Constructions of Gaussian Integer Periodic Complementary Sequences Based on Difference Families

被引:2
|
作者
Liu Tao [1 ]
Xu Chengqian [1 ]
Li Yubo [1 ]
机构
[1] Yanshan Univ, Sch Informat Sci & Engn, Qinhuangdao 066004, Hebei, Peoples R China
基金
中国国家自然科学基金;
关键词
Gaussian integer sequence; Difference family; Periodic complementary; Complementary pair; SETS;
D O I
10.11999/JEIT180646
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
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.
引用
收藏
页码:1167 / 1172
页数:6
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