零相关区高斯整数序列集构造法

李玉博; 孙嘉安; 荆楠

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

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零相关区高斯整数序列集构造法

学术论文 | 更新时间：2024-06-05

- 零相关区高斯整数序列集构造法
- Construction of zero correlation zone Gaussian integer sequence set
- 通信学报 2017年38卷第9期页码：25-30
- 作者机构：
  
  燕山大学信息科学与工程学院，河北秦皇岛 066004
- 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。" ]
- 基金信息：
  
  国家自然科学基金资助项目;The National Natural Science Foundation of China(61501395);国家自然科学基金资助项目;The National Natural Science Foundation of China(61671402);河北省自然科学基金资助项目;The Natural Science Founda-tion of Hebei Province(F2015203204);河北省自然科学基金资助项目;The Natural Science Founda-tion of Hebei Province(F2016203176);燕山大学青年教师自主研究计划基金资助项目;The Independent Research Programs for Young Teachers of Yanshan University(16LGA009)
- DOI：10.11959/j.issn.1000-436x.2017179
  中图分类号： TN911.2
- 网络出版日期：2017-09，
  
  纸质出版日期：2017-09-25
- 稿件说明：
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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.
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. DOI： 10.11959/j.issn.1000-436x.2017179.

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

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。

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.

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references

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