1976•IRE Transactions on Communications SystemsRequires access

Design of Sequences with Specified Autocorrelation and Cross Correlation

N.B. Chakrabarti, M. Tomlinson

Abstract

A method of designing sequences with specified autocorrelation and cross-correlation properties is presented in this paper. This is based on power residue classification of a prime or a prime power and consists of first finding periodic sequences with acceptable correlation sidelobes and then testing these for aperiodic correlation. Signals considered include binary, polyphase, and frequency-time coded sequences. Computer results for some short length sequences are also given.

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Key concepts: Autocorrelation, Aperiodic graph, Polyphase system, Complementary sequences, Cross-correlation, Correlation, Mathematics, Prime (order theory)