Construction of Optimal Gaussian Integer Periodic Inter-Group Complementary Sequence Sets

LIU Kai; NI Jia; JIAO Jia-wang; LI Yu-bo

doi:10.12263/DZXB.20210600

您当前的位置：

首页 >

文章列表页 >

Construction of Optimal Gaussian Integer Periodic Inter-Group Complementary Sequence Sets

PAPERS | 更新时间：2025-12-08

- Construction of Optimal Gaussian Integer Periodic Inter-Group Complementary Sequence Sets
- ACTA ELECTRONICA SINICA Vol. 50, Issue 8, Pages: 1866-1874(2022)
- 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：
- 基金信息：
- DOI：10.12263/DZXB.20210600
  CLC： TN92;
- Received：11 May 2021，
  
  Revised：2021-08-16，
  
  Published：25 August 2022
- 稿件说明：
移动端阅览
刘凯,倪佳,焦佳旺等.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(08):1866-1874.

LIU Kai,NI Jia,JIAO Jia-wang,et al.Construction of Optimal Gaussian Integer Periodic Inter-Group Complementary Sequence Sets[J].ACTA ELECTRONICA SINICA,2022,50(08):1866-1874.
刘凯,倪佳,焦佳旺等.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(08):1866-1874. DOI： 10.12263/DZXB.20210600.

LIU Kai,NI Jia,JIAO Jia-wang,et al.Construction of Optimal Gaussian Integer Periodic Inter-Group Complementary Sequence Sets[J].ACTA ELECTRONICA SINICA,2022,50(08):1866-1874. DOI： 10.12263/DZXB.20210600.

摘要

本文在高斯整数集上，基于完备高斯整数序列和正交矩阵，构造了一类最优周期组间互补序列集，可实现任意长度的零相关区内互补码数量和互补码集数量的灵活选择.通过设计2阶和3阶核正交矩阵，将其对角拼接与完备高斯整数过滤，得到一类任意阶正交矩阵.利用该正交矩阵，结合任意长完备高斯整数序列，可构造零相关区与完备序列等长的周期组间互补序列集，其参数达到理论界.构造结果与已有文献比较，参数可在无条件限制下实现最优.组间互补序列集应用于多载波系统可消减邻区间的通信串扰并提升用户容量.

Abstract

Based on perfect Gaussian integer sequences and orthogonal matrices

a class of optimal periodic inter-group complementary(IGC) sequence set is constructed on the Gaussian integer set

which can realize the flexible number of complementary codes and complementary code sets within any zero-correlation zone length. By designing 2-order and 3-order kernel orthogonal matrices

splicing them on the diagonal way and filtering with perfect Gaussian integer sequences

a class of orthogonal matrices of arbitrary order is obtained. By using the orthogonal matrices and perfect Gaussian integer sequences of arbitrary length

the periodic inter-group complementary sequence set can be constructed

in which the length of zero correlation zone equals to that of perfect sequence and the set parameters reach the theoretical bound. Compared with the existing literature

the construction results show that the parameters can be optimized without any restriction. IGC sequence sets can be applied to the multi-carrier code division multiple access communication system to reduce adjacent cell interference and increase user capacity.

关键词

Keywords

references

CHEN H H , CHIU H W . Orthogonal complement codes for interference CDMA technologies [J]. IEEE Wireless Communication , 2006 , 13 ( 1 ): 68 - 79 .

SUN S Y , CHEN H H , MENG W X . A survey on complementary coded MIMO CDMA wireless communications [J]. IEEE Communication Surveys and Tutorials , 2014 , 17 ( 1 ): 52 - 69 .

LIU Z L , GUAN Y L , CHEN H H , Fractional-delay-resilient receiver design for interference-free MC-CDMA communications based on complete complementary codes [J]. IEEE Transaction on Wireless Communications , 2014 , 14 ( 3 ): 1226 - 1236 .

FAN P , YUAN W , TU Y . Z-complementary binary sequences [J]. IEEE Signal Process Letters , 2007 , 14 ( 8 ): 509 - 512 .

LI J , HUANG A P , GUIZANI M , et al . Inter-group complementary codes for interference-resistant CDMA wireless communications [J]. IEEE Transactions on Wireless Communications , 2008 , 7 ( 1 ): 166 - 174 .

李玉博 , 田立影 . 基于正交矩阵构造非周期组间互补序列集 [J]. 电子与信息学报 , 2018 , 40 ( 8 ): 2028 - 2032 .

LI Y B , TIAN L Y . Construction of inter-group complementary sequence sets based on orthogonal matrices [J]. Journal of Electronics & Information Technology , 2018 , 40 ( 8 ): 2028 - 2032 . (in Chinese)

PALASH S , SUDHAN M , HAMSAKUTTY V , et al . A direct construction of inter-group complementary code set [J]. IEEE Access , 2018 , 6 ( 2 ): 42047 - 42056 .

FENG L F , ZHOU X W , FAN P Z . A construction of inter-group complementary codes with flexible ZCZ length [J]. Journal of Zhejiang University: SCIENCE C , 2011 , 12 ( 10 ): 846 - 854 .

FENG L F , ZHOU X W , LI X Y . A general construction of inter-group complementary codes based on Z-complementary codes and perfect periodic cross-correlation codes [J]. Wireless Personal Communications , 2013 , 71 ( 1 ): 695 - 706 .

WANG L Y , ZENG X L , FAN P , et al . Novel IGC codes with inter-subset zero-correlation zone for code division multiple access [C]// IEEE/CIC International Conference on Communications in China-Workshops , Shenzhen : IEEE , 2015 : 12 - 16 .

WANG L Y , ZENG X L , WEN H . Design of inter-group complementary sequence set from interleaving Z-periodic complementary sequences [J]. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences , 2016 , E99-A( 5 ): 987 - 993 .

ZHANG Z Y , TIAN F C , ZENG F X , et al . Inter-group complementary sequence set based on interleaved periodic complementary sequences [J]. Wireless Personal Communications , 2016 , 91 ( 3 ): 1051 - 1064 .

PEI S C , CHANG K W . Arbitrary length perfect integer sequences using all-pass polynomial [J]. IEEE Signal Processing Letters , 2019 , 26 ( 8 ): 1112 - 1116 .

LI Y B , XU C Q . A new construction of zero correlation zone Gaussian integer sequence sets [J]. IEEE Communication Letters , 2016 , 20 ( 12 ): 2418 - 2421 .

KONG D M . CHEN X Y. LI Y B. Constructions of Gaussian integer periodic complementary sequences with ZCZ [J]. IECE Transactions on Fundamentals of Electronics Communications & Computer Sciences , 2017 , 100 ( 9 ): 2056 - 2060 .

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 .

LEE C D , HONG S H . Generation of long perfect Gaussian integer sequences [J]. IEEE Signal Processing Letters , 2017 , 24 ( 4 ): 515 - 519 .

CHANG K J , CHANG H H . Perfect Gaussian integer sequences of period p k with degrees equal to or less than k +1 [J]. IEEE Transactions on Communications , 2017 , 65 ( 9 ): 3723 - 3733 .

PEI S C , CHANG K W , Arbitrary length perfect integer sequences using all-pass polynomial [J]. IEEE Signal Processing Letters , 2019 , 26 ( 8 ): 1112 - 1116 .

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Adaptive Equalization Algorithm Based on Wavelet Packet Transform

Related Author

Kai LIU

Jia NI

Jia-wang JIAO

Yu-bo LI

HUANG Kui

LV Rui

Related Institution

School of Information Science and Engineering， Yanshan University

Institute of Software Chinese Academy of Sciences

Ecdav of Beijing Broadcasting Institute

Institute of SoftwareChinese Academy of SciencesBeijing 100080China

Ecdav of Beijing Broadcasting InstituteBeijing 100024China

⁰