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A Final Report on Grant !io. NAG3-141 FOUR-DIEENSIONAL mlDULATION AND CODING: AN
ALTERNATE TO FREQUENCY-REUSE Submitted to :
National Aeronautics and' Space Administration Lewis Research Center 21000 Brookpark Road Cleveland, OH 44135 Attention:
A
Dr. E. F. Miller
Submitted by:
S. G. Wilson Associate Professor
H. A. Sleeper Graduate Research Assistant
?
\--
Communication Systems Laboratary Department of Electrical Engineering RESEARCH LABORATORIES FOR THE ENGINEERING SCIENCES SCHOOL OF ENGIEZERING AND APPLIED SCIENCE UNIVERSITY OF VIRGINIA CHARLOITESVILLE, VIRGINIA
(NASA-CR-
173453)
HOCULA'iiCbl ANC CODIIIG: A P AiTEFPhTE TO PHPQUENCY-BEUSE F i u a l Geport ( V i r q i n i a C X L 3gN Univ.) 60 p HC AOJ/MF A01
Report No. WA/528200/EE83/107 September 1983
ii 0:- 3 t 3 c c,
FOUh-DIHEKSICtiAL
G3/32
Unclas 15158
Copy No.
PRFXACE This report constitutes the final report to M
A Lewis Research
Center under NAG 3-141, though it is not a summary of technical work performed. Other reports filed under this contract are: 1.
n
Channel Effects on Continuous-Phase Modulation, A Simulation
Study," R. G. Harkness and S. G. Wilson, WA/528200/EE82/101, June 1982. 2.
n
Convolutional Coding Combined with Continuous Phase Modula-
tion,w
S. V. Pizzo and S. G. Wilson, WA/528200/EE82/102,
November 1982.
3.
W
An Improved Algorithm for Evaluating Trellis Phase Codes,"
M. G. Nulligan and S. G. Wilson, WA/S28200/EE82/103, November 1982. 6.
"Rate 3 / 4 Convolutional Coding of 16-PSK: Performance Study,"
S. G. Wilson, H. A.
Code Design and Sleeper, P. J.
Schottler, and M. T Lyons, WA/528200/EE82/lOS. 5.
I?
Rate 2/3 Convolut,onal
Coding of CPFSK," M. G. Mulligan and
S. G. Wilson, Wt/S28200/€€83/107.
ii
OiitGlPiAt FAGE iS OF POOR QUALIW TABLE OF CONTENTS
Page
.................................................. :. ...... . . . . . . INTRODUCTION ............................................. . . . . FOUR-DIMENSIONAL LATTICES ................................ ASYMPTOTIC PROPERTIES OF LATTICES ........................ -. . ... . . . . . -- . . . . MODULATION SETS IN 4-D ................................... 4.1 4-D S e t s from 2-D Products .......................... 5.2 Good.4-D Constructions ..............................
