最佳零相关区序列集构造法
Construction of optimal zero correlation zone sequence set
- 通信学报 2020年41卷第8期 页码：215-222
- 作者机构：
1. 燕山大学信息科学与工程学院，河北 秦皇岛 066004
2. 河北省信息传输与信号处理重点实验室，河北 秦皇岛 066004
- 作者简介：
[ "陈晓玉（1983- ），女，内蒙古赤峰人，博士，燕山大学副教授、硕士生导师，主要研究方向为序列设计、无线通信技术" ]
[ "高茜超（1994- ），女，河北唐山人，燕山大学硕士生，主要研究方向为序列设计" ]
[ "李永杰（1995- ），男，河北张家口人，燕山大学硕士生，主要研究方向为序列设计" ]
- 基金信息：国家自然科学基金资助项目(61601399)
DOI：10.11959/j.issn.1000-436x.2020175
中图分类号： TN911.2-
网络首发：2020-08，
纸质出版：2020-08-25
- 稿件说明：
移动端阅览
陈晓玉, 高茜超, 李永杰. 最佳零相关区序列集构造法[J]. 通信学报, 2020,41(8):215-222.
Xiaoyu CHEN, Xichao GAO, Yongjie LI. Construction of optimal zero correlation zone sequence set[J]. Journal on Communications, 2020, 41(8): 215-222.
陈晓玉, 高茜超, 李永杰. 最佳零相关区序列集构造法[J]. 通信学报, 2020,41(8):215-222. DOI： 10.11959/j.issn.1000-436x.2020175.
Xiaoyu CHEN, Xichao GAO, Yongjie LI. Construction of optimal zero correlation zone sequence set[J]. Journal on Communications, 2020, 41(8): 215-222. DOI： 10.11959/j.issn.1000-436x.2020175.
摘要
基于完备序列和正交序列集，研究了零相关区序列集的构造方法。借助有限域上构造方法的思想，实现了最佳零相关区序列集的构造，且通过改变集合O和集合R，生成多个移位不等价零相关区序列集，扩展了序列集的数量。所提构造方法在满足
<math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>p</mi><mo>=</mo><mfrac> <mi>Z</mi> <mi>N</mi> </mfrac> </math>
或
<math xmlns="http://www.w3.org/1998/Math/MathML"> <msup> <mi>p</mi> <mi>n</mi> </msup> <mo>=</mo><mfrac> <mi>Z</mi> <mi>N</mi> </mfrac> </math>
的条件下，其中p为素数，零相关区长度可以灵活选择，以满足不同系统对信道时延的要求。
Abstract
The construction of zero correlation zone (ZCZ) sequence set was researched based on perfect sequences and orthogonal sequence set.With the method of constructing on finite field
the optimal zero correlation zone sequence sets were constructed
by changing the set O and R
multiple shift distinct ZCZ sequence sets could be obtained and the number of sets could be expended.Through the constructions
the length of ZCZ can be chosen flexibly to meet the requirements of different systems for channel delay under the condition of
<math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>p</mi><mo>=</mo><mfrac> <mi>Z</mi> <mi>N</mi> </mfrac> </math>
or
<math xmlns="http://www.w3.org/1998/Math/MathML"> <msup> <mi>p</mi> <mi>n</mi> </msup> <mo>=</mo><mfrac> <mi>Z</mi> <mi>N</mi> </mfrac> </math>
where p is a prime.
关键词
Keywords
references
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