最佳屏蔽二进序列偶在低/零相关区中的应用研究

Research of perfect punctured binary sequence pair in LCZ/ZCZ

将最佳屏蔽二进序列偶应用于低/零相关区中,提出最佳屏蔽低/零相关序列偶集的概念,给出了3种构造低/零相关序列偶集的方法,即奇数长最佳屏蔽二进序列偶与Hadamard矩阵相结合组成ZCZ(零相关区)序列集,偶数长最佳屏蔽二进序列偶与改造后的Hadamard矩阵组成LCZ(低相关区)序列集,以及任意长度最佳屏蔽二进序列偶与正交矩阵构成ZCZ序列集。利用这些构造方法,扩展了原有低/零低相关区存在的长度范围,扩大了序列集的容量,可以更好地满足工程应用的需要。

Perfect punctured binary sequence pair was used in LCZ/ZCZ. The theory of LCZ/ZCZ sequence pair sets was defined, and three new methods for constructing LCZ/ZCZ sequence pair sets were presented： ZCZ sequence pair sets based on odd length perfect punctured binary sequence pairs and Hadamard matrices; LCZ sequence pair sets based on even length perfect punctured binary sequence pairs and modified Hadamard matrices; and ZCZ sequence pair sets based on perfect punctured binary sequence pairs and orthogonai matrices. With the proposed methods, LCZ/ZCZ sequence pair sets have wider range of low/zero correlation zone and larger capacity of LCZ/ZCZ sequence sets, which can satisfy re- quirements of projects application better.