaS-lly
wor paureiqo wnijoads AFjJaua aitsodwod ayy *7.wo
LST°0 02 WS ( Wosy siaqunu aavM Je Jajndwod |B)
-131p & Uo poindwod ajam vidads Adiaua ;euoTsuawIp
-9UO ay) JO SanjeA “JoloW JUaIINS Joyyadw1 paionp
v SUISN JdvjINS J31VM JY) MOTIq SJaJaW G*T IUaI
-IND [BPI] OUA-€ & JO STXe OY? FJuoye AIwSo]Paa Juajnq
-3ni JO UJUOdWOD oY) JO ApLW dIOM SiUaWAINSvIY
GaIAISSVTIONN
"8961 asndny ‘dd¢py ‘Aassey “yy *y 4q ‘LNAWUNO
IVIL V NI SLNSWAUNSVAW AONATNGUAL
(ZZ ‘ON UL)
‘Ty ‘uodmany ‘uonvig
Surjaoursuq pue yoivasay suodea,, Jaiemiopuy [earn
wolj paurvaqo wnijoads Adjaua ayisodwod ayy *y-we
LST°0 02 WO Q Woy sioquinu aAevM ye JaIndwODd [v3
-131p e uo poindwosd ajam endads {31aua |vuorsuouTp
-9U0 Yi JO San[VA “Jajaw jvaIIND Jajjoduit paionp
v SUISN JdvjINS JajVM JY) MOTOq SsJoIoW CG" UOT
-IND [epi IOUH-¢ v JO SIX¥ dy Buoje AIo]9A uajng
-in} Jo UQUOdWODS ay) JO apewW dJam SjUJWaINSLapW
GaIAISSVTONN
"8961 asndny “dd¢yT ‘hassew “1 “vy 4q ‘LNAUUND
TVCIL V NI SLNAWAYASVAN SJONATNAGUAL
(ZZ “ON UL)
‘Tu ‘uodmay ‘uores
Zurjaoulguy pue yoivasay suodea, Jaiemiopuy [vactn
GaIdISSVTONNA
10-10-TT0U/T
612/LOT-UsA-O9EU
‘ON JUsWUTISSY Ase]
“Ly ‘Aassew
(ue3I09) adua;nNqmy],
squasiny) [epry
sqUaqnD uesI9
SJaIDW JweIIN-)
UOTIDBIaIU] VAS-ITy
GaldISSVTIONN
10-10-1T0U/T
61C/LOT-UA-O9EU
‘ON JuawUdISSy ySey
"Ly ‘Sassep
(ue39Q) aduaz_nqin {
sjuaimy [Upry
sjuauny uea59
SJalopw won)
UOTIIVIaIU] VAS-Iy
Wojj paureiqo wni30ads Adiaua aytsodwod ayy "yuo
LSI'0 03 7_wo Q Wo3j siaquinu aAeM Je JayndwoOd {eI
-131p & uo painduwiod aJam enodads Adiaua jeuotsuawitp
-2U0 ay) JO SanjeA “Jo}JaW JUaIIND Jaypjadwt payonp
e JUISN Jd¥jINS JaIEM JY) MOTAq SJaIOW G*T JUaI
-IND [epl2 10Uy-¢ wv JO sIxe ayI Juoye Aidoyaa yuajng
-3nj JO 1UaUOdWOD aYyi Jo apew dJaMm SiuaWaINseay
GaIdISSVTONN
“8961 asndny “dd¢py ‘Aassepy *y “y 4q ‘LNAWYAD
TVGIL V NI SLNAWAUNSVAW JONAINGYNAL
(ZZ “ON UL)
"Ly ‘uodman ‘uomeis
guljaaurzuq pue ydiwosay suodea, Joyemiopuy [eaen
wojj paurvigo wn3j9ads Adi3aua aj1sodwod ayy *y-w2
LST°0 03 ,_Wo 0 Woxy siaquinu aAEM Je JaIndwod [eI
-191p & uo paindwod ajam enoeds Adiaua jeuotsuswip
-2U0 ay) JO SanjeA ‘JajIawW jUaIIND Jayjadwr payonp
wv ZUISN JdvJINS JajIVM DY MOT2q SJaIaW G*] IUaT
-IND [BPl3 IOUY-€ v JO SIxe aYyI Juoye AWdo]aA Juayng
-3nj JO JUaUOdWOD ay) JO SpewW 313aMm SiUaWaINsSvaW
daIHISSVTONNA
"8961 isndny “dd¢yy ‘hassew “1 *y 4q ‘LNAYYUND
IVIL V NI SLNAWAUNSVAW JONATINGUNDL
(ZZ “ON UL)
‘Ty ‘Nodmay ‘uores
Suljaaurguy pue yoieasay suodea, JaaeMsapu/) [EARN
*¢.0as
— 7uo y8°0 se sisayjod Ay yyosodowyoy ayi Siren
paiewrisa sem Aitsoosta Aq uosiedisstp Ad1aua Jo a1v1
agesaae ay) pur ‘(Jo3Ia prepueis) Q'S7F 7.998 — ZWD
9°S¢¢ SUM adUaLNqINI jo platy ayy JOY QUvTIVA age
-JaAe BY] *19I0W JUaIMD day) Jo azIs ad3v{ ApaaTIvjaI
aya Aq pasned suoneriea AiD0J9A Jarnqind ay2 jo
vorlenuaiy jo asnvoaq paiorpaad uvyy AyTprdes aiou
pasvaap wnsidods Ad19ua aya Sioquinu dawmM JoysTY
VY “{-WD 9Z0°0 93 7[-W> T0°O Wor sJoquinu DAUM
joy stsayiod Ay yyosroSowjoy ayi Aq parsipaid ursoy
mel Jamod ¢/G- ay jo sum evij20ds [UNplATpuT oy
*¢.9as
— 72 y8°0 se stsayiodAy jyoiosowjoy aya dursn
pajewrisa sem Aitsoosta Aq uonedissip Adsaua jo aivs
adevsiaav ayi pue ‘(30319 piepuvis) Q°SZ7# 7-998 — WWD
9°SG SBM aduUaTNqGINI JO Paty ayi JOJ aduviIeA ade
-I9Ae DY] *J9IOW JUdIIND dy} Jo azZIS adv] ALAA VAI
ayia Aq pasned suonvriiva Ai90[9A quaynqini ayi jo
uorjenuaijy jo asned0q paidipaid uey) Ayprdes asow
pasvoisop wnijdods Adioua ayi SJoqunu sAvM JaYysIY
Wy *{-W2 9Z0'0 9} 7-WO [0'O Wor soquinu aAeM
Joy stsayiodAy jyosodowyoy ay) Aq parsipaid wioj
ME] Jomod €/G- ay) Jo sum vIIDoOds JUNprlarpuT aya
*¢.2as
— 7uo 780 SB stsayiod Ay jjoro3owjoy ayi Sinan
paiewr3asa sem Aitsocsta Aq uoredisstp A81aua jo 3383
adesaae ay? pue ‘(J01Ja psepuedis) 0°SZ7F 7-995 — ZWD
9°SG Sem aduatnqiny jo platy 243 JOJ ouvTIBA age
JaAv JY] “3920W JU|IMI ay) Jo azIs aIIv] Ajaarivyas
ay fq pasned suonerea AID0[aA yuaynqimy ayi jo
uorjenuaie jo asnvdaq paidipaid uey) Ajpidei alow
pasvoisap wnijdads Adi9ua ayi SJoquinu sAuM Jaysty
IY “T-W9 9Z0°0 03 [-WO 10°O Wor sJoquinu saem
Joy stsayiodAy jjososowyoy ayi hq parrpasd wo}
mr] Jomod €/¢- ayi JO sem eida0ds [enprarpur aya
*¢.2as
— zu 78°0 se stsayiodAy jjosoJowjoy ay3 dursn
paaewrise sem Aqsoosta Aq uoredissip A3iaua jo aie3
aseiaav sy) pue ‘(J03Ja piepueis) Q°S7F 7-998 — ZWD
9°6¢ SUM aduatNqini jo Pjatj ay? JOJ aduvIIVA ade
eJ9AB YT “JaJaW JUaIIMD ayi Jo azIs ad3vy Apaaravypas
aya Aq pasned suoneriea AiD0[9A JUayNgsa ay2 Jo
vorienuoie jo asnvoaq paisipasd uvyi A[pides asow
pasvoisap wnsidads Adiaua ay Sioquinu aaem IJaysIYy
VV *{-WO 9Z0°0 93 7-WO 10°O Woy ssoquinu aAeA
Joy stsayiodAy yyosoSowyoy ay Aq paistpasid wos
mr] Jamod €/¢- ayi jo sem vi390ds [enprarpur aya
A-31409
dalsISSVTONN
10-10-1T0U/T
617/LOI-Us3-09EU
“ON JUowUZISSy sey
“Ly ‘Aassepy
(ue35Q) 2sduaTnNqm TL
squadiny [epryh
sjuadin>Z ues5Q
slajayy JuolInD
UOTIDeIIIU] waS-IIy
GaIsISSVTIONN
10-10-T10u/T
617/LOT-U5-09EU
‘ON JUaWUdISsY SET
“Ly ‘Sassepy
(ue39Q) aduajnqm 7
sjuaim, [epry
squaiin) ur35Q
SJ21ofy JuasInD
UOTIDBIAaIU] LaS-IIy
woly paurwiqo wnsj2eds AF1aua aytsodwos ayy, *;.wo
LST'0 02 WO 0 wWosy ssaquuU aAemM Ie Ja3Indwod ]wI
-131p e uo poindwod aiam eindads Adiaua [euotsuawIp
-3U0 dy) JO SanTeA “JaIaW 3UaIIND Jayyadw paionp
B JUISN ad¥jIns J3aIeM aYyI MOTAq SJaIaW C*T IuaI
-IND [ePl2 10UH-¢ & JO STxe aYI Juoye AIS0]aA Juang
-In} JO JUaUOdWOD ay} JO apewW d1aM S}UaWaINSeaW
GaIAISSVTONN
"8961 sndny ‘dd¢yy ‘Aassew “1 ‘vy Aq “LNAWYND
IVIL V NI SLNSWAYUNSVAW JONATINGUNL
(ZZ ‘ON UL)
‘T ‘y ‘uodman ‘uo13Ts
Zutjaaursguq pue yoivwasay suodeap, JayemsJopuy [eAeN
wolj pauryaqo unijoads Adjaua asisodwod ayy *y-wo
LS1‘0 03 {WO (Q WoIJ sioquinu SAeM Iv JajndwWOS {x1
-131p © uo poindwod aiam veu2ads AJ1aua jvuOTsSUOUITp
-9U0 dy JO SanjeA “JoaW jWaIIND Jo;jadwy paionp
ve dursn a0vjins Jajyem dy} MO[aq SJooW G*] qual
-IND [BPli IOUx-¢€ & JO SIX dy) Juope Ao 9A yuatng
-Inj JO JuQUOdWODS ay) Jo apew d3om s}JUIWaINSvap
daIAISSVTONN
"8961 isndny “dd¢yy ‘hassew “y “y Aq ‘LNAWUND
TVGIL V NI SLINAWAYUASVAW JONATINGYAL
(ZZ “ON UL)
‘Tu ‘vodman ‘uones
Zuljaaulsuy pue ydiwasay suodeay,, Jayemsopuy) [earn
GaldISSVTONN
10-10-TT0U/T
612/LOT-Us-09CU
‘ON 3UawUdISSY ySey
‘Ly ‘Sassep
(ue39Q) aduarnqmy]
squaimny [eply
sjuaqn> ue3IQ
SJaqoW JuUsIIN-)
uol}D¥IaIU] LaS-IIy
daidIssv1ONA
10-10-1T0U/T
612/LOT-YA-09EU
‘ON JuawudIssy ysey
“Ly ‘Sassen
(ue39Q) aduaynqmy]
sjuasimy [tpl]
sjuasiny ue%a5Q
Slajayp qweINy)
uor1IeIAIU] vaS-IIY
woJj pauteiqgo wn33Dads AFjaua aytsodwod ayy *y-wo
LST‘'O 03 7_wW9 Q wos; siaquinu aAeM 3e JayndwoOS {83
-131p e YO poIndwod 3jam Bydads AFjaua [eUOTSUSWTp
-2UO ay) JO san{wA *3JaJaW IVaIIND Jayjadwt payonp
¥ JUISN SdBjINS JaIEM Jy) MOTAaq SJOIaW C*] Wa
-IND [BPl} IOUx-— w JO SIXB aYyI Juoye AD0]aA Juang
-inj jo quauodwos 943 JO 9peW oJoM SIUOWoINSeap
GaIaISSVIONN
"8961 asndny ‘dd¢pT ‘Aassepw -y ‘vy Aq ‘INANUND
TIVGIL V NI SLNYNAUNSVAW AONATNGYNL
(2Z ‘ON UL)
‘Ty ‘uodmay ‘uones
Surjaaurguq pue yoiwasay sucdea4y Jayemsopuy) [eacn
Wo paurL3qo unsidads AJaua aytsodwos ayy "7 .wo
LST‘0 03 ,_Wo Q Wo3j siaquinu aaeM Je JoIndWOD [eI
-131p @ uo poinduiod ajam eii2ads AJ1aua ;euoTsuaWTp
-9U0 dy) JO SanjeA “JoJaW JUaIIMD Jayjadwr pazyonp
e ZuIsn advjIns JajvM JYI MOTIq SJajaW C*T Judd
-IND [Bpl3 JOUH-¢ v JO sixe ay? Juoye Aoo]aAa quaynq
-3Inj jo quauodwo3 947 JO gpew 919M SlUQW9OINSeOW
daIaISSVTIONN
"8961 asndny “dd¢py ‘Aassew “1 *y Aq “LNAWUND
IVIL V NI SLNAWAUNASVAN FONATINGUNL
(ZZ “ON UL)
‘Ty ‘uodmay ‘uo s
durjaaurguq pue yoivasay suodea, JayemJopuy) [ABN
*¢.0as
— wo y8'0 se stsayjod Ay jyosodowyjoy ay3 fing
paiewrisa sem Aisoosta Aq uoriedisstp Adsaua jo avi
aseiaae ay) pue ‘(J0IJa psepueys) Q°S7F 7.998 — ZWD
9°C¢¢ Sem adualNqiny Jo ppaty aya Joy DuvIIVA ade
eI9AB BY] 110]0W JUaIMD ay} Jo azIs adsv{ ApaaTivpas
aya Aq pasned suonerea AID0J9A JUaTNqsn3 9y3 jo
uorjenuaie jo asnedaq pardipaid ueya Aj prides azou
paseaisop wniidads Ad19ua oy SJoquinu sAuM jauydsiy
VY “TW 9Z0°0 OF [-WO 10°O WoIy SJaquinuU JAVA
Joy stsayiodAy jjosroSowjoy ays Aq parorpasd ursoy
me Jamod ¢/G- ay3 jo sem viqdads [Unplarpuy ayd
*¢2as
— zo y8"0 se stsayjod Ay jjoioJowyjoy ay3 haren
pajewrise sem Aitsoosta Aq uoredissip Ad1aua jo a3e1
adesaav ayi pu ‘(30119 prepuTis) Q°SZF 7-998 — 7WD
9°GG S¥M JDUaTNQINI jo platy ayy JOJ aductIeA adv
-J9AB DY] “J9JOW JUaIIND ay} jo azIs adIv] Apaativyjas
aya Aq pasned suonvrivaA AW50[9A juaTNqiny ay) jo
uorjenuaije jo asnedaq paidipaid uvys Ayprdes asow
pasvaidop wnsqidads A3soua ay SJoquNu JABM JOYyTIY
VY ‘7-W 9Z0'0 OF 7[-WO [0'O Wor sroquinu aAuM
1oy stsayiodAy jyosodowyoy ay Aq paroipaid wos
Me, Jomod ¢/¢- ay Jo sum vIIDOdS [UNprarpurT oy
: *¢.0as
— wo y8'0 SB stsayiod Ay jjoroJow oy ays Biren
paiewrisa sem Ajrsocsta Aq uoliedissip A¥iaua jo 3381
adejaae ay) pue ‘(30112 psepueis) Q°S7F 7-298 — ZWD
9°SG sem aouarnqiny jo pyalj ayi JOJ oouULTIBA age
eJaAe JYJ, “J930W JUaIMI ay) Jo azIs a3Ie] Ajaatavyar
aya Aq pasnes suosieriva AiD0[9A Jwalnqm) syI jo
uorjenuaie jo asnvoaq paiorpaid uey3 Ajpides azow
paseoisap wnsidads Adioua ay) sJoquinu aAcM jaysty
yy *y-W2 9Z0°0 9} [-WO 10°0 Wosj siaquinu aAem
yoy stsayiod Ay jjosodowyoy aya Aq parsipaid wi0j
mv] Jamod €/G- ayi Jo sem esidads [enprArpur ayi
*¢.9as
— zw2 780 se stsayiod Ay jjosoZowjoy ay3 Pen
paaewirasa sem Airsoosta Aq uonedissip A3saua Jo a3e3
adesaav sy) pue ‘(J03JJ9 pivpueIs) Q'S7F 7.998 — ZWD
9°SG SBM aduUaTNqINI JO Pal} eY3i JOJ QIuLTIvA age
-19AB DYT *JaIaW aIMD ay3 Jo azIs adivy Apaariejas
aya Aq pasned suoneriea AID0[IA yaTNqIar ay2 jo
uoTienuaie jo asnvdaq paisipasid uvya Ajpides asow
pasvoisop wnsidads A3iaua ayy sJoquinu aAeM JsysTY
IY ‘{-W2 9Z0'0 OF [-WO TOO Wosy ssaquinu oAeA
joy stsayzodAy jyosoSowyoy aya Aq parorposd wios
me] Jamod €/¢- ay2 jo sem viz2ads [eNprarpur aya
9)
A=STA0
Live Music Archive
Librivox Free Audio
Metropolitan Museum
Cleveland Museum of Art
Internet Arcade
Console Living Room
Books to Borrow
Open Library
TV News
Understanding 9/11