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Generalized M-Ary Related-Prime Sequences with Low Correlation
Yun Kyoung HAN Kyeongcheol YANG
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2008/12/01
Online ISSN: 1745-1337
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Signal Design and its Applications in Communications)
low correlation, polyphase sequences, power residue sequences, related-prime sequences,
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In this paper we introduce new M-ary sequences of length pq, called generalized M-ary related-prime sequences, where p and q are distinct odd primes, and M is a common divisor of p-1 and q-1. We show that their out-of-phase autocorrelation values are upper bounded by the maximum between q-p+1 and 5. We also construct a family of generalized M-ary related-prime sequences and show that the maximum correlation of the proposed sequence family is upper bounded by p+q-1.