Construction of Optimal and Almost Optimal Gaussian Integer Sequence Sets with Zero Correlation Zone

LIU Kai; CHEN Pan-pan

doi:10.3969/j.issn.0372-2112.2018.03.034

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Construction of Optimal and Almost Optimal Gaussian Integer Sequence Sets with Zero Correlation Zone

更新时间：2025-07-16

- Construction of Optimal and Almost Optimal Gaussian Integer Sequence Sets with Zero Correlation Zone
- Acta Electronica Sinica Vol. 46, Issue 3, Pages: 755-760(2018)
- 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：10.3969/j.issn.0372-2112.2018.03.034
  CLC： TN911.2
- Published Online：25 March 2018，
  
  Published：2018
- 稿件说明：
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LIU Kai, CHEN Pan-pan. Construction of Optimal and Almost Optimal Gaussian Integer Sequence Sets with Zero Correlation Zone[J]. Acta Electronica Sinica, 2018, 46(3): 755-760.
DOI：

LIU Kai, CHEN Pan-pan. Construction of Optimal and Almost Optimal Gaussian Integer Sequence Sets with Zero Correlation Zone[J]. Acta Electronica Sinica, 2018, 46(3): 755-760. DOI： 10.3969/j.issn.0372-2112.2018.03.034.

摘要

高斯整数零相关区（ZCZ）序列集作为准同步码分多址（QS-CDMA）系统的地址序列不仅能抑制系统的多径干扰（MAI）和多址干扰（MPI），而且为系统提供高传输码率和高的频谱利用率，但目前这种地址序列的构造结果还较少，针对此问题本文提出了一种利用过滤操作构造高斯整数ZCZ序列集和完美高斯整数序列的方法.基于完美序列和周期ZCZ序列集本文获得了最佳或几乎最佳的高斯整数ZCZ序列集，同时基于完美序列构造了周期为奇数和偶数的完美高斯整数序列.本文的构造结果为高速QS-CDMA系统提供了更多的地址选择空间.

Abstract

In quasi-synchronous code-division multiple-access (QS-CDMA) system

Gaussian integer sequences with zero correlation zone (ZCZ) used as address sequences can not only suppress the multiple access interference (MAI) and the multipath interference (MPI)

but also possess higher spectrum efficiency and transmission bit rate. However

the construction of the sequences is limited at present. In order to solve the problem

this paper presents a method of constructing Gaussian integer sequence sets with ZCZ and perfect Gaussian integer sequences by filtering operation. Based on perfect sequences and periodic sequence sets with ZCZ

the optimal or almost optimal Gaussian integer ZCZ sequence sets can be obtained. Meanwhile

based on perfect sequences

a class of perfect Gaussian integer sequences with odd or even period is constructed. The achieved results of this paper provide more address selection space for high-speed QS-CDMA system.

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