一类II型偶长Z-互补序列对的构造

Construction of Even-Length Type II Z-Complementary Pairs

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$N=2^{\alpha }{10}^{\beta }{26}^{\gamma }$ ($\alpha ,\beta ,\gamma$ 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。

Abstract: Based on the kernel of binary complementary pairs, a Golay Complementary Pair (GCP) with a sequence length of $N=2^{\alpha }{10}^{\beta }{26}^{\gamma }$ (and $\alpha ,\beta ,\gamma$ are 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.