Construction of Optimal Gaussian Integer Periodic Inter-Group Complementary Sequence Sets

被引：0
|
作者：
Liu K. [1 ,2 ]
Ni J. [1 ,2 ]
Jiao J.-W. [1 ,2 ]
Li Y.-B. [1 ,2 ]
机构：
[1] School of Information Science and Engineering, Yanshan University, Hebei, Qinhuangdao
[2] Hebei Province Key Laboratory of Information Transmission and Signal Processing, Hebei, Qinhuangdao
来源：
Tien Tzu Hsueh Pao/Acta Electronica Sinica | 2022年 / 50卷 / 08期
关键词：
inter-group complementary sequence sets; orthogonal matrices; perfect Gaussian integer sequence; theoretical bound;
D O I：
10.12263/DZXB.20210600
中图分类号：
学科分类号：
摘要：
Based on perfect Gaussian integer sequences and orthogonal matrices, a class of optimal periodic inter-group complementary(IGC) sequence set is constructed on the Gaussian integer set, which can realize the flexible number of complementary codes and complementary code sets within any zero-correlation zone length. By designing 2-order and 3-order kernel orthogonal matrices, splicing them on the diagonal way and filtering with perfect Gaussian integer sequences, a class of orthogonal matrices of arbitrary order is obtained. By using the orthogonal matrices and perfect Gaussian integer sequences of arbitrary length, the periodic inter-group complementary sequence set can be constructed, in which the length of zero correlation zone equals to that of perfect sequence and the set parameters reach the theoretical bound. Compared with the existing literature, the construction results show that the parameters can be optimized without any restriction. IGC sequence sets can be applied to the multi-carrier code division multiple access communication system to reduce adjacent cell interference and increase user capacity. © 2022 Chinese Institute of Electronics. All rights reserved.
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页码：1866 / 1874
页数：8
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