3N 2 6

PB 151365

*€ecknical ^ote No. 6

AN ANALYSIS OF PROPAGATION MEASUREMENTS MADE AT

418 MC WELL BEYOND THE RADIO HORIZON

U. S. DEPARTMENT OF COMMERCE

NATIONAL BUREAU OF STANDARDS

NATIONAL BUREAU OF STANDARDS

technical *vlote

May, 1959

An Analysis of Propagation Measurements Made at 418 Mc

Well Beyond the Radio Horizon

by

H. B. Janes, J. C. Stroud and M. T. Decker

NBS Technical Notes are designed to supplement the Bureau's regular publications program. They provide a means for making available scientific data that are of transient or limited interest. Technical Notes may be

listed or referred to in the open literature. They are for sale by the Office of Technical Services, U. S. Department of Commerce, Washington 25, D. C.

DISTRIBUTED BY

UNITED STATES DEPARTMENT OF COMMERCE

OFFICE OF TECHNICAL SERVICES

WASHINGTON 25, D. C.

Price $ 2.25

An Analysis of Propagation Measurements Made at

418 Mc Well Beyond the Radio Horizon

by

H. B. Janes, J. C. Stroud and M. T. Decker

Summary

This report presents the results of an analysis of transmission

loss measurements made at 418 Mc over the 134-mile path from

Cedar Rapids, Iowa to Quincy, Illinois during 1952 and 1953. The

data consisted chiefly of continuous simultaneous recordings of signal

level at several receiving antenna heights, ranging from 30 to 665 feet

above ground. These data are reduced to tabulations of hourly median

values of basic transmission loss and fading range. These values, as

well as the hourly difference in transmission loss observed at two

heights (height-gain) are also shown plotted in scatter diagrams versus

time of day for each of the 13 two-week recording periods. The medians

for each recording period of all hourly values of median basic transmission loss, fading range and height-gain are plotted versus time of

year to show any seasonal variation in these statistics. A formula

developed at NBS for predicting the median basic transmission loss in

tropospheric scatter propagation is shown to be in good agreement with

the data. The results of a study of the correlation of short-term signal variations observed at horizontally and vertically spaced antennas

are given.

Introduction

This report covers a series of transmission loss measurements

made by the National Bureau of Standards at a frequency of 418 Mc over

a 134 -mile path extending from Cedar Rapids, Iowa to Quincy, Illinois.

The principal purpose of the measurements was to study: (1) the hourly,
-2-

diurnal and seasonal variations in basic transmission loss* experienced

in transmissions made well beyond the radio horizon, (2) the corresponding long-term variability of height -gain, (3) the comparison of

measured transmission loss and height -gain with predicted values and

(4) the correlation of instantaneous signal levels measured at vertically

and horizontally spaced antennas.

The experiment covered a period of approximately a year and a

half from January, 1952 to May, 1953. The transmitter was located at

Cedar R.apids and was operated by the Collins Radio Company under

contract with NBS. The receiving and recording equipment were installed and operated by NBS. Space on a 750 -foot tower was obtained

through the cooperation of WTAD-FM in Quincy, and the receiving antennas

were mounted on this tower at heights ranging from 30 to 665 feet above

ground.

* In this experiment, the original calibrations of field strength recording equipment in terms of microvolts across the antenna terminals

were converted to units of basic transmission loss. The only exception

to this procedure are the data used in the study of correlation of instantaneous signal levels, which were left in terms of voltage. Basic

transmission loss, denoted by the symbol L^, is defined as the ratio,

in decibels, of the total radiated power to the power that would be available from the receiving antenna if both antennas were isotropic, i. e.,

L, = P - P + G (1) b r a p

where P = total radiated power in dbw

Pa

= power, in dbw, available at the terminals of a loss -free

receiving antenna

G is the path antenna gain in decibels relative to the gain

expected with isotropic antennas at both ends of the

path. Since the path was a relatively short one, we

have approximated Gp

by Gt + Gr

, the sum of the free

space gains, in decibels, of the transmitting and

receiving antennas. Both gains are relative to an

isotropic antenna.
-3-

The equipment was operated for thirteen recording periods, each

of approximately 2 to 3 weeks duration. During each period, continuous

recordings of basic transmission loss were made simultaneously at 3

to 5 different antenna heights. Table II shows a schedule of the recording periods and the antenna heights used during each period. Also

shown are the inclusive dates during which each antenna height was

used, and the total number of hours of data recorded at each height

during a given period.

Description of Propagation Path

Figure 1 shows a profile of the Cedar Rapids - Quincy path. Unfortunately, topographic maps are not available for a large part of the

path, although detailed profiles were obtained for the regions near the

path terminals. These regions are representative of the terrain over

the entire path, however, and there are no significantly prominent

terrain features in the unmapped portion. The profile is drawn with a

radius of 4/3 the actual earth's radius to allow for standard atmospheric

refraction.

To describe a radio transmission path adequately, it is necessary

to know not only the path distance and antenna heights, but also the

elevation of, and distance to, the radio horizon as seen from each

antenna. A parameter which takes all of these path characteristics into

account is the angular distance, 9 ±J , It is defined as the angle (usually

expressed in milliradians) between the horizon rays of the transmitting

and receiving antennas in the great circle plane containing the path.

The horizon rays and corresponding values of 9 for some of the antennas

are shown in Figure 1. Table I. gives the values of 9 for each receiving

antenna height. Throughout this report, the values of 9 used were

computed for an earth's radius equal to 4/3 of its actual radius in order

to allow for standard atmospheric refraction. It should be pointed out

that in some cases, the receiving antenna horizon lies in the unmapped

portion of the path so that 9 can only be approximated. A uniform

elevation of 700 feet for the unmapped terrain was assumed. If this

elevation is changed by ±100 feet, none of the 9 values change by more

than about ±9.5 milliradians.
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Table I

Receiving Antenna Height in Feet

Above Ground in Milliradians

30 20.3

165 19.1

365 17.6

465 16.8

565 16.2

665 15.7

Transmitting antenna height: 39 feet above ground.

Insofar as the long-term median basic transmission losses measured

over paths having angular distances of this order (i. e. greater than

about 10 milliradians) agree quite well with vahies predicted from scatter

theory ±J , this might be considered to be a tropospheric scatter propagation path. However, analysis of the short-term variations in signal level

reveals that for significant percentages of the time (especially during

the night), mechanisms other than scattering appear to be important. It would seem that this path is in a transitional region between the shorter

paths where diffraction and ducting provide most of the signal power and

longer paths where scattering is the principal contributor.

Description of Transmitting, Receiving and Recording Equipment

The transmitter used was a resnatron providing a continuous wave

output of approximately 20 KW. The output was monitored and the basic

transmission loss data were corrected for any significant variation in

transmitted power. The transmitting antenna was a pyramidal horn

mounted on the roof of a hangar at the Cedar Rapids Municipal Airport.

The height of its axis above local terrain was 39 feet. Its free-space

gain relative to an isotropic antenna, G& was 14. 5 db according to

measurements made by the Collins Radio Company. Horizontal polarization was used throughout the experiment.
-6-

The receiving antennas used in the long-term recordings each consisted of a half-wave dipole mounted in a corner reflector. Measurements of the combined gain of the transmitting horn and one of the receiving corner reflectors yielded a value of 26. 2 db for the total of the

free-space antenna gains, or Gt + Gr

.

The output of the receivers was recorded in two ways. A continuous recording was made with Esterline-Angus graphic ammeters at a

chart speed of 3 inches per hour. Examples of these recordings are

shown in Figure 2. In addition, the output of each receiver was fed

into time totalizing recorders, which indicate on counters the total

length of time that each of ten pre-set levels of receiver input voltage

is exceeded. The totalizer counters were photographed once each hour

by an automatically-actuated 35 mm camera. These totalizer pictures

and the slow-speed chart recordings furnished all of the raw data used

in the analysis described in this report, with the exception of the study

of cross -correlation of signals received simultaneously on spaced

antennas. In the latter case, the data were recorded on Esterline-Angus

charts moving at speeds from 3 to 12 inches per minute.

Data Reduction

The totalizer and slow-speed chart data were analyzed to obtain

hourly cumulative distributions of basic transmission loss, L^. By

taking the difference between the totalizer counter readings appearing

in successive pictures, the percentage of time that Ll was less than

each level during the hour was computed. This information was plotted

on a graph having basic transmission loss as the ordinate and per cent

time as the abscissa. Both propagation theory and previous experiments

indicate that the amplitude of a signal received well beyond the radio

horizon tends to be distributed according to the Rayleigh distribution.

For this reason, the abscissa scale was adjusted so that a Rayleigh

cumulative distribution would be represented by a straight line with a

slope of -1. The plotted points were joined by straight line segments

for purposes of interpolation. From these graphs the levels of L,

exceeded 10, 50 and 90 per cent of each hour were tabulated. The

difference between the 10% and 90% levels is defined as the fading range.

The hourly values of fading range and the 50% level, or hourly median,

are listed in Table III at the end of this report. The asterisks appearing

by some of the numbers indicate that they were obtained by extrapolation

of the hourly distribution curve. For the sake of convenience, the

median value of L.^ is often referred to as Lbm.
-7-

SIMULTANEOUS SLOW SPEED RECORDINGS OF BASIC TRANSMISSION LOSS

AT THREE RECEIVING ANTENNA HEIGHTS

418 Mc Cedar Rapids -Quincy Path

<NBS>

Figure 2
-8-

Quite frequently the ra.nge of variation in Lj-, during an hour was

so small that a distribution could not be obtained from the totalizer

data. This was particularly true during some nights when the signal

became strong and steady for prolonged periods. In these instances,

the slow-speed Esterline -Angus recording was scaled manually to

determine L^j^ and the fading range. These recordings were also

used as a monitor to detect equipment failures or other unusual conditions that might not have been detected in the totalizer data.

Analysis of Lb Data

Figures 3 through 15 show all of the hourly L|_ m values measured

during a given recording period at three antenna heights plotted as a

function of the time of day. In these graphs and in Figure 20, the Lbm

values on the ordinates increase downward so that high signal levels

are plotted near the top of the graph. The dots with arrows represent

medians falling outside the calibrated range of the receiver and should

be read as "greater than" or "less than" the indicated level. The

three heights chosen were 30 feet, 365 feet, and the highest antenna,

either 565 or 665 feet. The line drawn on each graph joins the median

of hourly L^rn values observed at a given hour and serves to indicate

the magnitude of the diurnal variation. The dots representing individual

L|jm values are shown for two reasons. They illustrate the wide range

of variation in Lkm measured from day to day at the same hour. Also

the reader can assess, at least intuitively, the confidence that should be

placed on the diurnal variation curve by counting the dots plotted at a

given hour. For example, the equipment was usually checked and

calibrated between 9 and 10 AM and fewer medians were obtained during

this hour. Consequently, the median of the few Lbm values shown for that

time should not be taken too seriously.

It will be noted that there is little or no diurnal cycle during the

winter months although such a cycle becomes quite pronounced during

the summer, with low Lfoj^ values at night and maximum Lbm during the

afternoon. It should be pointed out that the variations in Lbm measured

at the same hour for 15 or 20 consecutive days are in general larger

than the range of the diurnal trend as shown by the median of hourly LL m

values.

These scatter diagrams also give a rough indication of the heightgain to be realized in raising an antenna from 30 feet to 66 5 feet. (A

detailed study of height-gain measured hour -by-hour will be discussed

later.

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-22-

As noted previously, Table III lists the fading range for each hour

of recording. Although these ranges show considerable variance, they

consistently cluster in the vicinity of the 13.4 db fading range that would

be obtained from a pure Rayleigh distributed signal. This tendency is

apparent regardless of tune of day, although the variance of fading

ranges measured at a given hour is somewhat larger during the night

than during the day, particularly in the summer months. The lack of a

diurnal cycle in fading range and the tendency to approximate the Rayleigh

distribution fading range should not, however, be interpreted as evidence

that the signals recorded at Quincy were the result of scattering regardless of the time of day. It can be seen in the data samples shown in

Figure 2 that the character of short-term variations in signal level

changes considerably in going from afternoon to night. The slow, deep

fading occurring at night often covered a range equal to, or greater than,

the Rayleigh fading range.

One of the principal objectives of the Quincy experiment was to

study the effects of antenna height on the signals received far below the

radio horizon. During most of the recording periods simultaneous

transmission loss recordings were made at three or more receiving

antenna heights. We define the height -gain associated with two antenna

heights to be the difference between hourly median L^ values measured

simultaneously at these two heights. A positive height-gain indicates a

reduction in Ll with increasing height. The hourly height-gain values

obtained for each pair of antennas during each recording period were

plotted versus time of day. It was found that although the median of

hourly L^jn values tended to decrease slowly with height, there was a

large variance in the height -gain observed on any one pair of antennas

at a given hour of the day during a given recording period. To illustrate

this variance and the small diurnal trend noticeable during some periods,

height-gain scatter diagrams for the greatest height separations are

shown in Figures 16 through 18.

The medians of the hourly height -gain values observed on each

pair of antennas during each recording period are shown in Figure 19 s where they are plotted as a function of the ratio of antenna heights.

The seasonal or month-to-month variations in Lbm, fading range

and height-gain are shown in Figures 20, 21 and 22, respectively. In

each case the points represent the median of all hourly values of the

variable measured during the recording period at the antenna heights
-23-

25

-10

M 2 4

DIFFERENCE BETWEEN L bm AT 30 FEET AND

L bm AT INDICATED HEIGHT VERSUS TIME OF DAY

418 Mc CEDAR RAPIDS- QUINCY PATH

II 1 1! 1 1 1 1 1

• January 14 to February 2 , 1952 February 18 to March 2, 1952

1 . 565 Ft.

] 565 Ft.

y\

v .

1 1 1 I 1 1 1 1 1 1 1 1 II 1 1 ! 1 1 1 1 1 1) March 17 to March 29,1952 | May 12 to May 24, 1952 II 1 1 ^

|_565 Ft.

| 665 Ft.

r\

\

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-5

10 N 2 4

Hour

10 M M 2 4 6 10 N 2 4 6

Hour

10 M

Figure 16
-24-

DIFFERENCE BETWEEN l_ bm AT 30 FEET AND

L bm AT 665 FEET VERSUS TIME OF DAY

418 Mc CEDAR RAPIDS-QUINCY PATH

-10

June 9 to June 30, I952|

\

\\

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: ^ *t~

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JAugust 12 to August 23, 1952

r

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|September 15 to September 27, I952|

20

15

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5

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jOctober 20 to November 2, 1952

1

/

:

-10

-15

-20

30

25

M 2 4 10 N 2 4

Hour

10 M M 2 4 10 N 2 4 6

Hour

10 M

Figure 17
-25-

DIFFERENCE BETWEEN L bm AT 30 FEET AND

L bm AT 665 FEET VERSUS TIME OF DAY

418 Mc CEDAR RAPIDS-QUINCY PATH

January 20 to January 31, 1953

' I.

M 2 4

February 23 to March 7,1953

V vy

/

35

30

25

April 13 to April 25,1953

'

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r

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|Mayll to May 23,1953 |

-5

10 N 2 4 6

Hour

10 M M 2 4 6

Figure 18

10 N 2 4 6 8 10 M

Hour
-26-

MEDIAN HEIGHT- GAIN vs RATIO OF ANTENNA HEIGHTS

(Ordinate is Median of Hourly Differences of l_ bm Measured at Two Heights)

418 Mc Cedar Rapids- Quincy Path All Periods 1952-1953

a>oQ

-6

:

x x X

X

Height of Lower Antenna Nov-Apr May-Oct

O 565 Feet • 565 Feet 465 Feet D 365 Feet 365 Feet A 165 Feet A 165 Feet X 30 Feet * 30 Feet *

° A

* X

*

X

X

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4 5 6 7 8 9 10

Ratio of Antenna Heights

Figure 19

20 40 50
-27-

MEDIAN BASIC TRANSMISSION LOSS VERSUS TIME OF YEAR

418 Mc Cedar Rapids -Quincy Path

155

CD -Oo

CD Q

165

170

175

185

190

195

200

205

210

Receiving Antenna Heights

665 Feet • 565 Feet o 365 Feet A 165 Feet X 30 Feet

A

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JAN. FEB. MAR. APR. MAY JUNE JULY AUG. SEPT. OCT. NOV. DEC. JAN. FEB. MAR. APR. MAY JUNE

1952 1953

Figure 20
-28-

MEDIAN FADING RANGE VS TIME OF YEAR

418 Mc Cedar Rapids- Quincy Path

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c\

20 Receiving Antenna Heights

665 Feet A • 565 Feet A 465 Feet

19

1 o 365 Feet A 165 Feet

1 X 30 Feet

18

,

IT

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JAN. FEB. MAR. APR. MAY JUNE JULY AUG. SEPT. OCT. NOV. DEC. JAN. FEB. MAR. APR. MAY JUNE

1952 1953

Figure 21
-29-

MEDIAN HEIGHT-GAIN RATIO VS TIME OF YEAR

(Ordinate is Median of Hourly Differences of

l_ bm at Indicated Height and l_ bm at 30 Feet)

418 Mc Cedar Rapids- Quincy Path

O

Q

-I

-2

-3

-4

Receiving Antenna Heights

665 Feet • 565 Feet A 465 Feet o 365 Feet A 165 Feet

8 1 l

a

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JAN. FEB. MAR. APR. MAY JUNE JULY AUG. SEPT. OCT. NOV. DEC. JAN. FEB. MAR. APR. MAY JUNE

1952 1953

Figure 22
-30-

indicated. The usual reduction in median transmission loss during the

summer is clearly evident in Figure 20. This graph also demonstrates

the danger of concluding that data collected in subsequent years would

follow this pattern. In particular, it should be noted that the levels

measured in the spring of 1953 are quite different from those obtained

in the spring of 1952. Figure 22 shows a tendency toward maximum

height-gain during the winter months, while Figure 21 gives little or no indication of any variation in fading range with time of year.

Comparison of Observed and Predicted Basic Transmission Loss

2/ Rice, Longley and Norton— have developed a method of predicting

the cumulative distribution of basic transmission loss at frequencies

above 10 megacycles per second for wide ranges of path lengths, antenna

heights, terrain configurations and atmospheric refractive index gradients (the latter as deduced from observed surface values of refractivity).

Using this method, the predicted cumulative distributions of basic transmission loss were determined for the 30, 165, 365, 565 and 665-foot

receiving antenna heights for time block two (November through April,

from noon to 6 PM) and for the 30, 365 and 665-foot antenna heights for

time block five (May through October from noon to 6 PM). These

antenna, heights were chosen because of the relatively large amount of

observed data available for comparison. The surface refractivity data

used in this determination were the average of values for these time

blocks during 1952 and 1953 obtained at the U. S. Weather Bureau

stations at Des Moines, Iowa, and Joliet, Illinois. These stations lie

west and east of the propagation path, respectively. However, the data

obtained at these two points are so well correlated that we may reasonably

assume that they closely approximate conditions on the path.

The predicted distributions are shown in Figure 23 along with the

corresponding distributions of observed values. The latter include all

hourly medians observed during the time block in both 1952 and 1953.

Figure 24 provides a comparison of the observed height-gain data shown

in Figure 19 with the corresponding predicted values. A predicted value

is shown at each ratio of antenna heights; the observed value for each ratio

is simply the mean of the values shown in Figure 19. On the assumption

that the observed decibel values of height- gain are normally distributed,

there is a 68% probability that the true mean lies within the "wings" on

the observed points. The fact that the predicted values are all above
-31-

170

OBSERVED AND PREDICTED CUMULATIVE DISTRIBUTIONS

OF HOURLY MEDIAN BASIC TRANSMISSION LOSS

418 Mc Cedar Rapids -Quincy Path

TIME BLOCK 2, NOV. -APR., NOON -6PM.

160

170

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TIME BLOCK 5, MAY -OCT., NOON -6 P.M.

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Figure 23
-32-

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the measured values (and, indeed, lie outside the wings in most cases)

indicates a consistent bias in the prediction which is larger at the higher

ratios, i.e., those involving the 30-foot antennas.

Space Correlation

In addition to the long-term recordings of basic transmission loss,

several special recordings were made to study the correlation of shortterm variations in signal level occurring simultaneously on spaced

antennas. These recordings were made at chart speeds ranging from 3

to 12 inches per minute.

On May 21, 1953, recordings were made of the signal levels

received on a fixed antenna located 31 feet above ground and those

received on a movable antenna. The latter was located in the vertical

plane containing both the fixed antenna and the transmitting antenna.

Its height could be varied from 33 to 69 feet above ground. The recordings

were made for approximately 2 minutes at each of 16 spacings, ranging

from 0.85 to 16 wavelengths. The period covered by the vertical correlation run was from 1:43 to 3:19 PM, and was made as short as possible

in order to minimize the probability that the propagation medium would

undergo a long-term change during that period.

Later in the afternoon of May 21a similar run was made, this

time varying the horizontal separations of the two antennas in a line

normal to the propagation path. Both antennas were 3 feet above ground.

Recordings were made for from 2 to 4 minutes at each of 10 spacings

ranging from 0.7 to 17 wavelengths. The period covered by this run

was from 4:33 to 6:22 PM. On the next afternoon, the horizontal run was

repeated from 2:05 to 3:25 PM, this time with 2 to 5 minute recordings

at each of 9 spacings from 1.2 to 17 wavelengths.

In analyzing the data from both the horizontal and vertical runs,

instantaneous values of the recorded voltages were read at 2-second

intervals and a coefficient of correlation computed for each spacing . These are shown plotted as a function of antenna spacing in Figure 25.

It should be noted that the curves for the horizontal runs differ

widely even though they were made on successive afternoons. The

signal fading rate was much lower on the 21st and the correlation distance
-34-

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-35-

SAMPLE OF RECORDINGS MADE FOR CORRELATION STUDY

418 Mc Cedar Rapids -Quincy Path

Chart Speed : 12 in./min.

May 21, 1953

1405 May 22, 1953

Figure 26

1406
-36-

correspondingly greater, as evidenced by the fact that even at 17 wavelengths, the correlation remained greater than 0„ 8. The recording

samples shown in Figure 26 illustrate the difference in fading characteristics observed on the two days. The correlation on vertically spaced

antennas dropped to something less than 0.4 at 16 wavelengths. This

is in good agreement with similar measurements made at 1046 Mc over

the 226-mile path from Cheyenne Mountain, Colorado , to Garden City,

Kansas. —/

Several times during the course of the regular transmission loss

recordings, the chart speeds were increased for short periods so that

the short-term fading characteristics could be examined. This was done

simultaneously on all the antenna heights being used at the time, so that

the recordings could be checked for correlations. A large number of

correlation coefficients were computed for samples ranging in length

from one to three minutes, and for all spacings from 100 feet to 635

feet. (42 to 270 wavelengths) Although these correlations ranged from

+ 0.6 to - 0.7, they showed no dependence on spacing, time of day, or

time of year. The mean of all the coefficients was + 0. 04 and the median,

+ 0.06. Consequently, we may conclude that, as expected, the variations in instantaneous signal levels observed at two antennas separated

vertically by about 40 wavelengths were independent.

A cknowledgments

The authors wish to acknowledge the work of J. W. Herbstreit

who performed the spaced- antenna correlation experiments, assisted

by L. J. Maloney. The surface refractivity data were supplied by

B. R. Bean. Much of the reduction of the radio data was done by

F. L. Anderson. P. L. Rice offered many helpful suggestions concerning the analysis.
-37-

References

1. K. A. Norton, P. L. Rice and L. E. Vogler, "The use of angular

distance in estimating transmission loss and fading range for

propagation through a turbulent atmosphere over irregular terrain, " Proc. IRE, 43, 10, 1488 (1955).

2. P. L. Rice, A. G. Longley and K. A. Norton, "Prediction of the

cumulative distribution with time of ground wave and tropospheric

wave transmission loss, " to be published as a Technical Note in

1959.

3. A. F. Barghausen, M. T. Decker and L. J. Maloney, "Measurements of correlation, height gain, and path antenna gain at 1046

megacycles on spaced antennas far beyond the radio horizon, " Convention Record, Inst. Rad. Eng .

, Pt. 1, 3, 78(1955).
-38-

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