广义低相关m - y相关素数序列

2007 3rd International Workshop on Signal Design and Its Applications in Communications Pub Date : 2007-12-26 DOI:10.1093/ietfec/e91-a.12.3685

Yun Kyoung Han, Kyeongcheol Yang

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引用次数: 8

摘要

本文引入了长度为pq的新的M- y序列，称为广义M- y相关素数序列，其中p和q是不同的奇素数，M是p - 1和q - 1的公因数。我们证明了它们的非相自相关值的上界是q -p + 1和5之间的最大值。我们还构造了一类广义m - y相关素数序列，并证明了该序列族的最大相关的上界为p + q -1。

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Generalized M-ary Related-Prime Sequences with Low Correlation

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.

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2007 3rd International Workshop on Signal Design and Its Applications in Communications

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