Construction of zero correlation zone Gaussian integer sequence set

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

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

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Construction of zero correlation zone Gaussian integer sequence set

Papers | 更新时间：2024-06-05

- Construction of zero correlation zone Gaussian integer sequence set
- Journal on Communications Vol. 38, Issue 9, Pages: 25-30(2017)
- 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：
- 基金信息：
- DOI：10.11959/j.issn.1000-436x.2017179
  CLC： TN911.2
- Online First：2017-09，
  
  Published：25 September 2017
- 稿件说明：
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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：

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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