新的互正交互补序列集构造

刘凯; 孟凡飞; 彭佩栋

doi:10.11959/j.issn.1000-436x.2024156

您当前的位置：

首页 >

文章列表页 >

新的互正交互补序列集构造

学术论文 | 更新时间：2024-10-10

- 新的互正交互补序列集构造
- New construction of mutually orthogonal complementary sequence sets
- 通信学报 2024年45卷第9期页码：144-152
- 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：
  
  [ "刘凯（1977- ），女，黑龙江齐齐哈尔人，博士，燕山大学教授、硕士生导师，主要研究方向为无线通信编码理论。" ]
  [ "孟凡飞（2000- ），男，山东潍坊人，燕山大学硕士生，主要研究方向为序列设计与编码理论。" ]
  [ "彭佩栋（1998- ），男，河南安阳人，燕山大学硕士生，主要研究方向为序列设计与编码理论。" ]
- 基金信息：
  
  河北省自然科学基金资助项目(F2023203066);国家自然科学基金资助项目;The National Natural Science Foundation of China(62241110);河北省重点实验室基金资助项目;The Key Laboratory Project of Hebei Province(202250701010046)
- DOI：10.11959/j.issn.1000-436x.2024156
  中图分类号： TN911.2
- 收稿日期：2024-02-18，
  
  修回日期：2024-06-28，
  
  纸质出版日期：2024-09-25
- 稿件说明：
移动端阅览
刘凯,孟凡飞,彭佩栋.新的互正交互补序列集构造[J].通信学报,2024,45(09):144-152.

LIU Kai,MENG Fanfei,PENG Peidong.New construction of mutually orthogonal complementary sequence sets[J].Journal on Communications,2024,45(09):144-152.
刘凯,孟凡飞,彭佩栋.新的互正交互补序列集构造[J].通信学报,2024,45(09):144-152. DOI： 10.11959/j.issn.1000-436x.2024156.

LIU Kai,MENG Fanfei,PENG Peidong.New construction of mutually orthogonal complementary sequence sets[J].Journal on Communications,2024,45(09):144-152. DOI： 10.11959/j.issn.1000-436x.2024156.

摘要

针对互正交互补序列集（MOCSS）设计方法的局限性和构造参数的不足，提出了一种基于仿酉矩阵的MOCSS构造方法。该方法引入系数仿酉矩阵的新概念，并通过结合矩阵乘积、克罗内克积和矩阵迭代技术，构造了3类不同阶数的仿酉矩阵。利用仿酉矩阵与MOCSS之间的等价性，开发了一系列参数选择灵活的多相MOCSS，补充了现有文献设计结果。考虑到多载波码分多址系统峰均功率比（PAPR）抑制问题，进一步利用布尔函数设计了一种具有低列向量PAPR特性的系数仿酉矩阵。实验结果表明，采用这类系数仿酉矩阵构造的MOCSS，其列序列PAPR有效控制在2以内的范围，同时保持了码容量和长度的灵活性，为系统提供了多样化的信号选择。

Abstract

To address the limitations in design methods and the scarcity of construction parameters for mutual orthogonal complementary sequence set (MOCSS)

a construction method for MOCSS based on paraunitary (PU) matrices was proposed. The new concept of coefficient paraunitary (CPU) matrices was defined

and by employing matrix multiplication

Kronecker product

and matrix iteration techniques

three types of PU matrices with varying sizes were constructed. Utilizing the equivalence between PU matrices and MOCSS

a series of multi-phase MOCSS with flexible parameter selection were developed

filling the parameter gap in the existing literature. Considering the suppression of peak-to-average power ratio (PAPR) in multi-carrier code division multiple access (MC-CDMA) systems

a class of CPU matrices with low column vector PAPR characteristics was designed using Boolean functions. Experimental results demonstrate that the constructed MOCSS using such CPU matrices effectively controls the column sequence PAPR within the range of below two

while maintaining the flexibility of code capacity and length

providing a variety of signal selection options for the systems.

关键词

Keywords

references

GOLAY M J . Static multislit spectrometry and its application to the panoramic display of infrared spectra [J ] . Journal of the Optical Society of America , 1951 , 41 ( 7 ): 468 - 472 .

TSENG C C , LIU C . Complementary sets of sequences [J ] . IEEE Transactions on Information Theory , 1972 , 18 ( 5 ): 644 - 652 .

SUEHIRO N , HATORI M . N-shift cross-orthogonal sequences [J ] . IEEE Transactions on Information Theory , 1988 , 34 ( 1 ): 143 - 146 .

WANG S Q , ABDI A . MIMO ISI channel estimation using uncorrelated golay complementary sets of polyphase sequences [J ] . IEEE Transactions on Vehicular Technology , 2007 , 56 ( 5 ): 3024 - 3039 .

PATERSON K G . Generalized Reed-Muller codes and power control in OFDM modulation [J ] . IEEE Transactions on Information Theory , 2000 , 46 ( 1 ): 104 - 120 .

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 Transactions on Wireless Communications , 2015 , 14 ( 3 ): 1226 - 1236 .

李玉博 , 刘涛 , 陈晓玉 . 几乎最优二元多子集零相关区序列集构造法 [J ] . 电子与信息学报 , 2018 , 40 ( 3 ): 705 - 712 .

LI Y B , LIU T , CHEN X Y . Construction of almost optimal binary mutiple zero correlation zone sequence sets [J ] . Journal of Electronics & Information Technology , 2018 , 40 ( 3 ): 705 - 712 .

汤仁义 , 张永福 , 苏锦海 . 基于互补矩阵数据隐藏算法研究 [J ] . 通信学报 , 2007 , 28 ( 11 ): 38 - 43 .

TANG R Y , ZHANG Y F , SU J H . Complementary matrix-based algorithm for data hiding [J ] . Journal on Communications , 2007 , 28 ( 11 ): 38 - 43 .

李玉博 , 崔健 , 冯俊超 , 等 . 基于串行时分CC-CDMA的雷达通信一体化 [J ] . 通信学报 , 2023 , 44 ( 9 ): 127 - 138 .

LI Y B , CUI J , FENG J C , et al . Dual functional radar communication based on serial time division CC-CDMA [J ] . Journal on Communications , 2023 , 44 ( 9 ): 127 - 138 .

WU S W , CHEN C Y , LIU Z L . How to construct mutually orthogonal complementary sets with non-power-of-two lengths? [J ] . IEEE Transactions on Information Theory , 2021 , 67 ( 6 ): 3464 - 3472 .

TIAN L Y , LU X S , XU C Q , et al . New mutually orthogonal complementary sets with non-power-of-two lengths [J ] . IEEE Signal Processing Letters , 2021 , 28 : 359 - 363 .

KUMAR P , MAJHI S , PAUL S . A direct construction of golay complementary pairs and binary complete complementary codes of length non-power of two [J ] . IEEE Transactions on Communications , 2023 , 71 ( 3 ): 1352 - 1363 .

LIU Z L , GUAN Y L , PARAMPALLI U . New complete complementary codes for peak-to-mean power control in multi-carrier CDMA [J ] . IEEE Transactions on Communications , 2014 , 62 ( 3 ): 1105 - 1113 .

CHEN C Y , WANG C H , CHAO C C . Complete complementary codes and generalized reed-muller codes [J ] . IEEE Communications Letters , 2008 , 12 ( 11 ): 849 - 851 .

RATHINAKUMAR A , CHATURVEDI A K . Complete mutually orthogonal golay complementary sets from reed-muller codes [J ] . IEEE Transactions on Information Theory , 2008 , 54 ( 3 ): 1339 - 1346 .

SHEN B S , MENG H , YANG Y , et al . New constructions of Z-complementary code sets and mutually orthogonal complementary sequence sets [J ] . Designs, Codes and Cryptography , 2023 , 91 ( 2 ): 353 - 371 .

LIU K , LIU J W , NI J . Generalized construction of Z-complementary code sets of odd length [J ] . IEEE Signal Processing Letters , 2023 , 30 : 354 - 358 .

VAIDYANATHANM P P . Multi-rate system filter bank [M ] . Upper Saddle River : Prentice-Hall , 1993 .

DAS S , BUDIŠIN S , MAJHI S , et al . A multiplier-free generator for polyphase complete complementary codes [J ] . IEEE Transactions on Signal Processing , 2018 , 66 ( 5 ): 1184 - 1196 .

DAS S , MAJHI S , LIU Z L . A novel class of complete complementary codes and their applications for APU matrices [J ] . IEEE Signal Processing Letters , 2018 , 25 ( 9 ): 1300 - 1304 .

DAS S , MAJHI S , BUDIŠIN S , et al . A new construction framework for polyphase complete complementary codes with various lengths [J ] . IEEE Transactions on Signal Processing , 2019 , 67 ( 10 ): 2639 - 2648 .

BUTSON A T . Generalized hadamard matrices [J ] . Proceedings of the American Mathematical Society , 1962 , 13 ( 6 ): 894 - 898 .

DAS S , PARAMPALLI U , MAJHI S , et al . New optimal Z-complementary code sets based on generalized paraunitary matrices [J ] . IEEE Transactions on Signal Processing , 2020 , 68 : 5546 - 5558 .

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

用于多载波信号峰均功率比抑制的准互补序列集构造方法研究

抑制LOFDM系统PAPR非线性压扩变换算法

降低OFDM信号峰均功率比的分段线性压扩变换