一类由交织方式构造的二元ZCZ序列簇

2000年, Tang, Fan和Matsufuji给出(L,M,Zcz)-ZCZ序列簇的理论界为ZczL/M-1 。给定正整数n和L，本文给出一个交织ZCZ序列簇的构造算法，该算法由L条周期为L的正交序列簇生成一类(2n+1L,2L,2n-1)-ZCZ序列簇。若n2且4 |, 该类ZCZ序列簇中编号为奇数的序列与编号为偶数的序列在移位为时相关值为零。此外，选择不同的正交序列簇或不同的移位序列, 经构造算法可以生成不同的ZCZ序列簇。

A Class of Binary ZCZ Sequence Families Constructed by Interleaved Methods

In 2000, Tang, Fan and Matsufuji presented the theoretical bound of an (L, M, Zcz)-ZCZ sequence family is ZczL/M-1. In this paper, for given positive integers n and L, a construction algorithm of interleaved ZCZ sequence families is proposed, by which a class of binary (2n+1L,2L,2n-1)-#61485;ZCZ sequence families can be generated from an orthogonal sequence family composed of L sequences with period L. If n2 and 4∣, the correlation value between even-number-indexed sequences and odd-number-indexed sequences with shift of this sequence family is zero. Furthermore, choose different orthogonal sequence families or different shift sequences, different ZCZ sequence families can be generated by this construction algorithm.