新的Ⅱ型偶长Z-互补对构造  

Construction of new even-length type-II Z-complementary pair

作　　者：陈晓玉[1,2] 孙连峰 张杰坤 李玉博 CHEN Xiaoyu;SUN Lianfeng;ZHANG Jiekun;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,河北秦皇岛066004 [2]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3期138-144,共7页Journal on Communications

基　　金：河北省自然科学基金资助项目(No.F2021203078,No.F2020203043);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：为丰富Z-互补对(ZCP)的参数形式,研究了新的Ⅱ型ZCP的构造方法。基于迭代法,实现了Ⅱ型(2^(k+2)N,(2^(k+2)-1)N)-ZCP的构造,当N=1时,可得Z-最优Ⅱ型(2^(k+2),(2^(k+2)-1))-ZCP。进一步,将迭代法与插值法相结合,构造了Ⅱ型(2^(k+1)N+2^(k+1),2^(k+1)N+2^(k+1)-N/2)-ZCP;当N=2时,可得Z-最优Ⅱ型(3×2^(k+1),3×2^(k+1)-1)-ZCP。所提方法可以生成新的偶长ZCP,实现了对现有ZCP数量的扩展。To enrich the parameter forms of Z-complementary pair(ZCP),the constructions of new Type-II ZCP were investigated.First,Type-II(2^(k+2)N,(2^(k+2)-1)N)-ZCP was proposed by using iterative method.When N=1,Z-optimal type-II(2^(k+2),(2^(k+2)-1))-ZCP could be obtained.Then,type-II (2^(k+1)N+2^(k+1),2^(k+1)N+2^(k+1)-N/2)-ZCP was presented by combining the iterative method with the insertion method.When N=2,Z-optimal type-II(3×2^(k+1),3×2^(k+1)-1)-ZCP could be obtained.The proposed constructions can generate new even-length ZCP,and expand the number of existing ZCP.

关 键 词：非周期 迭代法 Golay互补对 Z-互补对 

分 类 号：TN911.2[电子电信—通信与信息系统]