最佳零相关区序列集构造法

doi:10.11959/j.issn.1000-436x.2020175

通信学报 ›› 2020, Vol. 41 ›› Issue (8): 215-222.doi: 10.11959/j.issn.1000-436x.2020175

• 学术通信 • 上一篇

最佳零相关区序列集构造法

陈晓玉^1,²,高茜超^1,²,李永杰^1,²

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

修回日期:2020-06-28 出版日期:2020-08-25 发布日期:2020-09-05
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
基金资助:
国家自然科学基金资助项目(61601399)

Construction of optimal zero correlation zone sequence set

Xiaoyu CHEN^1,²,Xichao GAO^1,²,Yongjie LI^1,²

¹ School of Information Science ＆Engineering,Yanshan University,Qinhuangdao 066004,China
² Hebei Province Key Laboratory of Information Transmission and Signal Processing,Qinhuangdao 066004,China

Revised:2020-06-28 Online:2020-08-25 Published:2020-09-05
Supported by:
The National Natural Science Foundation of China(61601399)

摘要/Abstract

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 $p = \frac{Z}{N}$ 或 $p^{n} = \frac{Z}{N}$ 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。

关键词: 零相关区, 完备序列, 正交序列集, 移位不等价

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 $p = \frac{Z}{N}$ or $p^{n} = \frac{Z}{N}$ ,where p is a prime.

Key words: zero correlation zone, perfect sequence, orthogonal sequence set, shift distinct

中图分类号:

TN911.2

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.

图/表 1

参考文献 20

[1]	SUEHIRO N . A signal design without co-channel interference for approximately synchronized CDMA systems[J]. IEEE Journal on Selected Areas in Communications, 1994,12(5): 837-841.
[2]	CHEN H B , ZHANG R Q , ZHAI W J . Interference-free pilot design and channel estimation using ZCZ sequences for MIMO-OFDM-based C-V2X communications[J]. China Communications, 2018,15(7): 47-54.
[3]	ZHANG R X , CHENG X , MA M . Interference-avoidance pilot design using ZCZ sequences for multi-cell MIMO-OFDM systems[C]// 2012 IEEE Global Communications Conference (GLOBECOM). Piscataway:IEEE Press, 2012: 5056-5061.
[4]	TANG X H , FAN P Z , MATSUFUJI S . Lower bounds on correlation of spreading sequence set with low or zero correlation zone[J]. Electronics Letters, 2000,36(6): 551-552.
[5]	LIU Z L , GUAN Y , PARAMPALLI U . A new construction of zero correlation zone sequences from generalized Reed-Muller codes[C]// 2014 IEEE Information Theory Workshop. Piscataway:IEEE Press, 2014: 591-595.
[6]	ZHOU Z C , TANG X H , PENG D Y . New optimal quadriphase zero correlation zone sequence sets with mismatched filtering[J]. IEEE Signal Processing Letters, 2009,16(7): 636-639.
[7]	DENG X M , FAN P Z . Spreading sequence sets with zero correlationzone[J]. Electronics Letters, 2000,36(11): 993-994.
[8]	APPUSWAMY R , CHATURVEDI A . A new framework for constructing mutually orthogonal complementary sets and ZCZ sequences[J]. IEEE Transactions on Information Theory, 2006,52(8): 3817-3826.
[9]	TANG X H , MOW W H . Design of spreading codes for quasi-synchronous CDMA with intercell interference[J]. IEEE Journal on Selected Areas in Communications, 2006,24(1): 84-93.
[10]	DAS S , PARAMPALLI S , MAJHI U . Near-optimal zero correlation zone sequence sets from paraunitary matrices[C]// 2019 IEEE International Symposium on Information Theory. Piscataway:IEEE Press, 2019: 2284-2288.
[11]	TORII H , NAKAMURA M , SUEHIRO N . A new class of zero correlation zone sequences[J]. IEEE Transactions on Information Theory, 2004,50(3): 559-565.
[12]	TAKATSUKASA K , MATSUFUJI S , WATANABE Y . Ternary ZCZ sequence sets for cellular CDMA systems[J]. IEICE Transactions on Fundamentals of Electronics,Communications and Computer Sciences, 2002,E85-A(9): 2135-2140.
[13]	TANG X H , MOW W H . A new systematic construction of zero correlation zone sequences based on interleaved perfect sequences[J]. IEEE Transaction on Information Theory, 2008,54(12): 5729-5734.
[14]	ZHOU Z C , TANG X H . A new classes of sequences with zero or low correlation based on interleaving technique[J]. IEEE Transaction on Information Theory, 2008,54(9): 4267-4273.
[15]	李玉博, 许成谦 . 交织法构造移位不等价的 ZCZ/LCZ 序列集[J]. 电子学报, 2011,39(4): 796-802.
	LI Y B , XU C Q . Construction of cyclically distinct ZCZ/LCZ sequence sets based on interleaving technique[J]. Acta Electronica Sinica, 2011,39(4): 796-802.
[16]	陈晓玉, 许成谦 . 基于交织法的不等价低零相关区序列集设计[J]. 电子学报, 2013,41(5): 890-896.
	CHEN X Y , XU C Q . Construction of shift distinct sequence sets with lower zero correlation zone based on interleaving technique[J]. Acta Electronica Sinica, 2013,41(5): 890-896.
[17]	李明阳, 柏鹏, 王徐华 . 基于交织和完备序列的零相关区序列集构造方法[J]. 南京邮电大学学报(自然科学版), 2014,34(6): 52-56.
	LI M Y , BAI P , WANG X H . Construction method for zero correlation zone sequence set based on interleaving technique and perfect sequence[J]. Journal of Nanjing University of Posts and Telecommunications (Natural Science Edition), 2014,34(6): 52-56.
[18]	LI Y B , SUN J A , XU C Q . Constructions of optimal zero correlation zone aperiodic complementary sequence sets[J]. IEICE Transactions on Fundamentals of Electronics,Communications and Computer Sciences, 2017,E100-A(3): 908-912.
[19]	LIU T , LI Y B , XU C Q . Constructions of asymmetric binary ZCZ sequence sets[C]// 2017 Eighth International Workshop on Signal Design and Its Applications in Communications. Piscataway:IEEE Press, 2017: 108-111.
[20]	陈晓玉, 李冠敏, 孔德明 ,等. 高斯整数零相关区序列集构造方法的研究[J]. 电子与信息学报, 2019,41(6): 1420-1426.
	CHEN X Y , LI G M , KONG D M ,et al. Constructions of Gaussian integer ZCZ sequences set[J]. Journal of Electronics ＆ Information Technology, 2019,41(6): 1420-1426.

构造方法	初始序列	序列集参数	零相关区长度可否灵活设定	η
文献[5]	Reed-Muller码	ZCZ(2^k+1,2^n+k+2,2ⁿ)	否	η= 1
文献[6]	不匹配二元序列对	ZCZ (N,M,Z-1),N=MZ+r其中0≤r<Z	是	η= 1
文献[10]	Pu矩阵	ZCZ(M,M ²P^N,(M-1)P^N)	否	η< 1
文献[13]	完备序列和正交矩阵	ZCZ(mn,m,n-1),gcd(m,n)=1 ZCZ(mn,m,n-2),m\|n ZCZ(mn,m,n-2),n\|m	否	η< 1
文献[14]	完备序列移位序列	ZCZ (2N,2M,Z)	是	η≤ 1
文献[20]	ZCZ序列集完备高斯整数序列	ZCZ(NK,M,ZK)	否	η≤ 1
本文构造法1	完备序列正交序列集	ZCZ(NN ₀,Q,Z),Q= pN₁ Z	是	η =1
本文构造法2	完备序列正交序列集	ZCZ(NN₀,Q,Z),Q= pⁿN₁Z	是	η =1

最佳零相关区序列集构造法

Construction of optimal zero correlation zone sequence set

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