一类II型偶长Z-互补序列对的构造  

Construction of Even-Length Type II Z-Complementary Pairs

作　　者：何颖 

机构地区：[1]西华大学理学院,四川 成都

出　　处：《应用数学进展》2025年第2期62-68,共7页Advances in Applied Mathematics

摘　　要：文章以二进制互补对的核为基础,利用Turyn构造法得到一种长度为N=2α10β26γ(α,β,γ为非负整数)的Golay互补对(Golay Complementary Pair, GCP),在此基础上利用级联和删除函数得到长度为II型2N−2的偶长Z-互补对,并且它们非周期相关函数和在零相关区外的幅值为4,丰富了II型偶长Z-互补序列对的数量。与已知传统的序列构造方法相比,文章提出了一种新的构造方法。Based on the kernel of binary complementary pairs, a Golay Complementary Pair (GCP) with a sequence length of N=2α10β26γ(and α,β,γare non-negative integers) was constructed by using Turyn Construction. On this basis, the Deletion Function and Cascading were used to obtain the Type II EB-ZCP with a length of 2N−2, and their aperiodic correlation functions and amplitudes outside the zero-correlation region were 4, which enriches the number of Type II EB-ZCP. Compared with the known traditional sequence construction methods, a new construction method is proposed.

关 键 词：II型Z-互补对 Golay互补对 零相关区 删除函数 

分 类 号：O17[理学—数学]