45
NASA CR- M Axiomatix Reproduced by NATIONAL TECHNICAL c . INFORMATION SERVICE ca- ' US Depaltment of Commerce Springfield, VA. 22151 C- (NASA-CR-141779) INTEGRATED SOURCE AND N75-22561 CHANNEL ENCODED DIGITAL COMMUNICATION SYSTEM DESIGN STUDY Final Report (Axiomatix, Marina del Rey, Calif.) 45 p HC $3.75 Unclas CSCL 17B G3/32 19475 ) Marina del Rey * California https://ntrs.nasa.gov/search.jsp?R=19750014489 2018-07-16T07:07:59+00:00Z

M Axiomatix - NASA · squaring or a Costas loop must be used by the receivers for carrier tracking and data recovery. Of the two loops, the Costas demodulator is generally Up to 1

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NASA CR-

M Axiomatix

Reproduced by

NATIONAL TECHNICAL c .INFORMATION SERVICE ca- '

US Depaltment of Commerce

Springfield, VA. 22151

C-

(NASA-CR-141779) INTEGRATED SOURCE AND N75-22561

CHANNEL ENCODED DIGITAL COMMUNICATION SYSTEMDESIGN STUDY Final Report (Axiomatix,Marina del Rey, Calif.) 45 p HC $3.75 Unclas

CSCL 17B G3/32 19475 )

Marina del Rey * California

https://ntrs.nasa.gov/search.jsp?R=19750014489 2018-07-16T07:07:59+00:00Z

INTEGRATED SOURCE AND CHANNELENCODED DIGITAL COMMUNICATION

SYSTEM DESIGN STUDY

FINAL REPORT

Contract No. NAS 9-13467Exhibit C

Prepared by

Gaylord K. HuthBruce D. Trumpis

Sergei Udalov

Axiomatix13900 Panay Way, Suite llOM

Marina del Rey, California 90291

Prepared for

NASA Lyndon B. Johnson Space CenterHouston, Texas 77058

PRIES SUBJECT TO G

Reproduced by Axiomatix Report No. R7504-1NATIONAL TECHNICAL April 25, 1975INFORMATION SERVICE

US Department of CommerceSpringfield, VA. 22151

TABLE OF CONTENTS

Page

LIST OF FIGURES .................... iii

1.0 INTRODUCTION ................. 1

2.0 MOTIVATION ..... .... .... ..... 2

3. 0 SUMMARY OF BURST ERROR CORRECTION FORTHE SPACE SHUTTLE COMMAND CHANNELS . ... 5

4.0 COSTAS RECEIVER PERFORMANCECONSIDERATIONS .......... ...... 12

4. 1 Summary of "Optimum Performance ofCostas Type Receivers" . ... ... . . . . . 12

4. 2 Summary of Design and Performance ofCostas Receivers Containing BandpassLimiters .... ...... .. ...... 15

5.0 SUMMARY OF EXPERIMENTAL TECHNIQUESFOR MEASURING LOW LEVEL SPECTRALCOMPONENTS FOR MICROWAVE SIGNALS . . . . . 20

6.0 KU-BAND RETURN LINK MODULATIONTECHNIQUES ........... .. ... . . 24

6. 1 Summary of Feasibility Study of an InterplexModulation System for the Orbiter's Ku-BandLink ...................... 24

6. 2 Summary of Multiplexing Modulation Formats

for the Orbiter's Ku-Band Return Link ... . . 27

6.3 Convolutional Encoding and Viterbi Decodingat 50 Mbps .. . .. . ........ .. 33

7.0 AREAS FOR FURTHER STUDY . . . . . . . . . . 37

7. 1 Spread Spectrum Acquisition and Tracking . . 37

7.2 Three-Channel Data Multiplexing Techniques . 37

7.3 MFSK Coding .. . . ..... . . .. . . . 38

7.4 System Acquisition Characteristics . . . . . . 38

7.5 Modulation-Coding Interface Characteristics . . 38

REFERENCES . ..... .... . .. ... . .... . . 40

LIST OF FIGURES

Page

1. A Burst Correcting Decoder (127, 50) BCH Code . . .. 6

2. Revised Circuitry for Burst Decoder ... . . . . . . 7

3. Command Channel Performance for STDN-to-Orbiterand Orbiter-to-NASA Payload Links ..... . .. . 8

4. Command Channel Performance for SCF-to-OrbiterLink . . . . . . . . . . . . . . . . . . . . . . . 9

5. Command Channel Performance for TDRSS-to-Orbiter Link ....... ....... ..... 10

6. Probability of False Acceptance vs. Probability

of Bit Error for Burst Decoder ... . . . . . . . 11

7. Comparison of the Effectiveness of Various ArmFilters in Reducing the Squaring Loss L for VariousValues of ST/N 0 . . . . . .. . . . . . . . . . 13

8. Ratio of Optimum Bandwidth to Symbol Rate versusSymbol Energy to Noise Ratio, R d .......... 14

9. Ratio Bi/ s Which Minimizes the Squaring LossVersus Rd .................... 16

10. Loss in Loop Signal-to-Noise Ratio Due to thePresence of a Limiter for Various Values of Rd . . . . 17

11. Signal Amplitude Suppression Factor Versus IF

SNR for the CW and Costas Loop . ..... . . . . . 18

12. Variation of Loop Bandwidth with Signal Level for

Optimum Values of B.i/. ............... . 191 S

13. Low-Level Sideband Measurement . ......... 21

14. 800B System Block Diagram . ........... . 23

15. Three-Channel Interplex Modulator . ........ 25

16. Three-Channel Interplex Demodulator Block Diagram . 26

17. Basic Modulator/Demodulator Configurationfor Ku-Band Return Link -- Mode 1. . . . . . . . . 29

18. Data-to-Crosstalk Ratio vs. Carrier TrackingError t for a Two-Channel QuadriphaseDemodulator and Power Ratio P 1

= 4P 2 . . . . . . . . 30

19. Three-Channel PSK Modulator/Demodulator . .... 32

iii

Page

20. Convolutional Encoding and Viterbi Decoding

at 50 Mbps ....... ............... 34

21. Alternate Encoder for Figure 20 . .......... 35

iv

1. 0 INTRODUCTION

This report summarizes the results of several study tasks pertaining

to various aspects of Space Shuttle communication system. The tasks

performed can be logically divided into the following four categories:

1. Study of burst error correction for Shuttle command channels.

2. Performance optimization and design considerations for Costas

receivers with and without bandpass limiting.

3. Investigation of experimental techniques for measuring low

level spectral components of microwave signals, and

4. Investigation and comparison of potential modulation and coding

techniques for the Ku-band return link.

Section 2 defines the motivation for the study tasks undertaken.

A summary of burst error correction study is given in Section 3 with the

details in References 1 and 2. Studies pertaining to optimization of Costas

receivers are presented in Section 4 with the details in References 3 and 4.

Investigation of the experimental techniques for spectrum measurement

are summarized in Section 5 with details in Reference 5. Studies related

to Ku-band modulation formats are discussed in Section 6 with details in

References 6 and 7. Coding and decoding considerations for the 50 Mbps

Ku-band link are also considered in Section 6.

(

2

2.0 MOTIVATION

Depending on the particular mission and the phase of the mission,

the Space Shuttle will utilize either the S-band or the Ku-band communi-

cation links. The S-band communication can be carried out either directly

between the Shuttle and the supporting ground stations such as the Space

Tracking and Data Network (STDN) or via a tracking and data relay satellite

system (TDRSS). The Ku-band link, however, will be established only via

TDRS and will provide the Shuttle with a wideband capability during the

"on-orbit" phase of the mission.

Because of restrictions placed on the antenna dimensions and RF

power limitations at both the Shuttle and the TDRS, the S-band link will

have to operate at Es/N0 values of less than 0 dB. In fact, the threshold

design point for the forward S-band link is at E /N O = -5 dB. This implies

that particular attention must be paid to the design of this link to obtain

maximum efficiency. Coding, burst error correction, and an optimized

demodulator must be employed. These techniques, of course, are also

applicable to the Ku-band link. Coding has been extensively analyzed and

documented as a part of an earlier effort (References 8 and 9). Convolutional

encoding and Viterbi decoding has been recommended and accepted as a

technique for improving bit error probability of the weak links. This tech-

nique, however, while providing improved signal margins, has a side effect

of generating error bursts which are particularly deleterious to the opera-

tion of the command portion of the S-band forward link. Consequently, the

purpose of the studies summarized in Section 3 of this report was to develop

a burst error correction scheme to protect the forward link commands

against this type of error.

Because all of the S-band and most of the Ku-band digital channels

utilize phase-shift keyed (PSK) suppressed carrier modulation, either a

squaring or a Costas loop must be used by the receivers for carrier tracking

and data recovery. Of the two loops, the Costas demodulator is generally

Up to 1 Mbps on the forward links and up to 50 Mbps on the returnlinks.

3

the easier one to implement, and hence this type of demodulator is com-

monly used in digital data receivers. Similar to the squaring loop, the

Costas demodulator employs a nonlinear device--in this case a multiplier,

which results in a "squaring" loss. This squaring loss becomes a major

limiting factor when the E s/N ratio within the arm filter bandwidth of the

Costas loop gets close to 0 dB or becomes negative, which is the case with

a marginal link. The purpose of the arm filters is to prefilter the data

signals prior to application to the multiplier which recovers the carrier

tracking error from the data signals. Thus, it is evident that the efficiency

of arm filtering plays an important role in determining the squaring loss

generated by the multiplier.

Although a considerable amount of analytical work has been carried

out and documented on the subject of Costas demodulator performance, the

effect of arm filters on data distortion, which in turn determines the squaring

loss has not previously been considered in detail. Thus, the task summarized

in Section 4. 1 is specifically directed towards defining the relationship between

the arm filter bandwidth, the roll-off characteristics, the data rate, and the

squaring loss. The specific case considered is that of Manchester data. As

a result of this task, the arm filter characteristics which minimize squaring

loss are established for a Costas loop. The results are particularly useful

for optimizing threshold performance of the Costas demodulators used for

the Shuttle's S-band and Ku-band links.

In addition to the optimization of the arm filters, a related study was

carried out to determine the effect of a bandpass limiter on the performance

of the Costas demodulator. Bandpass limiters, like automatic gain control

(AGC), are commonly included ahead of the Costas demodulator to restrict

the absolute level of signal-plus noise power applied to the demodulator and

thus to maintain the design point parameters of the carrier tracking loop.

However, because the limiter is a nonlinear element, it affects the

performance of the demodulator. Of specific significance is the perform-

ance degradation introduced by the limiter at low signal-to-noise ratios. As

a result of this additional study task, quantitative data useful for Shuttle

4

link receiver optimization are derived. The results are summarized in

Section 4. 2.

The investigation of techniques for microwave signal spectrum mea-

surement, as summarized in Section 5, was motivated by the requirements

to maintain tight specifications on spurious radiations of the S-band link

transmitters. Several experimental approaches are described, and the

technique involving a commercially available test set is recommended.

Ku-band link modulation techniques are still under consideration.

The most probable candidate for digital transmission is quadriphase multi-

plexing of two, and possibly three, digital channels. Interplex and similar

techniques have been investigated and their capabilities and limitations have

been defined. The techniques considered are summarized in Section 6.

5

3.0 SUMMARY OF BURST ERROR CORRECTION FOR THESPACE SHUTTLE COMMAND CHANNELS

Up to now, the requirements on the command channel have been that-2

the probability of command rejection, P , be less than 10 and the proba--18

bility of false acceptance, Pfa' be less than 10 These requirements

were easily met with a (127, 50) BCH command code and an error detector.

A study was initiated to see if there was some method to decrease P withr

no increase in signal power. The detailed results of this study are given

in Reference 1.

The uplinks or command links considered were from the STDN,

SCF, and TDRS to the Orbiter. The last two of these links output error

bursts into the command word so a burst error decoder was chosen over

a random error decoder. A burst decoder was derived for cyclic codes;

the implementation of such a decoder for the (127, 50) command code is

shown in Figures 1 and 2. Note that this decoder is only slightly more

complex than the error detector.

The command rejection performance of the burst decoder and the

error detector is shown in Figures 3, 4, and 5 for the three S-band links.

The performance increase is at least two orders of magnitude. The prob-

ability of false acceptance performance is shown in Figure 6. Note that

the 1018 requirement can be met at reasonable bit error rates.

1

TTz

77 48D2 DI D3

128-bit Received 127-bit Word Buffer

Command Word Received

T = "1" for cycle time 129-255 43 4.

T 2 = "1" for cycle time 2-128T 3 = 111" for cycle time 1T = "1" for cycle time 129-130T5 = "1" for cycle time 131-178 T

48-bit Command Buffer

Figure 1. A Burst Correcting Decoder (127, 50) BCH Code

From OutputT O Register Input

T2 T

TT

T 2 = 1 127 bits

77 48 D D D T2 1 3 6

T1 D2T, = 1 for cycle time 129 - on4

T 2 = 1 for cycle time 2-128

T3 = 1 for cycle time 1

T = 1 for cycle time 256-257

T 5 = 1 for cycle time 258-305 48 bits 5

T = 1 for cycle time 256 - on

Figure 2. Revised Circuitry for Burst Decoder

NO. 34R-L35 DIETZGEN GRAPH PAPER EUOENE DIETZOEN CO.

LOGARITHMIC MAIDE IN U. S. A.

3 CYCLES X 5 CYCLES

Probability of Command Rejection, P r

I.- I.-o o 0 o o

01I 2 3 A 5 67891 2 3 4 5 67891 2 3 4 5" 67891 2 3 4 5 67891 2 4 5 67891

6 - T 4 iu H-, 1 1 I jI I I .i.N9

til 1111 .jI I~l "Pi -TT !11 -*Q1'~ ti -1 tIt I

5-.. .... TitlH:4

ifIII t1 ii n 11 H TW IM] II 03

J -1! l, t1 !lppl

-- i j]j , ,

7 t ilI : : 1:- 1 i I'.

'I 0

i<: 5 i!L! :il ...

5 0lililii !iii~ i iii0 f i: o l uT

4l o

0; 3I' ! 1 ll l ;i ',',:. 'I " r ," !T'lll

iVI! C+ ltv a L) I

2 if IN 401; C

'EI(Da (Dit T C+

~9 Wi "; P

7 :

6 -1 Ir

fill i , Ii, a

Ti vu,

;jji i.4 fl '1'iiI ii~

2 F, i: f i: ii;i n il

t il 1 ,1,11n fli' -

C ~ jjj :00

NO. 340R-L35 DIETZGEN GRAPH PAPER EUOENE DIETZGEN CO.

LOGARITHMIC MADE IN U. 6. A.

3 CYCLES X 5S CYCLES

Probability of Command Rejection, P r

I I I I

W N, 2 3 4 5 67891 2 3 4 5 6 891 2 3 4 5 67891 3 4 5 6 7891 2 5 67891

iiNr I Hir:: w

H I M 1i 111111111__l! I P i;T3 I 1 11 1 1T__IIII I9

4+7 : s I 14 114 1

:I: M ti.! E5 li- "s.:

i iiS ! .. . ... f

10; iff ! .........

It +++++++++++Iiit

.l- i/ ilttl i iiiiiiii I : iili4i4 ............ 1 ......Ull " H 4 ii

"0~J ' t-"]. ... ..

8 i + +!: Iii!iliIt i :';i!

i: 7V. 4 1i + .........5 41 .-t tN4 I .1 111 w l

0

300

I J.' Oita0

if t I,

541;ii :1V t7' 0fti

3 i u. IL141if! i t If! pvj

:X (D

2 : lit

L 141 i ticr. ,llii r

NO. 340R-L35 DIETZUEN GRAPH PAPER EUGENE DIETZGEN CO.

LOGARITHMIC MADE IN U. 6- A.

3 CYCLES X 5 CYCLES

Probability of Command Rejection, Pr0 0 0 0 i

I I I I I

S2 3 A 5 6 7891 2 3 45 6 7891 2 3 4 5 6 7891 2 3 4 5 6 7 91 2 4 5 7 91I FT I. M .7TM i F! "lTHl I II ... ..

of.; it; i .f]f [f iX . it il nll l

I-' Iu Ii 4 I ,'

7 .t-r 1

2II 4 I Ihh#; #T I : ...... 1 . T .... 1.25 T

41 iTf !i :i

2

8 lii i ., s+2f!i ". ......

7I

5 "i ":W I'ItI oi-4 ii i0tii !ii iii

T1IL,

lit l, !Vr(D (D

87-C:I ~I, ,,I,, i iLnliilji c

10- 1 0

Figure 6. Probability of FalseAcceptance vs. Probability ofBit Error for Burst Decoder

10-1110

v 0-15

-II-< 10

STDN -to-Orbiter .STDRSS-to-Orbiter.

10-16 t

t79-4

10

10-1 -"

I 10-1 10-2 10-3 10-4 10-5

Probability of Bit Error, p

12

4.0 COSTAS RECEIVER PERFORMANCE CONSIDERATIONS

4. 1 Summary of "Optimum Performance of Costas Type Receivers"

This section addresses several problem areas associated with the

design and optimum performance of suppressed carrier tracking receivers.

In particular, the design of a Costas loop with both active and passive filters

in the loop arms is considered for the case where the usual restrictive

assumption that the arm filters are sufficiently wide to pass the data mod-

ulation undistorted is not imposed.' This leads to some new and important

results concerning the optimum choice of arm filter bandwidths and spectral

roll-off. Use of the results in a design lead to the most noise immune loop

that can be constructed using passive arm filters.

Since the MAP estimator for the signal phase is a Costas-type loop

with integrate and dump circuits in the arms when symbol sync is known,

the noise immunity of the approach is derived and compared with that of a

Costas loop containing a variety of passive arm filters. In fact, in the region

of symbol energy-to-noise ratio R d of 0 to -10 dB, it is shown (see Figure 7)

that the use of symbol sync to operate the integrate-and-dump arm filters

gives approximately 5 dB of improvement in required carrier power-to-

noise ratio C/NO over passive RC-type arm filters. For 4-pole Butterworth

filters, the improvement is of the order of 4 dB. This comparison is

extended to the case of ideal (rectangular) arm filters. Here the improve-

ment is only 2. 5 dB. The improvement demonstrated is not only realized

during tracking but can also be made effective during sync acquisition. This

is felt to be of considerable importance in the design and operation philosophy

of the TDRS links.

The effect of arm filter distortion is studied in detail. The analysis

shows that there is an optimum bandwidth for each type of filter that is a

function of Rd . These results are depicted in Figure 8.

The Costas loop configuration with integrate-and-dump arm filters

requires accurate estimates of symbol timing; however, symbol sync

normally requires carrier demodulation. It is shown, under ideal conditions,

Manchester coded data is assumed.

CW Loop

-2Matched Filterswith ClockFeedback

LPF

-4 L

dB

2.4 dB

-8

RC Filters in Arms

-10 Figure 7. Comparison of theEffectiveness of Various ArmFilters in Reducing the SquaringLoss - L for Various Values ofST/NO

-12

Symbol Sync Design Point

-10 -8 -6 -4 -2 0 R,=ST/N2dB 4 6 8 10

One-Pole _

Butterworth

Four-Pole_Butterworth

Ideal LowPass Filter

Figure 8. Ratio of Optimum Bandwidth to SymbolRate versus Symbol Energy to NoiseRatio, R d .

d'

-10 -8 -6 -4 -2 0 2 4 6 8 102 10

15

that symbol sync can occur prior to carrier acquisition. But further work

is needed since neither the effect of inaccurate clock timing nor IF filtering

which can produce intersymbol interference is considered.

4. 2 Summary of Design and Performance of Costas ReceiversContaining Bandpass Limiters

This section addresses several key questions and gives various new

results in the design of a Costas tracking loop preceded by a bandpass

limiter (BPL). The BPL is required to control the signal amplitude at

the loop input during carrier acquisition when the coherent AGC is not

operating properly.

As in the previous section, the squaring loss of the combined BPL/

Costas loop was derived assuming a hard limiter, and optimum arm filter

bandwidths were found." This result is shown in Figure 9, and we note that

these bandwidths differ from those computed for a Costas loop without a

BPL. The minimized squaring loss for the BPL/Costas loop is considerably

more than for the Costas loop alone. The addition loss due to the BPL is

shown in Figure 10.

A new expression for the signal amplitude suppression factor due to

a BPL preceding a Costas loop was derived and compared to that for a phase

locked loop, as shown in Figure 11. Figure 12 shows the variation in loop

bandwidth with signal level due to the signal suppression phenomenon.

Manchester encoded data is assumed.

I~ ~ ~ ~~~~i ii ! i-- i i "- ...'..

Figure 9. Ratio Bi/,Vs Which I iMinimizes the Squaring Loss i iVersus R d .

+

. . ,! i.' t -

i * ! , i i/

i-1+

0 I t 'C

4I

I l i I

,; . . .. . . . L-!- i '-. i :-.-

.- . , r l i

I~ I .' i iI

III' I Ii ,.ii

t.iil ifitff f-i! :I!; N~

I0 -8 -5j -, .... F -2. -6!._.

- I0

+R , d B

W; TM

-10 -8 -6 2 R li- dB 4 6 8 10

777- --- I--- .;; .i .... . ...

Figure 10. Loss in Loop Signal-i : :

~l~ ,i I', !#-I

to-Noise Ratio Due to the Pre- . . , :jl2f sence of a Limiter for Various 'H-1 to N ois Ra io D e to the 1~reI

'Values of Rd. -:I .. i

r J! :+-H 4'- li

SI 1 - + -

. T, , -- it

- z ,i' Iii: i"i ... Ki "

IT I-

4 , I-HK 4 i;!" i l

-4 -i R.-i

-2*.Krd

,ii iiI Iti1- IIt i 'I~ I '

TI .,, i' NOTE: The optimum value of:-

i. ..4 . l

H; " {'fj'jt:'B./ is usedhe .tiK ii j- h re-. Ii:

7 ",""7.1 'ti-i ... .~ u.

£.a : ei

[FOl vt-y~ II iT :-

-I0 -• -.! - L . i-2 f4j !0t1~tI[{ I

ilR. ,

ii iii

T Tr 1! ITi

-I lit 1u x jit -IT 1

1J i. i;-r1 - It f i f! 1.-:-

; 71 NOTE: The o p tim urn valu ofi 11 -i ._i. .i:i lB le s use here T 1

Jil. I- it L _ .1 ; 1L _': _ - I i - ; LL-1 0 -2 0 2 4 6 8 1ii.' L.. ~i I~1 ': f r iIi i 1 :iR ' I' dB''

10:J~ ~ ~ ~ ~ ~ ~I o .. !2 T .... i _ . -~-T-- .... ' - -- -- i' ......................... . . ..... ............ ' .= ............ ~ ! /__ ' ........ : "

. -i Figure 11. Signal Amplitude 7 7 7i 7:-- i - . .. .I Suppression Factor Versus IF

.. " ; iI.! - - i ,: "' " ,'-SNR for the CW and Costas Loop. _ -- i- - ....

- _ ._ ".~. _. ". _ ..... " ..... --4 -- i..~ . .. . l ... .. .

- - ------ ---- ------

2 - i i _ ii " .- , . i ,. - i ' / .. i ..P ... - - : - L = _- .~~~~___ 4 _~--~ -"!-

t 10

... . ... ! ~ " -: . ..- " ..... i .. ' " i :- !r i - - -- , !---- '! --- -- !--~ . ...i- ' - -I ' ' : .u i

oI

_ _ _ _ _ _ _ _ _ _ _ _ __ I, f - ii t

iL i_ _ I- -" i7 7 - '/ t". 7

-2 -~ ~ --- I . 4- o e Bu-r o th F l e

._. ... .... r-- .... : -- - ,. .. . t. . _ __- - : -- .. -- . ... . . ..... .. ......

. : . L I _ _ _ _ _ _ _. 1

,i . -' I

t i 10i : - - : -= -:: -; --- -- l :- : --- iil - I: - ir: : -t ( ....b - -_-, .X Z . ..I.... .. - = -- .::_ .I= = _-= . -.- . - .-.-- ---.- ' " i: =; ".-. . .' . . -... - ......

s- .-- -4-b-

-IT

- ------ --------- . . . -----------i7 i- .

" i v~i ....~ .. ... ~ _. _ I . I- - _ _ . . . . . _ _ _ _ _ . . ..

....------ "---- --- ---- -. ..... -- " -

r- -

... I

-20 -18 -16 -14 -12 10 -6 -4 -2 0

-... ~~:/ -._ ....... r .._. _ _. . _ . ............... I '- ----- --- - -OR GN AL PAG E ID ............. 7/- -1-- : ... .. ...... -- .... : _ 7 _. ...... i....- ....'.... ...OF POORt QUALITy/ " !" '

... 0 - /,/ " Ideal Filter ! ' " '-'F--I- . . .. .- I.---// ,-7. , , ! ' d : ,4-Po e But~t erw or h Fi t r

i:.-. I -- _.:. _i ( / 77 T :- - i._. : . _I~~I .... ,:i. .

- ... --- .... .. -- - [1--- ~- ....-- --..~~~.. .. .. . .. . ... ...... ... .. , .... .. ..b - , . . . .. . .. . . ... . .... .. ... ... .. . . .:- --- ..... ! -- i--- .. . .. . .... : :-_ ;.... .. . . . . . . ... . .. . . f= .. ..t . . - .. .. .. . ._ .. .. .. . . . . . . . t _ _ .. ...... ... .. .. .

' ,' ,- .... r...... .... 1 . .

!_--r- I---~---~--I-~--~- -- I---t-- !---I i i-- - ----- -- 1 -------I i - 20 -18 -l --- 1 I0- -8ri -6 - - 0-

-7-1 _ __ - - .. Z . . ..

- Figure 12. Variation of Loop ___ Bandwidth with Signal Level for _- :-- ----

SOptimum Values of B./ ::....

1 . _-..... ... ..

, H ...... ........ -- i--= 1- T? -, ---- :. -..- - :. 7.-- I -. . .. .-- - --. ,- , . -, ~ .. - , ..

7_ _ E:;.-:--=-- -:--=:---- = ......... ... -f- : T'- =--__~_-_i :t : = -== r -: =_ __:= ~_~.-I= : ::- : : ==.r: = -,-===-:_:-

4

0 ----------- -

L . .. . .) - --- _ .. S_ _ ,,_ .

1 3 - --- ---i

7-

..J. ,<---ss-z-:.:. .:vs... . -.- - -.... -..... .. . -. ...... - ..

-- .- . er - - - --, - i -.---- --.- - . . --- - '-- ---- .--- - ----.--- - -- - --- -

4--- -- -

-- -- . -.

- --- i--- - -r - - -

2-4

I t I

B _B

L Lo -

'-i10

2 _ V,-7 -- ___

7 _ c- - -W

0 Rd dB

i :P .--- u- -:- L. - ..-? . E : - U:_ L.--== -- :=P :-_-:=-- ._-.:d-:1 0... ... . . -= : = : = =--= =

: : - = = : = = - = - -b - = = : - = - ' ''" " -=" = :- = '= : : --- "" - := 2- =--.= 7 - -'

-8' -4 ::- ":... ========= = ==R====== ==== ====d=== ==== ==== = dB== = = 0 4: : : : .:_ C :..: W2 :__2._ .. .. . .

20

5.0 SUMMARY OF EXPERIMENTAL TECHNIQUES FOR MEASURING

LOW LEVEL SPECTRAL COMPONENTS OF MICROWAVE SIGNALS

The requirements placed on spectral purity of Space Shuttle micro-

wave communication transmitters demand control of spurious radiations.

In addition to the noise floor resulting from the multiplication of crystal

oscillator output frequencies to microwave region, various interfaces

between equipment subunits may result in discrete spectral components.

Although very small, these components may exceed the specification placed

on the systems performance.

The dynamic range and frequency resolution limitations of conven-

tional frequency-swept spectrum analyzers generally preclude the use of

these instruments from detecting extremely low level spectral components

of the microwave transmitters. Consequently, specialized techniques for

measuring spectral purity of the microwave transmitter must be devised

to test the compliance of any particular system with its specifications.

One of these specialized techniques involves the translation of the

microwave RF spectrum to baseband. The translation is accomplished by

mixing the RF microwave signal with a clean CW signal whose frequency

is either exactly equal to or is offset by a certain amount from the carrier

frequency of the measured signal. The resulting baseband spectrum is then

investigated by a low frequency wave analyzer whose output, in turn, can be

displayed on a chart recorder. A typical test setup and a corresponding

hypothetical spectrum are shown in part (a) and part (b) of Figure 13,

respectively.

The limitation of this technique is that it requires a very stable

reference oscillator and a phase detector (mixer) which is linear over the

dynamic range of signal fluctuation expected from the test signal.

An alternate technique employs a phase-locked loop (PLL) for the

translation of the RF signal sidebands to the baseband. Because the loop's

voltage-controlled oscillator (VCO) automatically locks to the transmitter's

carrier frequency and average phase, the problem of matching the test and

21

Microwave

Transmittei ImpedanceUnder MatchTest

Attenuator

Phase Wave Cha rt

Detector - Analyzer -- Recorder

(Mixer) (see Note 1 see.Note 2

Note 1: Wave AnalyzersFrequency Low frequenc y range:

Synth. IHP 302A (20 Hz to 50 kHz)or GR 1523P4 (10 Hz to 80 kHz)

jHih freency rance:LPF HP 310A (I kHz to 1.5 MHz)

Note 2: Recorder must be GR Model

1523 when GR Model 1523P4

Scope is used for wave analysis.

ORIGINAL PAGE IS Otherwise, any other chart

OF POOR QUALITY recorder having sufficientresolution can be used.

(a) Typical Test Setup

rad /Hz

dB -85to 95dBbelow1 rad Chosen frequencies

from measurement

-120 dB

Hz from carrier 100 kHz

(typically log scale)

(b) Typical wave analyzer output

Figure 13. Low-Level Sideband Measurement

22

reference frequencies is eliminated. Furthermore, phase and.frequency

fluctuations whose rates fall within the bandwidth of the PLL are tracked

out. This takes care of long- and medium-term frequency drifts.

On the other hand, phase noise and spurious frequency components

which are outside the tracking loop bandwidth appear at the output of the

phase detector of the PLL and can be applied to the input of the baseband

spectrum analyzer. Assuming that amplitude instabilities of the transmit-

ter's output and of the test equipment are extremely small, the phase detector

output will contain only the components due to frequency or phase jitter, or

both.

Test equipment which works on this principle is commercially avail-

able. A typical unit is FEL* Model 800B. The simplified block diagram

for this device is shown in Figure 14. According to the manufacturer's

specifications, the S-band phase noise floor of the 800B is below -100 dB

(in 1 Hz bandwidth) at frequencies above 1 kHz away from the carrier. The

low residual noise of the FEL phase jitter analyzer makes this equipment

the logical choice for the detection of spurious components in the output

spectra of the Shuttle's microwave transmitters.

Frequency Engineering Laboratories, Farmingdale, New Jersey.

/ SCOPE ORII \ nRECORDER

SCUNDEATOR MIXER IF PHASE ADJ LOOP

TEST I AMPLIFIER DETECTOR FILTER

EXT LO -

COMB GEN 8 MHz TUNABLE---- - VX CO -MULTIPLIER XTAL OSC

FIGURE 14. 800B SYSTEM BLOCK DIAGRAM

24

6. KU-BAND RETURN LINK MODULATION TECHNIQUES

6. 1 Summary of Feasibility Study of an Interplex ModulationSystem for the Orbiter's Ku-Band Link

The requirement for the Orbiter's Ku-band return link calls for

simultaneous transmission of at least two independent data channels, one

having a rate of up to 50 Mbps and the other having a rate of up to 2 Mbps.

It is also desirable, if feasible, to transmit a third data stream of opera-

tional data at a 192 kbps rate, in addition to the aforementioned data streams.

Because these three channels have different clocks, they cannot be trans-

mitted by time division multiplexing without employing a complex reclocking

scheme. Consequently, other modulation techniques involving phase multi-

plexing and use of subcarriers must be considered. Interplex is one of such

potentially applicable techniques.

The advantages of Interplex modulation as compared with conven-

tional phase shift multiplexing is that it minimizes the amount of RF power

wasted as intermodulation products and it also provides, under certain con-

ditions, for complete suppression of the carrier component, thus allowing

more power to be placed in the information-bearing sidebands. In this

report, the analysis of a three-channel Interplex system was carried out to

determine whether three data channels can be transmitted simultaneously.

The modulator and demodulator for such implementation are shown in

Figures 15 and 16, respectively. As shown in Figure 15, two lower rate

data streams are bi-phase modulated on two separate subcarriers and the

modulated subcarriers are then modulo-2 added with the high rate data

stream. The composite signals are then summed and applied to a phase

modulator.

For maximum suppression of the carrier and intermodulation com-

ponents, the high rate data stream modulation is assigned the modulation

index of ±90 degrees, i.e., antipodal modulation. The phase modulation

angles for the remaining channels are then assigned according to the rela-

tionship en = tan 1 an , where a = P /P is the ratio of the power in

25

d (t) S ( t) 0 .

50 Mbps

sq w2 t wc(subcarrier) (carrier)

d (t S (t)33

0.2 pt)S 3(t)

Mbps

sq w3t

(subcarrier)

Figure 15. Three-Channel Interplex Modulator

ORIGINAL PAGE ISOF POOR QUALITY

26

BM 1 S (t)

z(t) LPF 50 Mbps data

Ycos (wt +4)c

VCO 4_ Loop )M

90

j ZrZsin (wt + )

- LPF2

BM 2

SS2(t) d 2 (t)SFilter 2 Mbps data

sq w2tSC 3 S3(t) d 3(t)

Filter 192 kbps dataORIGINAL PAGE ISOF POOR QUALITY

sq w3t

Figure 16. Three-Channel Interplex Demodulator Block Diagram

27

the nth channel (n = 2, 3,... ) to the power in the "main" channel. In the

report, we have used the equal error rate criterion for all three channels

and thus the power allotted to the secondary channels was made proportional

to the data rates.

Because most of the signal power is assigned to the antipodal (bi-

phase) modulation, a Costas loop demodulator shown in Figure 16 can be

used for carrier tracking and data recovery. The secondary data channel

subcarriers are extracted from the lower (quadrature) arm of the Costas

loop and, after filtering, the data is recovered by re-inserting the appro-

priate subcarriers. Although some penalty is paid for not using the energy

in the secondary channels for carrier tracking, this penalty is generally

small, typically less than 1 dB if the combined power in the secondary

channels is at least 6 dB below the power in the primary channel.

When considering a multi-channel Interplex system, the crosstalk

between the channels must be taken into account. Of primary concern in

the crosstalk which is caused by the carrier tracking error. When this

error is present in the demodulator loop, the primary channel data starts

to appear in the secondary channels, and vice versa. However, for the

secondary channel power assignments proportional to data rate, the cross-

talk of the major channel into the secondary channel (worst case crosstalk)

is 10 dB below the secondary channel signal if the carrier tracking error

is less than 15 degrees in the numerical example presented in Reference 6.

With a properly designed loop, carrier tracking error can be maintained

below this value even for the worst case of Shuttle acceleration with respect

to TDRS.

Thus, the conclusion of the study is that, at least in principle, a

three-channel Interplex modulation/demodulation scheme can be mechanized

to accommodate the requirements of the return Ku-band link.

6. 2 Summary of Multiplexing Modulation Formats for theOrbiter's Ku-Band Return Link

Reference 7 considered various aspects of modulation format selec-

tion for the Ku-band return link. Specifically, the methods for modulation

28

and demodulation of return link data streams were considered. First, the

relatively straightforward problem of transmitting only two data streams

was considered. One possibility for achieving this is to use two orthogonal

components of a single carrier, with each component being bi-phase modu-

lated by its own data stream. The amplitudes of the two carrier components

are then adjusted for the required power division and combined to yield a

quadriphase modulated carrier. The rates of the two data streams can be

different and their clocks do not have to be synchronous.

If the power in one of the orthogonal components exceeds the power

in the second component by a significant amount, say by 6 dB or more, the

simplest way to recover the data and to provide carrier tracking is to use

a Costas loop demodulator. The demodulator then locks on to and tracks

the strongest of the two orthogonal carrier components. The basic modu-

lator/demodulator configurations for this scheme are shown in Figure 17.

With perfect carrier frequency and phase tracking, there is no cross-

talk between the two recovered data streams because of the orthogonality

of the two carriers. But if a carrier phase tracking error is present, cross-

coupling develops between the two demodulated data streams. In addition

to being a function of carrier tracking error, the crosscoupling is also a

function of power division between the channels and their respective band-

widths. In our study, we have considered the case where either the 192

kbps or the 2 Mbps data channel is quadriphase multiplexed with the 50

Mbps channel, the power in the 50 Mbps channel being four times the power

of either the 192 kbps or the 2 Mbps data channels. Figure 18 shows the

calculated data-to-crosstalk ratios vs. carrier tracking error for the afore-

mentioned conditions. In the figure, the curves labeled D 2 (1) represent the

ratio of either the 192 kbps or the 2 Mbps data to the crosstalk caused by

by the 50 Mbps stream. Conversely, the curve labeled D1(2) indicates

data-to-crosstalk ratio in the 50 Mbps channel, the crosstalk being caused

Because of 1/2 rate encoding, the symbol rate of this stream is100 Mbps.

29

Up toUp to 50Mbps 100 Mbps BM1 A a(t) cos w t

Viterbi NRZ(NRZ) Encoder a(t)

cos W tc

RF To Transmitter

Generator A a(t) cos w tC

+ Bb(t) sin o t2 c

sin w t

19 kbps (Bi--L)b(tor

Up to 2 Mbps (Bi-4-L) Bb(t) sin w tBM c

(a) Two-Channel Quadriphase Modulator

Up to 100 Mbps(NRZ) Viterbi Up to 50 Mbps

Decoder (NRZ)

A a(t) cos w t PD+ B b(t) sin Wt e, (t)LPF

Fr 1 Hard Limiter

cos (Wt + L J (Optional)

I |Carrier e3 ErrorTrack DetectorLPF

| (b) Costas Loop Quadriphase2s Demodulator

sin (' t + ) B1>> B2

e2(t) LPF1 2

PD2 LPF To Bit Sync

(B2 192 kbps (Bi- -L) Detector

or 2 Mbps (Bi-4-L)

Figure 17. Basic Modulator/Demodulator Configuration forKu-Band Return Link -- Mode 1

30

60

ORIGINAL PAGE IS50 OF POOR QUALITY

40

0.,44.

30

204D (1)

for 12 Mbps

10

S5 10 15 20 25

Carrier Tracking Error (degrees)

for a Two-Channel Quadriphase Demodulator andPower Ratio P1 = 4P2

31

by either one of the lower rate channels. We note, however, that for the

case considered, the carrier phase error has to be over 25 degrees in order

to reduce the worst case data-to-crosstalk ratio to about 10 dB, a ratio-6

which is of the same order of magnitude as the Eb/NO for the 10 error

rate. The 25 degree carrier error is, however, a relatively large error

and with proper loop design can be minimized for the Orbiter-to-TDRS

dynamics.

The crosstalk for a two-channel Interplex with the same power

division, i. e., 4 to 1 power division, was also computed. It was shown

that from the standpoint of crosstalk the quadriphase modulation and the

Interplex behave identically provided that the main, i.e., high data rate,

high power channel utilizes bi-phase modulation.

The effect of a hard limiter in one arm of the Costas demodulator

used for carrier tracking and data recovery of a quadriphase signal was

also investigated. It was determined that the hard limiter, although in-

creasing the carrier tracking range of the high power channel, may cause

channel ambiguity in which the outputs of the two independent streams

reverse. In other words, the low power channel data appears at the channel

originally intended for the output of the high power data. This reversal may

take place in addition to the normal 0 or 180 degrees data polarity ambiguity

associated with the Costas loop demodulator. It is therefore recommended

that, if a limiter is used within a Costas loop, amplitude sensing should be

employed to correct the channel reversal.

The case of simultaneous multiplexing of three data streams was

also reconsidered using a phase multiplexing technique similar to the Inter-

plex. The technique considered consisted of superimposing the two lower

rate data channels on an RF carrier which is orthogonal to the bi-phase

modulated RF carrier used for the transmission of the main, high data

rate signals. The basic modulator and demodulator for this technique are

shown in Figure 19. The intermodulation analysis of this quasi-quadriphase

modulation technique indicated that for small modulation angles, i. e., less

32

DSBSC AM Signal(i--L F(t) sin aC t

sin o tSC c Constant

Up to Envelope2 Mbps Amplitud PM

(Bi- -L) 2 LSignal toXmtr

CarrierOscc. os w t

cos (w t + dT)

Up to d 0O, 1

100 Mbps(NRZ) BM 1

(a) Three-Channel PM Multiplexer/Modulator

ORIGINAL PAGE ISOF POOR QUALITY Up to 100 Mbps

(NRZ) Viterbi I Up to 50 MbpsDecoder (NRZ)

(b) Costas Loop Three-Channel PSK Demodulato

VCO Track B 1 >> B 2 >> B3

LPF

(i-LLPF Up to 2 Mbps

FBPF 192 kbps(B(Bi- -L)

SC

Figure 19. Three-Channel PSK Modulator/Demodulator

33

than ±15 degrees total for the two low rate data channels, the quasi-

quadriphase technique is virtually identical to Interplex.

The conclusion was therefore reached that, within certain modu-

lation limits, the quadriphase and Interplex techniques are equivalent from

the standpoint of data crosstalk. The main difference between the two

techniques is that of implementation. Interplex techniques combine all

data signals at baseband and then applies them to a linear phase modulator

which operates on only one carrier. Quadriphase techniques require two

orthogonal carriers which, after modulation, are combined to provide a

composite carrier. Thus, the selection of either technique depends on the

system implementation chosen for any specific case.

6.3. Convolutional Encoding and Viterbi Decoding at 50 Mbps

6. 3. 1 Introduction

Convolutional coding for the 50 Mbps Ku-band channel presents an

interesting problem because no 50 Mbps Viterbi decoders have been built.

For the baseline code (R= 1/2, K= 7), 10 Mbps Viterbi decoders have been

built. Thus, an implementation can be envisioned which uses five encoders

and five decoders with some appropriate multiplexers and demultiplexers

in between, as shown in Figure 20. This section looks at some alternatives

to this implementation. Specifically, it discusses how the encoder portion

of Figure 20 can be done with one 31-stage shift.register and no mux/demux

units. Also, it shows how a conventional 7-stage encoder operating at 50

Mbps can be used with a wide variety of decoder implementations.

6. 3.2 Alternate 50 Mbps Coding Strategies

The encoder shown in Figure 20 consists of five 10 Mbps encoders

in parallel being fed by the demultiplexed 50 Mbps data stream. Another

implementation is to use a 31-stage shift register encoder operating at 50

Mbps, as shown in Figure 21. The tap or connection polynomials Gl(x)

and GZ(x) for the 31-stage encoder are related to the tap polynomials gl(x)

and g 2 (x) for the 7-stage encoder by G(x) = gl(x 5 ) and G 2 (x) = g 2 (x 5 ). The

first two symbols at the output of the long encoder correspond to the first

O I 5Encoder 4 X

X

10 Mbps

Encoder 5

ORBITER 50 MBPS ENCODER

Fu Decoder a V

Decoder 2 M

S Decoder 5

Clock

GROUNDRBITER 50 MBPS DECODER

FiDere 20. Convoluonal Encodiner and ViterbiDecoding at 50 Mbs

OutputFigure 21. Alternate Enoder for FiguInput

Output O

Figure 21. Alternate Encoder for Figure 20

36

to the first code branch of the first short encoder; the second two symbols

correspond to the first code branch of the second short encoder, etc. Note

that if this encoder is implemented, it must be decoded by the five parallel

Viterbi decoders or by a 50 Mbps sequential decoder, if available.

Now suppose that a 25 Mbps Viterbi decoder is developed. Then

only two of these decoders are needed for 50 Mbps. The encoder can either.

be two 25 Mbps 7-stage encoders in parallel or one 50 Mbps 13-stage

encoder with tap polynomials given by Gl(x) = gl(x 2 ) and G'(x) = g2(x

A normal 7-stage encoder operating at 50 Mbps could be used in the

Orbiter with any number of decoders at the ground station if the data is

blocked. This means that a number of information bits, say 100, is encoded

and blocked by finishing off with six additional data O's. These six zero bits

are called the tail, and their purpose is to bring the encoder (also the decoder)

back to the all-zero state. These extra bits correspond to 0. 25 dB loss in

Eb/N0; of course, this loss can be decreased by increasing the block length.

The received data blocks are distributed between the decoders. For example,

if five 10 Mbps decoders were used at the ground station, then the data blocks

are buffered at the input rate of 50 Mbps and distributed to each decoder at

a 10 Mbps rate. Thus, by varying the buffer organization from no buffer

for a single 50 Mbps decoder to five or more data block buffers, any number

of Viterbi decoders can be used, thereby lowering the effective data rate

at each decoder.

In conclusion, some alternatives to the Figure 20 implementation have

been presented. The five parallel 10 Mbps decoders can be used with any

of three encoder implementation. Similarly, there are three encoders for

two parallel 25 Mbps decoders. But for a 50 Mbps decoder, only one encoder,

the conventional 7-stage encoder, may be used. On the other hand, the 7-

stage encoder can operate with any of three decoder implementations.

37

7. O0 AREAS FOR FURTHER STUDY

During the course of the contract, a number of problem areas were

identified which require further study. These areas are summarized below.

7. 1 Spread Spectrum Acquisition and Tracking

Both the S-band and Ku-band may have to utilize direct sequence

PSK spectrum spreading to minimize the spectral density of the forward

link signals impinging upon the Earth. As is generally the case, the acqui-

sition or synchronization time must be minimized. There exist techniques

which speed up the time taken for the acquisition. One such technique is

sequential detection. The performance of this technique depends on the

signal-to-noise ratio at acquisition, the required probability of sync detec-

tion and the maximum time allowed for search. The exact tradeoffs between

these factors require further consideration to optimize the acquisition per-

formance for both the Ku-band and S-band spread spectrum links.

For the Ku-band link, the encoding of the forward link may increase

the data spectrum width to the same order of magnitude as that of spread

spectrum. This presents a rather unique situation which requires special

consideration.

Once the PN code acquisition is established, the code tracking com-

mences. Code tracking can be accomplished by such techniques as early-

late gate tracking or tau-jitter loop tracking. Both techniques have their

advantages and disadvantages. Generally, the early-late gate tracking

shows better theoretical performance, but its implementation may be more

complex than that of the tau-jitter loop. Thus, further consideration has

to be given to the tradeoffs involved between these techniques with particular

emphasis on the Shuttle spread spectrum link parameters.

7. 2 Three-Channel Data Multiplexing Techniques

Preliminary considerations have been given to the various techniques

for multiplexing on a single carrier of three data streams, each having

different data rates and clocks. This specifically applies to the Ku-band

38

return link. It was shown that, at least in principle, Interplex and related

quadriphase techniques can be used for phase multiplexing of three data

channels. The effects imposed by implementation configurations, however,

require further study to define the practical limitations of the three-channel

data multiplexing techniques considered so far. Alternate techniques such

as asynchronous time and/or frequency multiplexing may also be considered.

Also, acquisition methods and their peculiarities, such as possible false

locks and related phenomena, must be investigated for the various three-

channel multiplexing techniques.

7.3 MFSK Coding

Further work should be done in the design of 8-ary FSK convolutional

coding, particularly in the transmitter/receiver implementation. Both ortho-

gonal and nonorthogonal signals should be considered, with optimum frequency

deviations and receiver bandwidths being determined. An important aspect

is the signal design for a bandlimited channel. A new modulation technique,

quadrature phase frequency shift keying (QFSK), should be looked at for

possible bandwidth conservation.

7.4 System Acquisition Characteristics

The acquisition characteristics of the digital transmission system

for communications either directly from the ground or via TDRS to the

Orbiter need to be determined. The analysis of carrier, symbol sync,

Viterbi decoder branch sync, and multiplexer frame sync acquisition needs

to be refined to accurately predict the total system acquisition time as a

function of the received signal-to-noise ratio. Effects such as antenna

switching on system acquisition should be investigated. A basic set of

acquisition techniques and procedures needs to be developed for both direct

and TDRS links. In particular, the mutual acquisition of the Orbiter and

TDRS high gain antennas must be studied.

7. 5 Modulation -Coding Interface Characteristics

Sources of performance degradation on the Viterbi decoder due to

the PSK demodulation and bit sync need to be identified. Also, the types

39

of AGC need to be compared and the effects that the AGC has on the system

performance need to be investigated. The interface between the receiver

PSK demodulator and the digital signal processor needs to be carefully

analyzed to minimize the signal processor performance degradation.

40

REFERENCES

i. B. D. Trumpis, "Burst Error Correction for the Space Shuttle

Command Channels," Axiomatix Report No. R7410-1 (under NASA

Contract No. NAS 9-13467), October 2, 1974.

2. B. D. Trumpis, "Addendum to Burst Error Correction for the

Space Shuttle Command Channels, " Axiomatix Report No. R7501-1

(under NASA Contract No. NAS 9-13467), January 11, 1975.

3. W. C. Lindsey, "Optimum Performance of Costas Type Receivers,"

Axiomatix Report No. R7410-7 (under NASA Contract No. NAS 9-

13467), October 11, 1974.

4. W. C. Lindsey, "Design and Performance of Costas Receivers

Containing Bandpass Limiters, " Axiomatix Report No. R7502-2

(under NASA Contract No. NAS 9-13467), February 17, 1975.

5.. S. Udalov, "Experimental Techniques for Measuring Low Level

Spectral Components of Microwave Signals, " Axiomatix Report

No. R7410-6 (under NASA Contract No. NAS 9-13467), October 11,

1974.

6. S. Udalov, "Feasibility Study of an Interplex Modulation System

for the Orbiter's Ku-Band Link," Axiomatix Report No. R7410-5

(under NASA Contract No. NAS 9-13467), October 7, 1974.

7. S. Udalov, "Multiplexing Modulation Formats for the Orbiter's

Ku-Band Return Link, " Axiomatix Report No. R7502-1 (under

NASA Contract No. NAS 9-13467), February 13, 1975.

8. G. K. Huth, "Viterbi Decoder Performance and Complexity,"Axiomatix Report No. R7401-1 (under NASA Contract No. NAS

9-13467), January 23, 1974.

9. G. K. Huth, "Command Channel Coding for Shuttle Communications, "Axiomatix Report No. R7307-1 (under NASA Contract No. NAS 9-

13467), July 20, 1973. Also, G. K. Huth and B. H. Batson, "A

Command Encoding Scheme for a Multiplexed Space Communication

Link," NTC '73 Conference Record, Atlanta, Georgia, November

26-28, 1973.