电子学报 ›› 2018, Vol. 46 ›› Issue (3): 755-760.DOI: 10.3969/j.issn.0372-2112.2018.03.034

• 学术论文 • 上一篇    下一篇

最佳及几乎最佳高斯整数ZCZ序列集的构造

刘凯, 陈盼盼   

  1. 燕山大学信息科学与工程学院, 河北秦皇岛 066004
  • 收稿日期:2016-12-01 修回日期:2017-04-11 出版日期:2018-03-25
    • 作者简介:
    • 刘凯,女,1977年生于黑龙江齐齐哈尔.现为燕山大学信息科学与工程学院副教授、硕士生导师.研究方向为无线通信编码理论.E-mail:liukai@ysu.edu.cn;陈盼盼,女,1991年生于河北省衡水市.现为燕山大学信息科学与工程学院硕士研究生.研究方向为扩频序列设计.E-mail:ppchen0@163.com
    • 基金资助:
    • 国家自然科学基金青年基金 (No.61201263; No.61601399); 燕山大学基础研究专项 (No.16LGA009)

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

LIU Kai, CHEN Pan-pan   

  1. School of Information Science and Engineering, Yanshan University, Qinhuangdao, Hebei 066004, China
  • Received:2016-12-01 Revised:2017-04-11 Online:2018-03-25 Published:2018-03-25
    • Supported by:
    • Youth Fund of National Natural Science Foundation of China (No.61201263, No.61601399); Basic Research Project of Yanshan University (No.16LGA009)

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.

关键词: 高斯整数序列, 零相关区, 过滤操作, 完美序列, 正交幅度调制(QAM)序列

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.

Key words: Gaussian integer sequence, zero correlation zone (ZCZ), filtering operation, perfect sequence, quadrature amplitude modulation (QAM) sequence

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