低相关区互补序列集的构造方法研究  

Research on Construction Methods of Low Correlation zone Complementary Sequence Sets

作　　者：刘涛[1,2] 王玉含 李玉博 LIU Tao;WANG Yuhan;LI Yubo(School of Information Science&Engineering,Yanshan University,Qinhuangdao 066004,China;Hebei Province Key Laboratory of Information Transmission and Signal Processing,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]河北省信息传输与信号处理重点实验室,秦皇岛066004

出　　处：《电子与信息学报》2024年第8期3410-3418,共9页Journal of Electronics & Information Technology

基　　金：国家自然科学基金(62241110);河北省高等学校科学技术研究基金(ZD2021105);河北省重点实验室基金(202250701010046)。

摘　　要：完备互补序列是一类具有理想相关函数性质的信号,在多址接入通信系统、雷达波形设计等领域具有广泛的应用。然而完备互补序列集合大小不超过其子序列数目。为扩展互补序列数目,该文研究了非周期低相关区互补序列集的构造方法,首先提出了两类有限域上的映射函数,进而得到两类参数渐近达到最优的低相关区互补序列集。该类低相关区互补序列集相比完备互补序列集具有更多的序列数目,在通信系统中可支持更多的用户。Perfect complementary sequence is a kind of signal with ideal correlation function,which is widely used in multiple access communication system,radar waveform design and so on.However,the set size of perfect complementary sequences is at most equal to the number of its subsequences.In order to expand the number of complementary sequences,the construction methods of aperiodic low correlation zone complementary sequence set are studied in this paper.First,two kinds of mapping functions on finite fields are proposed,and then two kinds of low correlation zone complementary sequence set with asymptotically optimal parameters are obtained.The number of these kinds of low correlation zone complementary sequence set are more than that of the perfect complementary sequence set,thereby supporting more users in the communication system.

关 键 词：完备互补序列 非周期 低相关区 渐近最优 

分 类 号：TN911.2[电子电信—通信与信息系统]