Optimal discrete signals
Abstract
A unified approach based on Galois field theory is set forth for the optimal synthesis of discrete coded radar signals, which are understood to include signals in which phase and amplitude modulation of a coherent continuous carrier takes place at discrete moments of time which are multiples of a given discretization interval. Two main groups of discrete coded signals are considered: (1) binary phase manipulated signals and (2) pulsed sequences with not more than one coincidence. Concepts of Galois field theory are applied to quadratic residue codes, Msequences, Jacobi codes, Hall codes, various characteristic codes, and the symbol product of codes. Tables of optimal signals are constructed for reference use.
 Publication:

NASA STI/Recon Technical Report A
 Pub Date:
 1975
 Bibcode:
 1975STIA...7622250S
 Keywords:

 Optimization;
 Radar Data;
 Signal Analysis;
 Signal Encoding;
 Amplitude Modulation;
 Autocorrelation;
 Binary Data;
 Field Theory (Physics);
 Matrices (Mathematics);
 Polynomials;
 Tables (Data);
 Communications and Radar