Almost-perfect polyphase sequences with small phase alphabet
IEEE Transactions on Information Theory
Existence and nonexistence of almost-perfect autocorrelation sequences
IEEE Transactions on Information Theory
SETA'10 Proceedings of the 6th international conference on Sequences and their applications
Odd perfect sequences and sets of spreading sequences with zero or low odd periodic correlation zone
SETA'12 Proceedings of the 7th international conference on Sequences and Their Applications
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Ternary (–1, 0, +1) almost-perfect and odd-perfect autocorrelation sequences are applied in many communication, radar and sonar systems, where signals with good periodic autocorrelation are required. New families of almost-perfect ternary (APT) sequences of length N = (pn – 1)/r, where r is an integer, and odd-perfect ternary (OPT) sequences of length N/2, derived from the decomposition of m-sequences of length pn – 1 over GF(p), n = km, with p being an odd prime, into an array with T = (pn – 1)/( pm – 1) rows and pm – 1 columns, are presented. In particular, new APT sequences of length 4(pn – 1)/(pm – 1), (pm + 1) = 2 mod 4, and OPT sequences of length 2(pn – 1)/(pm – 1) with peak factor close to 1 when p becomes large, are constructed. New perfect 4-phase and 8-phase sequences with some zeroes can be derived from these OPT sequences. The obtained APT sequences of length 4(pm + 1), p 3 and m – any even positive integer, possess length uniqueness in comparison with known almost-perfect binary sequences.