四元低相关区非周期互补序列集构造  

Construction of quaternary aperiodic complementary sequence sets with low correlation zone

作　　者：许成谦[1] 李永雷 邢方园 XU Chengqian;LI Yonglei;XING Fangyuan(School of Information Science and Engineering,Yanshan University,Qinhuangdao,Hebei 066004,China)

机构地区：[1]燕山大学信息科学与工程学院,河北秦皇岛066004

出　　处：《燕山大学学报》2022年第2期177-180,共4页Journal of Yanshan University

基　　金：国家自然科学基金资助项目(61671402)。

摘　　要：四元低相关区非周期互补序列集在多载波CDMA通信系统中有着极其重要的作用。已有的低相关区互补序列集的构造都是考虑序列的周期相关性,对序列的非周期相关性考虑较少。利用四元正交序列集、二元完全非循环矩阵,本文构造了一类四元低相关区非周期互补序列集,且低相关区长度Z在满足Z/N(N为子序列个数)条件下可灵活设定。由于实际应用中四元正交序列集和二元完全非循环矩阵存在较多,基于此可以构造出大量所需的四元低相关区非周期互补序列集,更好地满足了多载波CDMA通信系统的需求。The quaternary aperiodic complementary sequence sets(ACSS)with low correlation zone(LCZ)plays an important role in multi-carriers code division multiple access(CDMA)communication systems.The constructions of the existing complementary sequence sets(CSS)with LCZ are based more on the periodic correlation of sequences and the aperiodic correlation of sequences are less taken into consideration.In this paper,a class of quaternary ACSS with LCZ by using quaternary orthogonal sequence sets,binary complete non-cyclic matrices is constructed.Moreover,the length of the LCZ can be flexibly set under the condition that Z/N(N is the number of sub sequences).There exist lots of quaternary orthogonal sequence sets and binary complete non-cyclic matrixes in practical applications.Therefore,a large number of required quaternary ACSS with LCZ can be constructed,which can better satisfy the needs of multi-carrier CDMA communication systems.

关 键 词：扩频通信 四元序列 低相关区 非周期互补序列 四元正交序列 二元完全非循环矩阵 

分 类 号：TN914.42[电子电信—通信与信息系统]