最佳及几乎最佳高斯整数ZCZ序列集的构造

doi:10.3969/j.issn.0372-2112.2018.03.034

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

最佳及几乎最佳高斯整数ZCZ序列集的构造

刘凯, 陈盼盼

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

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/Abstract

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.

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

中图分类号:

TN911.2

刘凯, 陈盼盼. 最佳及几乎最佳高斯整数ZCZ序列集的构造[J]. 电子学报, 2018, 46(3): 755-760.

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.

参考文献

[1] HUBER Klaus.Codes over Gaussian integer[J].IEEE Transactions on Information Theory,1994,40(1):207-216.
[2] LEE C D.Perfect Gaussian integer sequences of odd period[J].IEEE Signal Processing Letters,2015,22(7):881-885.
[3] LUSINA P,SHAVGULIDZE S,BOSSERT M.Space-time block factorization codes over Gaussian integers[J].IEE Proceedings-Communications,2004,151(5):415-421.
[4] CHANG H H,LI C P,LEE C D,et al.Perfect Gaussian integer sequences of arbitrary composite length[J].IEEE Transactions on Information Theory,2015,61(7):4107-4115.
[5] YANG Yang,TANG Xiao-hu,ZHOU Zheng-chun.Perfect Gaussian integer sequences of odd prime length[J].IEEE Signal Processing Letters,2012,19(19):615-618.
[6] 陈晓玉,许成谦,李玉博.新的完备高斯整数序列的构造方法[J].电子与信息学报,2014,36(9):2081-2085. CHEN Xiao-yu,XU Cheng-qian,LI Yu-bo.New constructions of perfect Gaussian integer sequences[J].Journal of Electronics & Information Technology,2014,36(9):2081-2085.(in Chinese)
[7] LEE C D,LI C P,CHANG H H,et al.Further results on degree-2 perfect Gaussian integer sequences[J].LET Communications,2016,10(12):1542-1552.
[8] PENG Xiu-peng,REN Jia-dong,XU Cheng-qian,et al.Perfect Gaussian integer sequences of degree-4 using difference sets[J].IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences,2016,E99-A(12):2604-2608.
[9] LI Yu-bo,XU Cheng-qian.Zero correlation zone sequence sets over the 8-QAM+constellation[J].IEEE Communications Letters,2012,16(11):1844-1847.
[10] ZENG Fan-xin,ZHANG Zhen-yu.16-QAM sequences with zero correlation zone from the known quadriphase ZCZ sequences[J].IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences,2011,94-A(11):2466-2471.
[11] CHEN Xiao-yu,KONG De-ming,XU Cheng-qian,et al.Construction of Gaussian integer sequences with zero correlation zone[J].IEICE Transactions on Fundamentals of Electronics Communications and Computer Sceiences,2016,E99-A(6):1260-1263.
[12] LI Yu-bo,XU Cheng-qian.A new construction of zero correlation zone Gaussian integer sequence sets[J].IEEE Communications Letters,2016,20(12):2418-2421.
[13] 刘凯,姜昆.交织法构造高斯整数零相关区序列集[J].电子与信息学报,2017,39(2):328-334. LIU Kai,JIANG Kun.Construction of Gaussian integer sequence sets with zero correlation zone based on interleaving technique[J].Journal of Electronics & Information Technology,2017,39(2):328-334.(in Chinese)
[14] LIU Y C,CHEN C W,Su Y T.New constructions of zero-correlation zone sequences[J].IEEE Transactions on Information Theory,2013,59(8):4994-5007.
[15] TSAI L S,SU Y T.Transform domain approach for sequence design and its applications[J].IEEE Journal on Selected Areas in Communications,2006,24(1):75-83.
[16] TANG Xiao-hu,FAN Ping-zhi,MATSUFUJI S.Lower bounds on correlation of spreading sequence set with low or zero correlation zone[J]. Electronics Letters,2000,36(6):551-552.

最佳及几乎最佳高斯整数ZCZ序列集的构造

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

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 12

编辑推荐

Metrics

[1]	刘凯, 倪佳, 焦佳旺, 李玉博. 最优高斯整数周期组间互补序列集的构造[J]. 电子学报, 2022, 50(8): 1866-1874.
[2]	刘凯, 倪佳. 基于循环差集的最佳高斯整数序列构造[J]. 电子学报, 2021, 49(8): 1474-1479.
[3]	李航, 任炯炯, 陈少真. 减轮LEA密码算法的积分攻击[J]. 电子学报, 2020, 48(1): 17-27.
[4]	刘凯, 马国斌, 陈盼盼. 基于分圆类的完备高斯整数序列构造[J]. 电子学报, 2019, 47(4): 806-811.
[5]	任炯炯, 张仕伟, 李曼曼, 陈少真. 基于SAT的ARX不可能差分和零相关区分器的自动化搜索[J]. 电子学报, 2019, 47(12): 2524-2532.
[6]	李玉博, 许成谦, 刘凯. 一类四元零相关区非周期互补序列集构造法[J]. 电子学报, 2015, 43(9): 1800-1804.
[7]	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.
[8]	李玉博, 许成谦, 李刚, 刘凯. 四元二维零相关区阵列集构造法[J]. 电子学报, 2012, 40(10): 2047-2051.
[9]	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.
[10]	李兆斌;蒋挺;周正. ZCZ屏蔽阵列偶集的研究[J]. 电子学报, 2009, 37(3): 489-493.
[11]	黎薇萍;洪伟;陶海红;廖桂生. 用于分布式天基SAR系统低速运动目标检测的空时波形优化设计[J]. 电子学报, 2008, 36(12): 2383-2388.
[12]	江文峰, 曾祥勇, 胡磊, 刘合国. 一类零相关区序列集构造方法的改进[J]. 电子学报, 2005, 33(8): 1476-1479.