许成谦,,
李玉博
1.燕山大学信息科学与工程学院 ??秦皇岛 ??066004
2.河北省信息传输与信号处理重点实验室 ??秦皇岛 ??066004
基金项目:国家自然科学基金项目(61501395, 61671402)
详细信息
作者简介:刘涛：女，1987年生，博士生，研究方向为序列设计
许成谦：男，1961年生，教授，博士生导师，研究方向为编码理论，密码学，信号设计
李玉博：男，1985年生，副教授，硕士生导师，研究方向为序列设计，编码理论
通讯作者:许成谦 cqxu@ysu.edu.cn
中图分类号:TN911.2计量
文章访问数:1071
HTML全文浏览量:400
PDF下载量:41
被引次数:0
出版历程
收稿日期:2018-07-02
修回日期:2018-12-17
网络出版日期:2019-01-07
刊出日期:2019-05-01
Constructions of Gaussian Integer Periodic Complementary Sequences Based on Difference Families
Tao LIU,Chengqian XU,,
Yubo LI
1. School of Information Science & Engineering, Yanshan University, Qinhuangdao 066004, China
2. Hebei Key Laboratory of Information Transmission and Signal Processing, Qinhuangdao 066004, China
Funds:The National Natural Science Foundation of China (61501395, 61671402)
摘要
摘要:该文给出了基于差族的高斯整数互补序列构造方法。利用差族与互补序列之间的联系，首先推导出高斯整数互补序列存在的充分条件，进而直接构造了阶数为2的高斯整数互补序列。为进一步增加高斯整数互补序列数目，又利用映射方法构造了阶数为4的高斯整数互补序列。同传统的2元互补序列相比，高斯整数互补序列的存在数目很多，因此该文方法可以为通信系统提供大量的互补序列。
关键词:高斯整数序列/
差族/
周期互补/
互补序列对
Abstract:Constructions of Gaussian integer periodic complementary sequences are presented in this paper. Based on the relationship between periodic complementary sequences and difference families, the sufficient condition of the existence of Gaussian integer periodic complementary sequences is proposed at first, then Gaussian integer periodic complementary sequences with degree 2 are constructed directly. To extend the number of Gaussian integer complementary sequences, Gaussian integer complementary sequences with degree 4 are constructed based on mappings. Compared with binary complementary sequences, there are more Gaussian integer complementary sequences, as a result, the presented methods will propose an abundance of complementary sequences for communication systems.
Key words:Gaussian integer sequence/
Difference family/
Periodic complementary/
Complementary pair
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