两类最优零相关区非周期互补序列集的构造  

Constructions of Two Optimal Zero Correlation Zone Aperiodic Complementary Sequence Sets

作　　者：崔莉[1,2] 许成谦[1] CUI Li;XU Chengqian(School of Information Science&Engineering,Yanshan University,Qinhuangdao 066004,China;School of Mathematics and Information Science&Technology,Hebei Normal University of Science&Technology,Qinhuangdao 066004,China)

机构地区：[1]燕山大学信息科学与工程学院,秦皇岛066004 [2]河北科技师范学院数学与信息科技学院,秦皇岛066004

出　　处：《电子与信息学报》2022年第12期4304-4311,共8页Journal of Electronics & Information Technology

基　　金：国家自然科学基金(61671402);河北省自然科学基金(F2020203043);河北省高等学校科学技术研究项目(ZD2021105)。

摘　　要：该文基于正交矩阵,通过不同的矩阵变换的方法,提出两类零相关区(ZCZ)非周期互补序列集(ZACSS)的构造方法。在正交矩阵的阶能够被零相关区长度整除的条件下,所得序列集参数均能达到最优,且零相关区长度可以灵活选择。第1种方法构造的序列集具有理想的自相关互补性,通过进一步分组,可以得到多个组内互补的序列集。利用初始矩阵和正交矩阵的多样性能够构造出大量的最优零相关区非周期互补序列集,可应用于多载波码分多址(MC-CDMA)系统作为用户地址码来消除多径干扰和多址干扰。Based on orthogonal matrices,constructions of two Zero Correlation Zone(ZCZ)Aperiodic Complementary Sequence Sets(ZACSS)are proposed through different matrix transformation methods.Under the condition that the order of the orthogonal matrices can be evenly divided by the length of the zerocorrelation zone,the parameters of obtained sequence sets are optimal,and the length of the ZCZ can be chosen flexibly.The sequence sets are constructed by the first method have ideal autocorrelation complementarity,and by further grouping,a set of intra-group complementary sequence sets can be obtained.A large number of optimal ZACSS can be constructed by different kinds of initial matrices and orthogonal matrices.The resultant sequence sets proposed in this paper can be applied to Multi-Carrier Code Division Multiple Access(MCCDMA)systems as user address codes to eliminate multipath interference and multiple access interference.

关 键 词：多载波码分多址 零相关区 非周期 互补序列集 

分 类 号：TN911.2[电子电信—通信与信息系统]