具有大零相关区宽度的Ⅱ型偶长Z-互补对构造方法  

Construction method of type-Ⅱeven-length Z-complementary pair with large zero correlation zone width

作　　者：陈晓玉[1,2] 孙连峰 张钇涵 CHEN Xiaoyu;SUN Lianfeng;ZHANG Yihan(School of Information Science&Engineering,Yanshan University,Qinhuangdao 066004,China;Hebei Province Key Laboratory of Information Transmission and Signal Processing,Yanshan University,Qinhuangdao 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 [2]燕山大学河北省信息传输与信号处理重点实验室,河北秦皇岛066004

出　　处：《通信学报》2023年第6期167-174,共8页Journal on Communications

基　　金：国家自然科学基金资助项目(No.62241110);河北省自然科学基金资助项目(No.F2021203078);河北省高等学校科学技术研究基金资助项目(No.ZD2022026);河北省重点实验室基金资助项目(No.202250701010046)。

摘　　要：利用交织技术提出了Ⅱ型偶长Z-互补对的构造方法,提出了以Golay互补对及其互补偶为基础序列的交织结构基本框架,并给出了该框架需要满足的必要条件,以使所得Z-互补对可以具有较大的零相关区宽度。所构造的Z-互补对的主要参数形式为((2k+1)N,(2k+1)N-k)-ZCP,其中N为所选Golay互补对的长度。所构造的Z-互补对虽然不能覆盖所有偶数长度,但其零相关区宽度可以达到或接近Ⅱ型偶长二进制Z-互补对的理论上界,且具有较小的峰均包络功率比,其值小于或等于4,应用到多载波扩频系统中可以消除更多的异步干扰和减小非线性失真。The construction method of Type-Ⅱeven-length Z-complementary pair(ZCP)was proposed by using the interleaving technique.The basic framework of interleaving structure with Golay complementary pair(GCP)and its mate as the basic sequences was proposed.Furthermore,the necessary conditions were given for the framework in order that the resulting ZCP could have large zero correlation zone(ZCZ)width.The main parameter form of the constructed ZCP was((2k+1)N,(2k+1)N-k)-ZCP,where N was the length of the chosen GCP.Although not all even lengths can be covered,the constructed ZCP has the ZCZ width that can achieve or approach the upper bound of Type-Ⅱeven-length binary ZCP,and has small peak-to-mean envelope power ratio whose value is less than or equal to 4.The resultant sequences can be applied to multi-carrier spread spectrum system to eliminate more asynchronous interference and reduce nonlinear distortion.

关 键 词：格雷互补对 偶长Z-互补对 零相关区 峰均包络功率比 

分 类 号：TN911.2[电子电信—通信与信息系统]