零相关区高斯整数序列集构造法

doi:10.11959/j.issn.1000-436x.2017179

通信学报 ›› 2017, Vol. 38 ›› Issue (9): 25-30.doi: 10.11959/j.issn.1000-436x.2017179

零相关区高斯整数序列集构造法

李玉博,孙嘉安,荆楠

燕山大学信息科学与工程学院，河北秦皇岛 066004

修回日期:2017-06-28 出版日期:2017-09-01 发布日期:2017-10-18
作者简介:李玉博（1985-），男，河北衡水人，博士，燕山大学副教授、硕士生导师，主要研究方向为CDMA无线通信技术、序列设计、信号波形设计。|孙嘉安（1992-），女，河北秦皇岛人，燕山大学硕士生，主要研究方向为无线通信、序列设计。|荆楠（1978-），女，黑龙江哈尔滨人，燕山大学副教授，主要研究方向为时变稀疏信号处理。
基金资助:
国家自然科学基金资助项目(61501395);国家自然科学基金资助项目(61671402);河北省自然科学基金资助项目(F2015203204);河北省自然科学基金资助项目(F2016203176);燕山大学青年教师自主研究计划基金资助项目(16LGA009)

Construction of zero correlation zone Gaussian integer sequence set

Yu-bo LI,Jia-an SUN,Nan JING

School of Information Science ＆Engineering,Yanshan University,Qinhuangdao 066004,China

Revised:2017-06-28 Online:2017-09-01 Published:2017-10-18
Supported by:
The National Natural Science Foundation of China(61501395);The National Natural Science Foundation of China(61671402);The Natural Science Founda-tion of Hebei Province(F2015203204);The Natural Science Founda-tion of Hebei Province(F2016203176);The Independent Research Programs for Young Teachers of Yanshan University(16LGA009)

摘要/Abstract

摘要：

研究了具有零相关区的高斯整数序列集构造方法。该方法基于二元正交矩阵，首先利用插零法构造出具有零相关区的三元序列集。然后利用完备高斯整数序列进行滤波，从而将三元序列变换成高斯整数序列且保持序列相关函数值在零相关区内为0，得到的零相关区高斯整数序列集参数达到或几乎达到Tang-Fan-Matsufuji理论界。

关键词: 高斯整数序列, 零相关区(ZCZ), 正交矩阵, 完备序列

Abstract:

The construction of zero correlation zone (ZCZ) Gaussian integer sequence set was researched.Based on binary orthogonal matrices,ZCZ ternary sequence sets were constructed by adding zeros at first.Then the ternary ZCZ squences were transformed into Gaussian integer sequences by using a perfect Gaussian integer sequence without changing the ideal autocorrelation functions and crosscorrelation functions in the zero correlation zone.The proposed ZCZ Gaussian integer sequence sets are optimal or almost optimal with respect to the Tang-Fan-Matsufuji bound.

Key words: Gaussian integer sequence, zero correlation zone (ZCZ), orthogonal matrix, perfect sequence

中图分类号:

TN911.2

李玉博,孙嘉安,荆楠. 零相关区高斯整数序列集构造法[J]. 通信学报, 2017, 38(9): 25-30.

Yu-bo LI,Jia-an SUN,Nan JING. Construction of zero correlation zone Gaussian integer sequence set[J]. Journal on Communications, 2017, 38(9): 25-30.

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零相关区高斯整数序列集构造法

Construction of zero correlation zone Gaussian integer sequence set

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