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NTIA Report 86-190 Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHz on a 1-km Path R. H. Espeland E. J. Violette K. C. Allen u.s. DEPARTMENT OF COMMERCE Malcolm Baldrige, Secretary Rodney L. Joyce, Acting Assistant Secretary for Communications and Information February 1986

Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

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Page 1: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

NTIA Report 86-190

Rain Attenuation Measurements at28.8,57.6, and 96.1 GHz on a 1-km Path

R. H. EspelandE. J. Violette

K. C. Allen

u.s. DEPARTMENT OF COMMERCEMalcolm Baldrige, Secretary

Rodney L. Joyce, Acting Assistant Secretaryfor Communications and Information

February 1986

Page 2: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*
Page 3: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

TABLE OF CONTENTS

LIST OF FIGURESABSTRACT1. INTRODUCTION2. EQUIPMENT DESCRIPTION3. TEST SITE4. RAIN CHARACTERISTICS5. ATTENUATION CHARACTERISTICS6. SUMMARY7. ACKNOWLEDGMENT8. REFERENCES

; ; i

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3335

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Page 4: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*
Page 5: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

LIST.OF FIGURES

FIGURE

1 A functional diagram of the 9.6-, 28.8-, and 57~6-GHztransmitting terminal. .

2 A block diagram of the 96.1-GHz transmitter.

3 A functional diagram of the 9.6-, 28.8-, and 57.6-GHzreceiving terminal.

4 A block diagram of the 96.1-GHz receiver rf stageand local oscillator source generator.

5 A diagram of the data acquisition, recording, andcontrol system.

6 A map of the northwest United States.

7 A topographical map of the Gasquet, CA, site.

8 Precipitation records from the Gasquet, CA, area.

9 Photographs of the millimeter-wave system terminalsand path at Gasquet, CA.

10 Plots of rain-rate data recorded at the Gasquet, CA,field site.

PAGE

3

4

6

8

10

11

13

14

15

17

11 A cumulative distribution of the rain rate recorded atGasquet, CA, in January, Febr~ary, and March of 1985.

12

13

14

15

16

17

A copy of all the channel data recorded on March 23, 1985.

A copy of all the channel data recorded on March 24, 1985.

A copy of all the channel data recorded on February 24, 1985.

Partial records from the data recorded on February 7, 1985.

Partial records from the data recorded on Februa·ry,· 7, 1985 ..

Partial records from the data recorded on February 11, 1985.

18

22

23

24

25

26

27

"8 Records of received signals from the 28.8-, 57.6-, and 96.1-GHzVV channels and rain rate on February 8, 1985.

19· Records of received signals from the 28.8-,57.6-, and 96.1-GHzVV channels and rain rate on March 23, 1985.

20 Records of received signals from the 28.8-, 57.6-, and 96.1-GHzVV channels and rain rate on March 24, 1985.

v

28

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FIGURE

21 Cumulative distributions of the 28.8-, 57.6-, and 96.1-GHzsignal attenuation of received signals during rain atGasquet, CA, in January, February, and March 1985.

22 Signal attenuation versus rain rate as a function of frequencyfrom a cumulative distribution analysis of 'a '1S-hour sampleof rain data at Gasquet~ CA.

23 A comparison of measured and predicted specific attenuation.

vi

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31

32

34

Page 7: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

RAIN ATTENUATION MEASUREMENTS AT28.8, 57.6, AND 96.1 GHz ON A l-km PATH

R. H. Espeland, E. J. Violette, and K. C. A1len*

An experimental millimeter-wave propagation link was installedon a 1-km path in the northern California area (Gasquet) to comparerain rate and attenuation at 28.8, 57.6, and 96.1 GHz. During themonitoring period (January 26 through April 14), rain occurred on27 days with an accumulation of 514 mm (20.25 in.). For periodswhen the rain rate exceeded 5 mm/h, both VV (vertical polarizationat the transmitter and vertical polarization at tha receiver) andVH (vertical polarization at the transmitter and horizontal polar­ization at the receiver) signals were reco~ded. Maximum rain ratesexceeded 50 mm/h and maximum attenuations of 4, 10, and 17 dB wereobserved on the 28.8, 57.6, and 96.1 GHz channels, respectively.

Key words: attenuation; measurement; millimeter-wave; multifrequency;rain rates

1. INTRODUCTIONWith the increasing importance of millimeter-wave systems to telecommunications

applications, the Institute for Telecommunication Sciences (ITS) has maintained anexperimental program for the development and validation of models for predictingmillimeter-wave system performance. In fiscal years 1983 and 1984, ITS measuredtelecommunication systems parameters in the frequency range 30 to 100 GHz underrealistic and varying conditions on a 27-kmterrestrial link near Boulder,Colorado (Espeland, et al, 1984).

In fiscal year 1985, the millimeter-wave experimental program was expandedto develop and begin initial operation of a millimeter-wave atmospheric probethat will provide data for the evaluation of these telecommunication propagationmodels in varying climatic environments. The millimeter-wave probe is transportablein order to obtain measurements in varying meteorological and topographicalconditions.

Because rain poses the greatest threat to link reliability at millimeter-wavefrequencies, the first priority in the FY85 plan was to characterize the effects ofrain on link performance. Thus the intent of this segment of the program was to,utilize the atmospheric probe in a region of high annual rainfall to evaluate the

, probe as an experimental link and to collect rainfall data that could be used forfuture model and 1ink analyzes and for compar}son of rafnfall. and propagationcharacteristics in various climates.

*The authors are with the Institute for Telecommunication Sciences, NationalTelecommunications and Information Administration, U. S. Department of Commerce,325 Broadway, Boulder, Colorado 80303.

Page 8: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

Parameters measured and presented in this report are the received signal levelsat 9.6,28.8, 57.6, and 96.1 GHz and the simultaneously recorded rain rate. At rainrates above 5 mm/h, cross polarization data were also recorded at 28.8, 57.6, and96.1 GHz. These measurements were made in January~ February, March, and April of1985 at Gasquet, California. The recieved signals were coherently detected by phaselocking a local reference oscillator at the receiver to the 9.6 GHz signal. Theattenuation by rain at 9.6 GHz was small because of the short path and was not usedin the analysis.

This report describes the millimeter wave instrumentation used in the experi­ment, the test site, the rain characteristics, and the ~ttenuation characteristics.Subsequent reports will provide additional analysis of the ~ata and compare themeasured results with the predictions model.

A second set of rain attenuation measurements similiar to those recorded atGasquet, were made at Boulder, Colorado.' These new data are not included in thisreport, but will be a part of the analysis of the experimental measurements in thenext report.

2. EQUIPMENT DESCRIPTIONThe millimeter-wave measurements link operates at 9.6,28.8, 57.6, and 96.1 GHz.

At both the transmitting and receiving terminals, the 9.6, 28.8, and 57.6 GHz unitsare contained in a common enclosure and the 96.1 GHz units are seperate. A functionaldiagram of the 9.6, 28.8, and 57.6 GHz segment of the transmitting terminal ;s shownin Figure 1. All radio frequencies (rf) are derived from a 100-MHz temperature­compensated crystal oscillator (TCXO). A phased-locked, cavity-tuned (X96) multiplieris used to feed 20 mW at 9.6 GHz to an 18-in (45.72 cm) parabolic reflector antenna.An identical (X96) multiplier drives a varactor tripler that injection locks an 85 mWGunnsource at 28.8 GHz through a high isolation ferrite circulator. The Gunn power;s fed to a directional coupler providing 20 mW to a 24-in (60.96 cm) parabolic­reflector antenna and the remaining power drives a varactor doubler. The output ofthe doubler provides 12 mW of power at 57.6 GHz to a 12-in (30.48 em) parabolic­reflector antenna. This segment of the transmitter is mounted in a temperature­controlled enclosure that is held at 45°C ~ loe to reduce power variation to lessthan 0.5 dB in the worst case.

A block diagram for the 96.1 GHz transmitter is shown in Figure 2. A phase­locked IMPATT oscillator provides 28 mW of power to a linearly-polarized 12-in(30.48 mm) parabolic-reflector antenna. The output of the TeXO shown in Figure 1is used as the reference source for this transmitter and is multiplied to 96 GHz

2

Page 9: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

12" Antenna

28.8GHz

24" Antenna

57.6 GHz

18" Antenna

P. s.8Y2A

III'

IIIIII

20mW I

6dB

TEMPCONTR. •

10mW

r--~------- ~---~--~2-l

mW I

Transmitteri/ Enclosure

9.6GHz

I2omWJ,,,

~I TUNERII IL_~_~ J

Figure 1. A functional diagram of the 9.6-, 28.8-, and57.6-GHz transmitting terminal.

3

Page 10: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

~

DC bias and error signal

Phase lock electronicsr------------------------,i

PLL

DCregulator

Trigger

-~-- -..-,--.----------------.-----..-

IMPATToscillator

Xl0

12 antenna

96.1 6Hz

Mixer

-Harmonicgenerator

.------------Reference source for: I II I

all signals in the; Te XO Idiagnostic probe I 100 MHz I •

I

I .'-----' IL.. .J

Powerdivider

PhaseX 96 I locked

multiplier

Figure 2. A block diagram of the 96.l-GHz transmitter.

Page 11: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

by successive phase-locked stages for comparison to the output of the IMPATT oscil­lators through an rf b~lanced mixer. The phase-lock electronics generate an errorsignal that is added to the direct current (dc) bias voltage supplied to the IMPATT.If the IMPATT is not in a locked state, a voltage sweep is triggered and added to thedc bias supply until the IMPATT frequency is the same as the mUltiplied TCXO signalat which time the error signal takes control to hold the IMPATT in. lock.

The following table summarizes the power output, antenna gai.n, and antennabeamwidth parameters at the transmitter terminal.

FREQUENCY OUTPUT ANTENNA GAIN BEAMWIDTH(to antenna) size

9.6 GHz 20 mW 18-in 31 dB 5°28.8 GHz 20 mW 24-in 43.1 dB 1.25°57.6 GHz 12 mW 12-1n 43.1 dB 1.25°96.1 GHz 28 mW 12-in 47.5 dB 0.75°

Manual azimuthal and elevation adjustments are provided at the antenna andenclosure mounts for accurate alignment of the antennas. The transmitter terminalsrequire only a housing or stand for mounting and l20-Vac power with a minimumcurrent capacity of 3 A.

A functional diagram of the 9.6, ,28.8, and 57.6 GHz segment of the receivingterminal is shown in Figure 3. The, incoming signals are received with parabolic­reflective antennas. At the 9.6 GHz frequency, the antenna is coupled directly toa low-noise down converter. At 28.8 and 57.6 GHz, the received signals are fedthrough orthomodetransducers and waveguide mechanical switches and then to low­noise down converters. The transducers and switches allow for selection ofeither the vertically or horizontally polarized component of' the incoming signals.The switching action is controlled by the data acquisition computer. The computeris programmed to drive the switches when the rain rates exceed a specified threshold,recording both the vertical and horizontal components. Below the threshold, only thevertical component is recorded.

The receiver noise figure is determined by the input down converter. At 9.6 GHz,the double-balanced mixer produces a 7.5 dB double sideband noise figure. The28.8 and 57.6 GHz input mixers are of the stripline-waveguide-junction balancedtype with double sideband noise figures of 5.5 and 6.0 dB, respectively. All localoscillator (La) signals are generated from a voltage-controlled crystal oscillator(VCXO) that is phase-locked to the 9.6 GHz received signal with a 5 MHz referenceoffset frequency. The multipl iers for thevoltage-co'ntrolled ·lOO MHz refe,rence

5

Page 12: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

30 MHz

15 MHz

DIGITAL AND .... 'STRIP CHART

RECORDERS

Crystal Filter

Crystal Filter

Crystal Filter

> I 01 ~

~ -0- ~

") ,D· ~

IIIIIIII

Receiver~Enclosure

Low NoisePreamplier

Low NoisePreomplier

70 mW

Low Noise IL ~reompli~_-.I

r-------;-------lI

Switch

SwitchOrthmodeTransducer

Orthmode

Transducer

18" Reflector

28.8GHz

36" Reflector

57.6GHz

24" Reflector

~

9.6GHz

Figure 3. A functional diagram of the 9.6-, "28.8-, and 57.6-GHz receiving terminal.

Page 13: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

(~IF/multiplying factor), to derive the LO injection signals, are identical to thescheme used for the transmitter sources. The long-term (weeks) gain stability foreach reciver is better than + 0.1 dB.

The three intermediate frequencies (IF) of 5, 15, and 30 MHz are down convertedfrom 9.6, 28.8, and 57.6 GHz, respectively; fed to low-noise preamplifiers throughnarrow-band crystal filters, and then fed to ac-to-dc log converters. The IF signalsare converted to dc levels that are logarithmically related to the rfsignal ampli­tude. The dc levels are scanned and read with a d'igital voltmeter. The dynamicrange of the log-ampl ifiers (log-conve'rters) is 80 dB with 1inearity of :,0.5 dB.

A block diagram of the 96.1 GHz receiving terminal is shown in Figure 4.The incoming signal is received with a scalar horn lens antenna and fed through theorthomode transducer and the waveguide mechanical switch to the down converter(balanced mixer). A Gunn oscillator is used as the LO source in place of anIMPATT because of superior low-noise performance resulting in a better receivernoise figure.

The received signals are coherently detected as a result of phase locking theVCXO frequency to the 9.6 GHz .IF signal. As in the transmitter, all timing, andthe IF and rf sources are derived from a single reference; a VCXO that is phaselocked to the received signal. Phase-locking of the Gunn sources uses electronicssimilar to that used in the transmitter to lock the IMPATT. The 96.l-GHz channelis locked at an IF of 250 MHz, a number that results from the phase-lock electronicsset to provide twice the 100-MHz reference signal plus the IF of the 9.6 GHz referencechannel (5 MHz) multiplied by the ratio of 96.1/9.6. The IF bandpass filter for the96.1 GHz channel is on the order of 0.4% of the center frequency (250 MHz).

The following table summarizes the antenna gain, antenna beamwidth, receivernoise figure, and receiver sensitivity for all channels at the receiver.

ANTENNA RECEIVERFREQUENCY SIZE GAIN BEAMWIDTH NOISE FIGURE SENSITIVITY

9.6 GHz l8-in 27.5 dB 7.5 0 7.5 dB -130 dBm28.8 GHz 36-in 46.6 dB 0.84° 5.5 dB -130 dBm57.6 GHz 24-in 49.1 dB 0.63° 6.0 dB -130 dBm96.1 GHz *12-in 49.3 dB 0.75° 6.5 dB -108 dBm

*This antenna is a scalar horn lens with approximately 90%efficiency, thus the gain is nearly 2 dB greater than theparabolic antenna used at the transmitter.

7

Page 14: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

Orthmodetransducer Switch

95.5 to 96.0 GHz

100 to 600 MHz

ReferenceoscillatorPll

VCXO100 MHz

DC bias and error signal

III

i Detected IF signal tI from the transmitterL _

Reference source forall receiver functions

;-:------~--:----~--~-----~-

I

...--Phase lock electronic--------------------....sin 8

Powerdivider

GunnOscillator

Phaselocked I X96

multiplier

Harmonicgenerator I X10

12"

Scalar hornlens antenna

OJ

Fi gure 4. A block diagram of the 96.l-GHz receiver rf stage andlocal oscillator source generator.

Page 15: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

As with the transmitting terminal. manual azimuthal and elevation adjustmentsare also provided at the receiving terminal. The complete receiver electronics andantenna package is housed in a rain-proof enclosure that is attached to the mobilevan. The mobile van thus provides a platform for the receiving terminal and housingfor the IF electronics, and data acquisition and recording system.

A desk-top computer is utilized for system control and data acquisition anda disk drive is used for data storage. The drawing in Figure 5 is a diagram of thedata acquisition, data recording, and control system. The log-converted signals forthe 9.6, 28.8, 57.6~ and 96.1 GHz channels and the de signals corresponding totemperature and rain rate are fed to the channel scanner. These values are readat 6-sec intervals and stored as two sample (12 sec) averages in the computermemory. At the end of each hour, these data are recorded on disk. The monitorscreen of the computer, at the operator1s option, displays either each line of dataas sampled or a 24-h graphic display of the data. At the end of each day, acopy of the file number, start and stop time for each file, the number of samples,and the maximum recorded rain rate in the file is printed and a copy of the graphicsfor the day is also printed.

The normal operating mode is with the transm-itter antenna set to transmit withvertical polarization and the receiving antenna set to receive the vertical compo­net of the incoming signal (VV mode). The waveguide switch control segment of thecomputer program contains a preset rain-rate level. When this level is exceeded,the computer activates the waveguide switches and both the vertical and horizontal(VH mode) components of the incoming signals are sampled. The 9.6 GHz channelis not equipped with a waveguide switch. When the rain-rate drops below the pre­set level, the switching action stops and again only the VV components are sampled.

3. TEST SITEThe millimeter-wave probe van was made transportable in order to obtain

realistic estimates of the millimeter wave telecommunication system parameters invarying meteorological and topographical conditions. The first site chosen forrain attenuation measurements was Gasquet, CA. Factors considered in selecting thissite were annual and seasonal rainfall, availability of a clear path (at least 1 kmin length) and the availability of local personnel to help with the monitoring.

Gasquet, CA, is in a narrow valley along the Smith River at a location approxi­mately 12 km from the Pacific Ocean and 10 km from the California(Oregon border. Itis geographically situated in the Pacific Northwest coastal region as indicated inFigure 6. A topographical map of the site and suY~rounding area is shown in

9

Page 16: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

---I

o

9.6 GHz (W)

DISK

28.8 GHz (WjVH) CHANNEL

COMPUTERDRIVE

DIGITALSCANNER57.6 GHz (WjVH)VOLTMETER

96.1 GHz (WjVH)

TEMPERATURE

RAIN RATE

--------,r--- I28.8 GHz

MILLIMETERI ANTENNA57.6 GHz

WAVEI ENCLOSURE I

96.1 GHzSWITCH

I II

DRIVEI

IIII

I II IL -..I

Figure 5. A diagram of the data acquisition, recording and control system.

Page 17: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

..\\\

Fi gure 6.

cA

"" ,-, -, .

A map of the northwest United States.

11

N

NI

Page 18: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

Figure 7. The transmitter was set in a clearing off the edge of the Ward Fieldrunway and the receiver van was located in the parking lot of the Gasquet firestation. These terminal locations provided a path length of 1003 meters. Theelevation of the air field ;s 390 ft (119 m); however, the surrounding area (within2 km) reaches 2000 ft (610 m).

The long-term average annual rainfall measured at the Gasquet Ranger Station(.5 km from the receiver) is 95 inches (241.3 em), of which approximately 90 inches(228.6 cm) falls in the 8 months from October through May. The precipitation recordsin Figure 8 show the annual average by month from JUly through June and the precipi­tation record from July, 1984, through April 15, 1985.

The photographs in Figure 9 are of the transmitting and receiving terminalsand the test path at Gasquet. CA. The transmitter encloSures and antennas shown inFigure 9A are positioned on a 15-ft (4.57 m) scaffold, which provides groundclearance between the transmitting and receiving terminals. The respective antennasfor the 9.6, 28.8, 57.6 and 96.1 GHz transmitters are indicated in the picture.Figure 98 shows the receiving van and antenna enclosure. The respective receivingantennas are labeled also. After the terminals were positioned and properlysecured, each antenna was carefully aligned for maximum received signal level.The photograph in Figure 9C was taken from the top of the transmitter scaffold andshows the receiver location in the center (indicated by the arrow). The photographin Figure 90 was taken from in front of the receiver van and shows the transmitterterminal location near the center (also indicated by an arrow).

4. RAIN CHARACTERISTICSDuring the aD-day monitoring period that included the last 7 days of January,

all of February and March and the first 14 days of April in 1985, the measuredrainfall was 20.25 inches (51.43 cm). The data in Table 1 show the weekly distributionof the rainfall measured during the monitoring period.

The capacitive bridge rain-rate gauge was located at the receiving terminal onthe propagation path. The rain rate and the received signal levels (RSL) wererecorded at 12-sec intervals. The data in Figure 10 are examples of recorded rainevents that represent some of the higher and more sustained rain rates. Additionalexamples displayed with the simultaneous recordings of the RSL are shown in the

next section.The curve in Figure 11 shows the cumulative distribution of the measured rain

rate based on 115 h of data selected from a total of 221 h of rain during the aD-daymonitoring period at Gasquet. During the sample period (115 h), 290 mm (11.4 in) of

12

Page 19: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

SCALE 1:24000~,-----,= :::::E===f=Ei55iia::::=:::e:::=a::=:::l0E55E~~====~============.:::~=====1 MILE

1000 2000 3000 4000 ~O 6000 7000 FEETE '::::1

1 ~ 0 1 KILOME fERE+3 E*3:::EH -,==e===' eee- ==:

CONTOUR INTERVAL 50 FEET

DATUM IS MEAN SEA LEVEL

I'

Fi gure 7. A topographical map of the Gasquet, CA site.

13

Page 20: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

40.-.----------------------------------------,.

PRE CI P IT ATION R~C·0 RD GASQUET AR EA

30

Z0-I-Ill(I--D.

o 20w

~~

0-

u.0

(/)W::I:o 10Z

Long-termaverage

~... %-....../-/" /"

July, 1984thru ~une, 1985

*Accumulation throughApri 1 15, 1985 •

JUL AUG SEP OCT NOV DEC JAN FEB MAR APR MAY JUN

Figure 8. Precipitation records from the Gasquet, CA area.

Page 21: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

(,;"A B

c 0

Figure "9. Photographs of the Hillimeter-wave systemterminals and path at Gasquet, CA.

Page 22: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

ble 1. Accumulated Ra;,n at the Gasquet Ranger Stati,on (1/22-4/15/85)

WEEK OF (1985)

1/22 -- 1/29

1/29 -- 2/5

2/5 -- 2/12

2/12 -- 2/.19

2/19 -- 2/26

2/26 -- 3/5

3/5 -- 3/12

3/12 -- 3/19

3/19 -- 3/26

3/26 -- 4/1

4/1 --4/8

4/8 --4/15

TOTAL

MEASURED RAINFALL*(rom) (INCHES)

14.0 0.55

16.5 0.65

190.5 7.50

5.1 0.20

53.3 2.10

20.3 0.80

139.7 5.50

67.3 2.65

7.6 0.30

514.3 20.25

*The tipping bucket gauge at the ranger station measured the accumu-lative rain,in inches.

16

Page 23: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

7 Feb 19UG rrl~1I~ lUOU-iHOU

48

36

24

o 10 20 30 40 50 0 10 20 30 40 50

1 Feb 1UB5 TIME 1100-1300

48

36

24

12

o 1() 20 au .. 0 {)O 0 J 0 20 30 40 f)()

48

36

24

23 Mar 19B5 TI~tE 1900-2100-eo -----......---.--......

o J0 20 30 40 50 0 10 20 30 40 flO

Figure 10. Plots of rain-rate data recorded at theGasquet, CA fi e'l d s; te.

17

Page 24: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

70 I I I I I I I I I I I I 1

601 I I I I I I I I 1 I I I

50 I I Icumulative distribution

of rain date

.69

-I-

-----~..............•oI ---~~---r----I I I I I I I I I I100 10 1 .1 .01

Percent of Time Ordinate is Exceeded690 69 6.9

TIME (min)6900

40/

//

301 I I I I I I I Rainl~t;l/1 II

20I I I I I I L"t//j I I I I.,.",,-~

10

...--....'-..c

'"EE~

Q)+-'

--a co(X) 0:::

c::::co

0:::

Figure 11. A cumulative distribution of the rain rate recorded atGasquet, CA in January, February, and March of 1985.

Page 25: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

rain fell compared to the total 514 mm (20.25 in) measured for the monitoringperiod. The sample represents approximately 56 pe~rcent of totals for both the rainaccumulation and the hours during which rain fell. The basis for selecting thisparticular sampling was that during these hours, all channels of data (rf and rainrate) were recorded and were free, of measurement error. Those segments of the totaldata that were omitted from this analysis were recorded during periods when one ormore channels of data were missing or in error. Factors contributing to theincomplete data sets were power outages at the transmitter or receiver terminals,contamination of the rain-rate gauge (which produced erroneous readings), and thefailure of a waveguide switch (which resulted in an incomplete set of rf data). Thel1S-h sample of rain rate and corresponding RSL data is considered typical of rainevents occurring this time of year at the Gasquet site. The dates, hours, andaccumulated storm rainfall for this sample are shown in Table 2.

The 221 h of rain represent slightly more than 10 percent of the total monitorperiod and the maximum observed rain rate during this period was approximatel,y50 mm/h for the l2-sec samples.

5. ATTENUATION CHARACTERISTICSThe millimeter-wave link was operated continuously at the Gasquet site from

January 25 through April 14, and except for outages t the following data wererecorded:

1• rain rate (mm/h)2. 9.6 GHz VV (dB)

3. 28.8 GHz VV (dB)

4. 28.8 GHz VH (dB)5. 57.6 GHz VV (dB)6. 57.6 GHz VH (dB)

7. 96.1 GHz VV (dB)

8. 96.1 GHz VH (dB)

9. ambient temperature (Oe)

NOTE: VV = vertical transmitter antenna polarization andvertical receiver antenna polarization

VH = vertical transmitter antenna polarization andhorizontal receiver antenna polarization

19

Page 26: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

Table 2. Gasquet Rain Data Bank.(Date, hours and accumulated storm rainfall)

DATE HOUR RAINFALL

Jan 27 1900-2300 0.55 11

Jan 28 0000Feb 1 1100-1600 0.45 11

Feb '6 1700-2300 0.85 11

Feb 7 0000-1900 2.60 11

Feb 8 0900-1300 0.75 11

15001800-2300

Feb 9 0200-0400 0.351100-1400

Feb 11 0400 1.85 11

0700-2300Feb 12 0000 0.20 11

010005000600

Feb 19 1300-1600 0.20 11

Mar 20 1300 0.20 11

1400 .

1800Mar 21 1000 0.10 11

11001300

Mar 23 130'0-'2200 2.00 11

Mar 24 0000-0200 0.50 11

0900-13001700

Mar 26 0600~-1200 0.80 11

Totals 115 11.35 11

20

Page 27: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

One-day samples (24 h) of these data are shown in Figures 12 and 13. An exampleof the same data from a day for which there was no rain is shown in Figure l4. Acomparison of these data shows that the principal signal attenuation is caused byrain on the path. These data are the l2-sec average values as recorded at thefield site. All channels are recorded continuously except the VH RSL, which arerecord~d only when the rain-rate exceeds 5 mm/h.

The data in Figure 15 are recordings for February 7, for the hours from 0000through 2000. This record and the expanded 2-hour segment of the same day inFigure 16 show the strong correlation between VV and VH RSL as a function of rainrate. Cross-polarization isolation for clear air was measured at -22 dB, -22.5 dB,and -27.5 dB, for the 28.8, 57.6, and 96.1 GHz channels, respectively. Closerobservations show that at 57.'6 and 96.1 GHz, the VH channels were attenuatedslightly more than the corresponding VV channels at the higher rain rates. Therecords in Figure 17 show data similar to Figures 15 and 16, except the time periodis between 1100 and 1500 on February 11.

The data in Figures 18, 19, and 20 are the RSL for 28.8, 57.6, and 96.1 GHz(VV) and rain rate from select hours on February 8" March 23, and March 24. Fullscale attenuation for the three channels is 5, 10, and 15 dB, respectively, and theobserved attenuations were coarsely in this ratio. Departures from this ratio andvariations in attenuations as a function of rain rate were also observed. Note thatthe rain-rate measurement was recorded at the receiver terminal; thus, it is a pointsample of the rain rate for a l-km path.

The curves in Figure 21 show cumulative distributions of the attenuation forreceived signals at 28.8, 57.6, and 96.1 GHz during rain for the l15-h selecteddata base used for the cumulative distribution of rain rate shown in Figure 11.These data, of course, represent percentages of time for which an attenuation valueis exceeded during rainy periods and does not include the clear-air time periods.For exampl e, during one percent of the 221 h that it ra,;'ne,d· at Gasquet, duringthe monitor period, the distribution indicates that the attenuation on the 28.8,57.6, and 96.1 GHz VV rf channels exceeded 1.5 dB, 6 dB, and 9 dB respectively.

The curves in Figure 22 show attenuation of the received signals at 28.8, 57.6,and 96.1 GHz as a function of rain rate based on the cumulative distributions.Naturally, in these cumulative distributions the percentage of time that an exceedancelevel (attenuation or rain rate) is exceeded decreases as the level increases, sothat the fraction of the observation data that determines the correspondence betweenexceedance level and percentage of time exceeded decreases. Thus, the cumulativedistribution curves become less significant in a statistical sense for the higher

21

Page 28: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

23 Mar 1985 TIME26

0-2400

o 2 4 6 8 10 12 14 16 18 20 22

Figure 12. A copy of all the channel data recordedon March 23, 1985.

22

Page 29: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

24 Mar 1985 TIME 0-240026

o 2 4 6 8 10 12 1·4 16 18 20 22

Figure 13. A copy of all the channel data recordedon March 24,1985.

2,3

Page 30: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

10 Feb 1985 TIME 0-2400

o 2 4 6 8 10 12 14 16 1B 20 22

Figure 14. A copy of all the channel data recordedon February 10, 1985.

24

Page 31: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

7 Feb 1985 TIME 0-2000

o 2 4 6 8 10 12 14 16 18

Figure 15. Partial records from the datarecorded on Februa ry '7, 1985 II

25

Page 32: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

7 Feb 1985 TIME 1600-1800

2

o 10 20 30 40 50 0 10 20 30 40 50

Figure 16. Partial records from the datarecorded on February 7, 1985.

26

Page 33: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

11 Feb 1985 TIME 1100-1500

o 20 40 0 20 40 0 20 40 0 20 40

Figure 17. Partial records fronl the data recordedon February 11, 1985.

27

Page 34: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

8 Feb 1985 TIME 1200-1400

2

60

o 10 20 30 40 50 0 10 20 30 40 50

Figure 18. Records of received signals from the 28.8-, 57.6-, and96.1-GHz VV Channels and rain r~te on February 8, 1985.

28

Page 35: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

23 Mar 1985 TIME 1900-2100

60

o 10 20 30 40 50 0 10' 20 30 40 50

Figure 19. Records of received signals from the 28.8-. 57.6-~

and 96.l-GHz VV Channels and rain rate on March 23, 1985.

29

Page 36: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

24 Mar 1985 TIME 100- 300

2

60

o 10 20 30 40 50 0 10 20 30 40 50

Figure 20. Records of received signals from the 28.8-, 57.6-, and 96.l-GHzVV Channels and rain rate on March 24, 1985.

30

Page 37: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

35 · , , · I , • ,• • , i 1

.01.1110

51 I I I sJII"T I ~ I I I I I I

oI~ =t: :k-:!: ±100 =.:t: =r I I~u.u IU11L

I I

30I I I

cumulative distribution

~25

1 I I

of receivedsignal attenuations

c

~ 20co::JCQ)

~ 15-coc

w OD......en 10

Percent of Time Ordinate is Exceeded

6900 690 69TIME (min)

6.9 .69

Figure 21. Cumulative distributions of the 28.8,57.6, and 96.1 GHz signal attenuation ofreceived signals during rain at Gasquet, CA in January, February, and March, 1985.

Page 38: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

14'

~

12CXl-c.............

c:::.0 10+.Jco::::3c:::Q)

8~roc::: 6.~

en

4

10 20. 30

Rain Rate (mm/hr)

40

Fi gure 22. Signal attenuation versus rain rate as a function of frequencyfrom a cumulative distribution analysis of a l15-hour sampleof rain data at Gasquet, CA.

32

Page 39: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

rain rates and attenuations. Only 14 minutes of data correspond to rain ratesgreater than 20 mm/h. Fourteen minutes is such a small sample size that the portionsof the attenuation versus rain rate curves of Figure 22 for rain rates above, 20 mm/hare not statistically significant.

The relationship between attenuation and rain rate is usually modeled using

(1 )

where ex: is the attenuation in dBlkm and R is the rain rat.e,i,n mm/h.The., paramete,rs.a and b depend on the radio frequency and the temperature and drop-size distributionof the rain. For freq~encies above 10 GHz the temperature dependence is not signi­ficant, however. The published results of Olsen et al (1978) have become thestandard reference for the values of a and b. Values of a and b interpolated fromtheir tables for 0° C and the Laws and Parsons (1943) dropsize distribution, lowrain rate, (one of the most popularly used) are given below.

Frequency a b

28.8 GHz 0.148 1.06957.6 GHz 0.617 0.86496.1 GHz 1.057 0.747

In Figure 23, the relationship (1) using the parameter values from the tableabove are compared to the data previously presented in Figure 22. The data for28.8 GHz show less attenuation than the model. At 57.6 GHz the model and datamatch very closely. For 96.1 GHz the data show greater attenuation than the model.The relationship (1) appears to satisfactorily model the data but the parameter ais too large at 28,8 GHz and too small at 96.1GHz. This is presumably due to adifference between the Laws and Parsons drop-size distribution and the actual drop­size distribution of the observations.

6. SUMMARYThe millimeter-wave experimental link established to measure the effects of

rain rate on several propagated rf signals was operated on a l-km path inGasquet, CA. The monitoring period (January 26 through April 14) lasted 80 days.Rain fell for approximately 221 h of this time, dur"ing which 514 mm (20.25 in) ofrain accumulated.

Millimeter-wave signal levels at 28.8, 57.6, and 96.1 GHz, and rain rate wererecorded continuously. These rf channels utilized vertical antenna polarization'

33

Page 40: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

20.0 .........----------------,Specific Attenuation

302510 15 20

RAIN RATE (mm/h)

5O........----~------a.--_...a...-----a...----....--- .....o

5.0

---- Law and Parsons

--.. 15.0 0- - -0 MeasuredE~..........CD-c~

c:o--...,ca~ 10.0c:Q)....,

<c-ctSc:C)--en

Figure 23. A comparison of measured and predictedspecific attenuation.

34

Page 41: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

for both transmitter and receiver (VV). When rain rates exceeded 5 mm/h, VH signals(vertical polarization at the transmitter and horizo~tal polarization at thereceiver) were also recorded for the 28.8-, 57.6-, and 96.1-GHz channels.

A sample period consisting of 115 h during which 290 mm (11.4 in) of·rain fellwas selected as characteristic of the rainfall patterns for the Gasquet area duringthese months. This specific sample was selected because it represented times forwhich all channel data were recorded without measurement error.

Maximum rain rates greater than 50 mm/h were, obse,rv·ed dur';'ng thismonito,ring,period that caused attenuations exceeding 4 dB, 10 dB, and 17 dB for the 28.8-,57.6-, and 96.1-GHz channels, respectively.

Cumulative distributions of rain rate and signal ,attenuation at 28.8, 57.6,and 96.1 GHz based on the 115 h sample are presented. A comparison of the measuredspecific attenuation at these frequencies is comparled to predicted values based onthe Laws and Parson's dropsize distribution model.

7. ACKNOWLEDGMENTThe authors wish to acknowledge the assistance and cooperation received from

personnel at the Gasquet Ranger Station (USDA, Forest Service) and at the GasquetFire Department in establishing the monitor link and periodic servicing of thesystem. Michael Furniss, John Theuerkauf, and Richard Pickenpaugh are especiallythanked for their fine work during the monitoring period.

8. REFERENCESEspeland, R. H., E. J. Violette, and K. C. Allen (1984), Atmospheric channel

performance measurements at 10 to 100 GHz, NTIA Report 84-149, April(NTIS Access. No. PB84-211325)

Laws, J. 0., and D. A. Parsons (1943), The relation-of raindrop size to intensity,TranS. Amer. Geophys. Union 24, PP. 452-460.

Olsen, R. L., D. V. Rogers, and D-.B Hodge (1978), the aRb relation in the calculation

of rain attenuation, IEEE Trans. Ant. Prop. AP-26, No.2, pp. 318-329.

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Page 43: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*

FORM NTIA-29(4-80)

U.S. DEPARTMENT OF COMMERCENAT'L. TELECOMMUNICATIONS AND INFORMATION ADMINISTRATION

BIBLIOGRAPHIC DATA SHEET

1. PUBLICATION NO.

NTIA Report 86-190

2. Gov't Accession No. 3. Recipient's Accession No.

4. TITLE AND SUBTITLE

Rain Attenuation Measurements at 28.8, 57.6, and"" 96.1 GHz on a l-km Path

7. AUTHOR(S)

R. H. Espeland, E. J. Violette, and K. C. Allen8. PERFORMING ORGANIZATION NAME AND ADDRESS

U.S. Department of CommerceNTIA/ITS.S3325 BroadwayBoulder, CO 80303

11. Sponsoring Organization Name and Address

U.S. Department of CommerceNTIA14th &Constitution Avenue, N.W.Washington, D.C. 20230

14. SUPPLEMENTARY NOTES

S'.' Publication Date

February 19866. Performing Organization Code

9. ProjecVTask/Work Unit No.

10. ContracVGrant No.

12. Type of Report and Period Covered

13.

15. ABSTRACT (A 2~O-word or less factual summary of most significant information. If d()cument includes a significant bibliography or literaturesurvey, mentIon It here.)

An experimental millimeter-wave propagation link was installed on a l-km pathin the northern California area (Gasquet) to compare rain rate and attenuationat 28.8, 57.6, and 96.1 GHz. During the monitoring period (January 26 throughApril 14), rain occurred on 27 days with an accumulation of 514 mm (20.25 in).For periods when the rain rate exceeded 5 mm/h, both VV (vertical polarizationat the transmitter and vertical polarization at the receiver) and VH (verticalpolarization at the transmitter and horizontal polarization at the receiver)signals were recorded. Maximum rain rates exceeded 50 mm/h and maximum attenu­ations of 4, 10, and 17 dB were observed on the 28.8, 57.6, and 96.1 GHzchannels, respectively.

16. Key Words (Alphabetical order, separated by semicolons)

attenuation; measurement; millimeter-wave; multifrequency; rain rates

17. AVAILABILITY STATEMENT

[XI UNLIMITED.

o FOR OFFICIAL DISTRIBUTION.

18. Security Class. (This report)

UNCLASSIFIED19. Security Class. (This page)

UNCLASSIFIED

20. Number of pages

4021. Price:

*U.S. Government Printing Office: 1980-678-495/529

Page 44: Rain Attenuation Measurements at 28.8,57.6, and 96.1 GHzon ...RAIN ATTENUATION MEASUREMENTS AT 28.8, 57.6, AND 96.1 GHz ON Al-km PATH R. H. Espeland, E. J. Violette, and K. C. A1len*