新的互正交互补序列集构造  

New construction of mutually orthogonal complementary sequence sets

作　　者：刘凯[1,2] 孟凡飞 彭佩栋 LIU Kai;MENG Fanfei;PENG Peidong(School of Information Science and Engineering,Yanshan University,Qinhuangdao 066004,China;Hebei Key Laboratory of Information Transmission and Signal Processing,Qinhuangdao 066004,China)

机构地区：[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

出　　处：《通信学报》2024年第9期144-152,共9页Journal on Communications

基　　金：河北省自然科学基金资助项目(No.F2023203066);国家自然科学基金资助项目(No.62241110);河北省重点实验室基金资助项目(No.202250701010046)。

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。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：互正交互补序列集 系数仿酉矩阵 仿酉矩阵 峰均功率比 

分 类 号：TN911.2[电子电信—通信与信息系统]