GMW序列和WG序列及WG序列间的互相关特性  

Cross-correlation properties between GMW and WG sequences and that of WG sequences

作　　者：佟鑫[1] 温巧燕[1] 

机构地区：[1]北京邮电大学理学院,北京100876

出　　处：《通信学报》2007年第7期118-122,共5页Journal on Communications

基　　金：国家自然科学基金资助项目(60373059);国家高技术研究发展计划("863"计划)基金资助项目(2006AA01Z419);国家自然科学基金重大研究计划基金资助项目(90604023);教育部高等学校博士点基金资助项目(20040013007)~~

摘　　要：对于奇数n,研究了Gordon-Mills-Welch(GMW)序列与Welch-Gong(WG)序列(及其某一采样序列)间的互相关函数以及WG序列间的互相关函数。研究表明:GMW序列与WG序列(及其某一采样序列)间的互相关函数以及WG序列间的互相关函数最终均与m-序列与其采样序列间的互相关函数相关;并且在一定条件下,WG序列间的互相关函数可为3-值或5-值的。另外,给出了GMW序列与WG序列间互相关函数的最大峰值。For odd n, the cross-correlations between Gordon-Mills-Welch （GMW） sequences and Welch-Gong （WG） sequences （decimated WG sequences with one particular exponent） and that of WG sequences were investigated. It shows that the calculations of the cross-correlation between GMW sequences and WG sequences （decimated WG sequences with one particular exponent） and that of WG sequences were all related to the cross-correlation of m-sequences and their decimations. Moreover, the cross-correlation of WG sequences can be 3-valued or 5-valued under a certain condition. Furthermore, the maximum magnitude of the cross-correlation between GMW sequences and WG sequences were given.

关 键 词：理想自相关序列 Gordon-Mills-Welch序列 Welch-Gong序列 采样 互相关函数 

分 类 号：TN918.1[电子电信—通信与信息系统]