高斯整数零相关区序列集构造方法的研究  

Research on the Constructions of Gaussian Integer Zero Correlation Zone Sequence Set

作　　者：陈晓玉[1,2] 李冠敏 孔德明 李玉博[1,2] CHEN Xiaoyu;LI Guanmin;KONG Deming;LI Yubo(College of Information Science and Engineering, Yanshan University, Qinhuangdao 066004, China;Hebei Key Laboratory of Information Transmission and Signal Processing, Qinhuangdao 066004, China;College of Electrical Engineering, Yanshan University, 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 [3]燕山大学电气工程学院,秦皇岛066004

出　　处：《电子与信息学报》2019年第6期1420-1426,共7页Journal of Electronics & Information Technology

基　　金：国家自然科学基金(61601399,61501395,61501394);河北省自然科学基金(F2016203155);河北省高等学校科学研究计划(QN2016120)~~

摘　　要：该文提出两类高斯整数零相关区(ZCZ)序列集的构造方法。方法1以ZCZ序列集为基础,利用插零滤波法构造高斯整数ZCZ序列集,并给出了所构造的高斯整数ZCZ序列集度的计算方法。方法2提出了两种高斯整数正交矩阵的构造方法,进而基于正交矩阵构造最优高斯整数ZCZ序列集。该文所构造的高斯整数ZCZ序列集可以应用于准同步码多分址(QS-CDMA)、正交频分复用(OFDM)和多输入多输出(MIMO)等多种通信系统中,在抑制干扰的同时,提高系统的频谱效率。Two constructions of Gaussian integer Zero Correlation Zone (ZCZ) sequence set are researched. In Construction I, the method of zero padding is implemented on the ZCZ sequence set, and then the Gaussian integer ZCZ can be obtained by the filtering operation. Furthermore, the degree of the Gaussian integer ZCZ sequence set is calculated in this paper. In Construction II, two constructions of Gaussian integer orthogonal matrix are proposed. In addition, the optimal Gaussian integer ZCZ sequence sets are constructed based on the orthogonal matrix. The two classes of Gaussian integer ZCZ sequence sets presented in this paper can be applied to many communication systems such as Quasi-Synchronous Code Division Multiple Access (QSCDMA), Orthogonal Frequency Division Multiplexing (OFDM) and Mutiple-Input Multiple-Output (MIMO) system to suppress the interference and improve the spectrum efficiency.

关 键 词：信号处理 高斯整数 零相关区序列 度 正交矩阵 

分 类 号：TN911.2[电子电信—通信与信息系统]