基于完全非线性函数的最优跳频序列族构造  

Construction of optimal family of frequency-hopping sequences based on perfect nonlinear function

作　　者：刘方[1] 彭代渊[1] 

机构地区：[1]西南交通大学信息科学与技术学院,成都610031

出　　处：《计算机应用》2009年第9期2437-2438,2458,共3页journal of Computer Applications

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

摘　　要：基于完全非线性函数,构造了一类新的跳频序列族。根据完全非线性函数的性质,证明了这些跳频序列具有良好的汉明自相关和汉明互相关特性。利用不同的完全非线性函数,可以得到不同的并且具有最优汉明相关性能的跳频序列族。A new family of frequency-hopping sequences was constructed based on perfect nonlinear function. It was proved that these sequences had good Hamming auto-correlation and cross-correlation properties according to the properties of perfect nonlinear function. Based upon different perfect nonlinear functions, different frequency-hopping sequence families with optimal Hamming correlation property could be obtained.

关 键 词：跳频序列 汉明自相关 汉明互相关 最优序列族 完全非线性函数 

分 类 号：TN914.4[电子电信—通信与信息系统] TP393[电子电信—信息与通信工程]