二维零相关区周期互补序列偶及其理论界的研究  

Study on two-dimension periodic complementary sequence pair with zero correlation zone and its bound

作　　者：李刚[1] 许成谦[1] 刘凯[1] 王雪原[2] 李季辉[1] 

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]燕山大学图书馆,河北秦皇岛066004

出　　处：《燕山大学学报》2011年第1期81-86,共6页Journal of Yanshan University

基　　金：国家自然科学基金资助项目(60872061);河北省教育厅资助科研项目(2010286);秦皇岛市科学技术研究与发展计划项目(201001A049);燕山大学博士基金资助项目(B440)

摘　　要：为了给通信系统提供更多的最佳离散信号,提出了一种新的最佳离散信号,即二维零相关区周期互补序列偶,研究了二维零相关区周期互补序列偶的变换性质,利用矩阵秩的不等式推导出了二维零相关区周期互补序列偶的理论界。基于循环左移算子,以缩小零相关区为代价,给出了一种扩展二维零相关区周期互补序列偶集的方法,该方法可以为通信系统提供大规模的信号集。For providing more perfect discrete signal applied in communication system,a new kind of perfect discrete signal is proposed.It is two-dimension periodic complementary sequence pair with zero correlation zone.The transformation properties of two-dimension periodic complementary sequence pair with zero correlation zone are studied.The bound on two-dimension periodic complementary sequence pair with zero correlation zone is given by applying inequation of matrix rank.And the method of extension of set size of two-dimension periodic complementary sequence pair set with zero correlation zone is presented based on cyclic left shift operator,which enlarges the set size at the cost of decreasing width of zero correlation zone.This approach can provide signal set with large set size for communication system.

关 键 词：最佳离散信号 序列偶 周期互补序列偶 零相关区 界 

分 类 号：TN911.22[电子电信—通信与信息系统]