广西师范大学学报（自然科学版） ›› 2023, Vol. 41 ›› Issue (1): 1-16.doi: 10.16088/j.issn.1001-6600.2022071801

• 综述 •    下一篇

互补序列研究进展

周正春   

  1. 西南交通大学信息科学与技术学院, 四川 成都 611756
  • 收稿日期:2022-07-18 修回日期:2022-08-15 出版日期:2023-01-25 发布日期:2023-03-07
  • 通讯作者: 周正春(1978—),男,江西九江人,西南交通大学教授,博导,2013年获全国百篇优秀博士学位论文奖,2018年入选第四批国家“青年拔尖人才”。E-mail:zzc@swjtu.edu.cn
  • 基金资助:
    国家自然科学基金重点项目(62131016)

Research Progress of Complementary Sequences

ZHOU Zhengchun   

  1. School of Information Science and Technology, Southwest Jiaotong University, Chengdu Sichuan 611756, China
  • Received:2022-07-18 Revised:2022-08-15 Online:2023-01-25 Published:2023-03-07

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摘要： 互补序列(也称为互补码)因其完美的相关性被广泛应用于通信、雷达、信息安全等领域,其与Hadamard矩阵、Reed-Muller码、差族、广义布尔函数等数学结构之间具有紧密联系。鉴于其重要理论意义和应用价值,互补序列一直是序列编码领域的研究热点,大量研究成果被报道。本文系统介绍互补序列的研究现状,重点梳理Golay序列、互补序列、互正交互补序列、Z互补序列的构造方法和参数。

关键词: 互补码, 序列设计, 通信系统, 雷达系统, Z互补码

Abstract: Due to their perfect correlation properties, complementary sequences (also called complementary codes) have been widely used in communication, radar, information security and other fields. In addition, there are deep connections between complementary sequences and mathematical structures such as Hadamard matrices, Reed-Muller codes, difference families, and generalized Boolean functions. In view of its important theoretical significance and application value, complementary sequences have been a hot research topic in the field of sequence coding, and a large number of research results have been reported. The objective of this paper is to give a well-rounded treatment of complementary sequences, focusing on the construction methods and parameters of complementary sequences, mutually orthogonal complementary sequences, and Z-complementary sequences.

Key words: complementary codes, sequence design, communication systems, radar systems, Z-complementary codes

中图分类号: 

  • TN921
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