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。
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.
作者
李玉博
孙嘉安
荆楠
LI Yu-bo;SUN Jia-an;JING Nan(School of Information Science & Engineering, Yanshan University, Qinhuangdao 066004, China)
出处
《通信学报》
EI
CSCD
北大核心
2017年第9期25-30,共6页
Journal on Communications
基金
国家自然科学基金资助项目(No.61501395
No.61671402)
河北省自然科学基金资助项目(No.F2015203204
No.F2016203176)
燕山大学青年教师自主研究计划基金资助项目(No.16LGA009)~~
关键词
高斯整数序列
零相关区(ZCZ)
正交矩阵
完备序列
Gaussian integer sequence
zero correlation zone (ZCZ)
orthogonal matrix
perfect sequence
