具有灵活子序列数目的零相关区周期互补序列集构造法

doi:10.11959/j.issn.1000-436x.2015049

通信学报 ›› 2015, Vol. 36 ›› Issue (2): 200-203.doi: 10.11959/j.issn.1000-436x.2015049

具有灵活子序列数目的零相关区周期互补序列集构造法

李玉博¹,许成谦¹,荆楠¹,李刚¹,刘凯¹,胡皓晨²

¹ 燕山大学信息科学与工程学院，河北秦皇岛 066004
² 福建工程学院，福建福州 350000

出版日期:2015-02-25 发布日期:2017-06-27
基金资助:
国家自然科学基金资助项目;河北省自然科学基金资助项目;河北省教育厅科研计划基金资助项目;燕山大学青年教师自主研究计划基金资助项目;燕山大学博士基金资助项目

Construction of ZCZ periodic complementary sequence set with flexible subsequences

Yu-bo LI¹,Cheng-qian XU¹,Nan JING¹,Gang LI¹,Kai LIU¹,Hao-chen HU²

¹ School of Information Science ＆Engineering,Yanshan University,Qinhuangdao 066004,China
² Fujian University of Technology,Fuzhou 350000,China

Online:2015-02-25 Published:2017-06-27
Supported by:
The National Natural Science Foundation of China;The Natural Science Research Programs of Hebei Educational Committee;The Ph.D.Foundation of Yanshan University

摘要/Abstract

摘要：

研究了零相关区周期互补序列集的构造方法。基于正交矩阵，构造了一类具有灵活子序列数目的零相关区周期互补序列集，序列集参数达到理论界限。在多载波码分多址通信系统中可以根据子载波的数目灵活设定序列集中子序列数目，因此构造的ZCZ周期互补序列集具有更大的应用价值。

关键词: 多载波码分多址, 周期互补序列, 零相关区(ZCZ), 正交矩阵

Abstract:

Based on orthogonal matrices,a construction of zero-correlation zone (ZCZ) periodic complementary sequence sets are proposed.The resultant ZCZ periodic complementary sets have flexible number of subsequences.Moreover,the ZCZ periodic complementary sequence sets are optimal.ZCZ periodic complementary sequence sets with flexible subsequences are more useful in communication systems.

Key words: multi-carrier code division multiple access, periodic complementary sequences, zero correlation zone

李玉博,许成谦,荆楠,李刚,刘凯,胡皓晨. 具有灵活子序列数目的零相关区周期互补序列集构造法[J]. 通信学报, 2015, 36(2): 200-203.

Yu-bo LI,Cheng-qian XU,Nan JING,Gang LI,Kai LIU,Hao-chen HU. Construction of ZCZ periodic complementary sequence set with flexible subsequences[J]. Journal on Communications, 2015, 36(2): 200-203.

图/表 1

表1

几类ZCZ周期互补序列集构造法比较"

构造方法	序列集参数	参数达到理论界限的条件	子序列数目可否灵活设定
文献[8]	$(N M^{'}, Z) P C S_{M}^{L}$	M =N	否
文献[9]定理1	$(2 N M^{'}, Z) P C S_{M}^{2 L}$	M =N	否
文献[9]定理2	$(N M^{'}, Z) P C S_{M}^{L}$	M =N	否
文献[10]	$(2 N M^{'}, Z) P C S_{M}^{2 L}$	M =N	否
本文定理1 gcd(N₁ ,N₂ ) =1时	$(K N_{2}, N_{1}) P C S_{K}^{N_{1} N_{2}}$	gcd(N ₁,N₂) ＞1	是
本文定理1 gcd(N₁ ,N₂ ) ＞1时	$(K N_{2}, N_{1} - 1) P C S_{K}^{N_{1} N_{2}}$	gcd(N ₁,N₂) ＞1，N₂ ＜N₁ ?1	是

表1

参考文献 10

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具有灵活子序列数目的零相关区周期互补序列集构造法

Construction of ZCZ periodic complementary sequence set with flexible subsequences

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