一类具有最优平均汉明相关特性的跳频序列族  

A Class of Frequency-Hopping Sequence Family with Optimal Average Hamming Correlation Property

作　　者：刘方[1] 彭代渊[1] 

机构地区：[1]西南交通大学信息编码与传输四川省重点实验室,成都610031

出　　处：《电子与信息学报》2010年第5期1257-1261,共5页Journal of Electronics & Information Technology

基　　金：国家自然科学基金(60872015;60572142);四川省应用基础研究计划(2006J13-112)资助课题

摘　　要：平均汉明相关是评价跳频序列性能的重要判据之一。该文基于模p的高次剩余构造了一类长度为p2,序列族的大小为(p?1)2的跳频序列族。该跳频序列族的平均汉明自相关值为0,平均汉明互相关值为1,关于平均汉明相关理论界是最优的。The average Hamming correlation is an important performance indicator of the frequency hopping sequences. Based on power residue module p, a class of frequency-hopping sequence family with length of sequences being p2 and family size （p-1）2 is constructed in this paper. It is shown that the average Hamming autocorrelation of the new frequency hopping sequence family is 0, and the average Hamming crosscorrelation is 1. The family is optimal with respect to the average Hamming correlation bound.

关 键 词：跳频通信 跳频序列族 平均汉明相关 平均汉明相关界 高次剩余 

分 类 号：TN914.43[电子电信—通信与信息系统]