二元序列偶周期相关理论界的研究  

Research on Periodic Correlation Bounds of Binary Sequence Pairs

作　　者：李琦[1] 高军萍[1] 赵晓群[2] 

机构地区：[1]河北工业大学信息工程学院 [2]同济大学电子与信息工程学院

出　　处：《河北工业大学学报》2009年第5期86-90,共5页Journal of Hebei University of Technology

基　　金：国家自然科学基金资助项目(60502016);河北省教育厅科研计划项目(2008318)

摘　　要：给出了二元序列偶在周期相关条件下的理论界.首先给出了序列偶及其自相关和互相关函数的定义,然后利用加权方法得到了序列偶数目、长度、最大周期自相关副峰和主峰值、最大周期互相关值之间应遵循的理论界.经典的二元序列理论界,如Sarwate界和Welch界均可以看成是其特例.这为设计具有良好相关特性的二元序列偶集提供了理论基础.The periodic correlation bounds of binary sequence pairs are derived. The definition of sequence pair and its autocorrelation and cross-correlation function are presented firstly. Then by using the weighting method the bounds of family size, length, maximum periodic autocorrelation sidelobe and mainlobe value, maximum periodic cross-correlation value are obtained. The previous binary sequences bounds, such as Sarwate and Welch bound can be considered as special cases of these bounds. These bounds present the theoretical foundation of designing binary sequence pairs set with good correlation properties.

关 键 词：界 周期相关 序列偶 自相关 互相关 

分 类 号：TN911[电子电信—通信与信息系统]