P元GMW序列

P-ary GMW Sequences

本文将二元GMW序列推广到P元{0,1,…,P—1},P为素数,并证明了P元GMW序列的周期自相关函数为理想自相关,即自相关旁瓣恒为-1。同时给出了每个序列的等效线性长度,计算了序列的平衡特性和给定结构序列的非平移等价类的个数。最后提出了这种P元序列的实现方案。

In this paper, the binary GMW sequences are generalized to P-ary {0, 1, …, P—1} case, where P is an arbitrary prime number. It is proved that the autocorrelation of the P-ary GMW sequences is ideal, i. e. the out-of-phase autocorrelation is a constant of—1. Linear span, balance property and the number of cyclically distinct sequences for given strcture are evaluated. A mechanization of a P-ary GMW sequence generator is suggested in the end.