长度为2m + 7的II型Z-互补序列对
Type-II Z-Complementary Sequence Pairs of Lengt 2m + 7
摘要: Z-互补序列因在准同步通信中能够有效的抑制多址干扰和符号间干扰且具有低峰均包络功率比的优势，使其成为通信信号、雷达、信道估计等领域的重要研究对象。针对现有Z-互补序列长度受限和灵活性不足问题，本文提出了一种新型长度的序列构造。该构造方法是基于广义布尔函数，对已有序列采取迭代插入操作，从而得到序列长度为2m + 7、零相关区宽度为2m − 1 + 4的II型Z-最优互补序列。本文的研究丰富了Z-互补序列在长度灵活性方面的构造，在理论意义和工程应用方面具有一定的价值。
Abstract: Owing to their advantages in effectively suppressing multiple access interference and inter-symbol interference in quasi-synchronous communications, as well as possessing low peak-to-average power ratio, Z-complementary sequences have become important research objects in fields such as communication signals, radar, and channel estimation. Aiming at the problems of limited length and insufficient flexibility of existing Z-complementary sequences, this paper proposes a construction of sequences with novel lengths. Based on generalized Boolean functions, the proposed method performs iterative insertion operations on existing sequences, so as to obtain Type-II Z-optimal complementary sequences with sequence length 2m + 7 and zero correlation zone width 2m − 1 + 4. In this paper, the research enriches the construction of Z-complementary sequences in terms of length flexibility, and has certain theoretical significance and engineering application value.
文章引用：孙晓月. 长度为2m + 7的II型Z-互补序列对[J]. 应用数学进展, 2026, 15(10): 93-102. https://doi.org/10.12677/aam.2026.1510399

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