相互正交的 ZCZ 序列偶集的构造

摘要

由于零相关区（zero correlation zone，ZCZ）序列偶集作为通信系统的扩频序列，具有减少或消除多址干扰，有效改善系统性能的优越性能。构造性能参数达到或接近最优的 ZCZ 序列偶集，成为研究的重点。提出多集合相互正交 ZCZ 序列偶集的构造方法，基于最佳序列偶和正交矩阵偶，构造多组相互正交的 ZCZ 序列偶集。先对 ZCZ 序列偶进行移位操作，引入正交矩阵偶对其进行扩展，得出的序列偶集合相互正交性能参数达到或接近最佳。同已有方法相比较，所提方法构造集合数目更多，且放宽了序列偶中对序列长度的要求。%As a spread spectrum sequence of the communication system,the zero correlation zone (ZCZ)se-quence pairs set has superior performance,which can reduce or eliminate the multi-address interference and ef-fectively improve the performance of the system.Therefore,how to construct the ZCZ sequence pairs set with perfect or near perfect performance parameters is the focus of our research.Based on perfect sequence pairs and orthogonal matrix pairs,a method of constructing multiple mutually orthogonal ZCZ sequence pairs sets is pro-posed.The ZCZ sequence pairs are shifted and then extended by introducing the orthogonal matrix pairs.Final-ly,the multiple mutually orthogonal ZCZ sequence pairs sets are obtained,whose performance parameters are at or near the best.Compared with existing methods,the proposed method constructs more sets and has less strict requirement for sequence length.