素数长理想平衡四元几乎失配互补对构造  

The Constructions of Optimal Balanced Quadriphase Almost Mismatched Complementary Pairs with Prime Length

作　　者：彭秀平[1,2] 郑德亮 李红晓 PENG Xiuping;ZHENG Deliang;LI Hongxiao(School of Information Science and Engineering,Yanshan University,Qinhuangdao 066004,China;Key Laboratory of Information Transmission and Signal Processing,Hebei Province,Qinhuangdao 066004,China)

机构地区：[1]燕山大学信息科学与工程学院,秦皇岛066004 [2]河北省信息传输与信号处理重点实验室,秦皇岛066004

出　　处：《电子与信息学报》2022年第2期677-685,共9页Journal of Electronics & Information Technology

基　　金：河北省自然科学基金(F2021203040);河北省高等学校科学技术研究项目(BJ2018018,ZD2019039,QN2019133,QN2021144)。

摘　　要：当一对失配序列的所有异相自相关函数和均为同一非0整数时,称该对失配序列为几乎失配互补对。该文提出平衡4元几乎失配互补对的新类型序列,通过Gray映射证明得到了平衡的素数长4元几乎失配互补对的理论界,基于4阶分圆类,提出满足理论界的周期为素数长的理想平衡4元几乎失配互补对的构造方法。通过该文研究扩大了4元互补对的存在范围,弥补了目前已有4元互补对大多只存在偶数长度的缺陷。A pair of mismatched sequences is called an almost mismatched complementary pair if their periodic autocorrelation functions sum up to a same nonzero integer for all out-of-phase time shifts.In this paper,a new balanced quadriphase almost mismatched complementary pair is proposed,the theoretical bound of balanced quadriphase almost complementary pair with prime length is proved by Gray mapping,based on the cyclotomic classes of order 4,the optimal balanced quadriphase almost mismatched complementary pair with prime length satisfied theoretical bound is constructed.The existence of quadriphase complementary pairs are expanded and compensated the deficiency of most of the existing ones only have even length at present by investigate in this paper.

关 键 词：正交频分复用 4元几乎失配互补对 分圆类 平衡性 

分 类 号：TN911.2[电子电信—通信与信息系统]