WG序列和Hyperoval序列的互相关性研究  

Research on Cross-correlation Properties Between Welch-Gong Sequences and Hyperoval Sequences

作　　者：王慧[1] 崇金凤[1] 卓泽朋[1] 

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000

出　　处：《计算机工程》2012年第7期96-98,共3页Computer Engineering

基　　金：安徽省自然科学研究基金资助项目(KJ2011B146);安徽省淮北师范大学青年科研基金资助项目(2012xq45)

摘　　要：针对伪随机序列中的伪随机特性问题,利用从F2 n到F 2的迹函数在一点处的Walsh谱表示法,对n为奇数时的WG序列和Hyperoval序列及其采样序列间的互相关函数进行研究。分析结果表明,WG序列Hyperoval序列间的互相关函数及WG序列和采样间隔为1/(k 1)的Glynn类型Ⅱ的Hyperoval序列间的互相关函数均可转化为m-序列与其采样序列间的互相关函数。In accordance with the pseudorandom properties of pseudorandom sequences,this paper investigates the cross-correlation functions between Welch-Gong（WG） sequences and Hyperoval sequences（decimated Hyperoval sequences with one particular exponent） for odd n by using the Walsh spectrum representations of trace functions from to.In the correspondence,it shows that the calculation of the cross-correlation functions between WG sequences and Hyperoval sequences（Glynn Ⅱ of Hyperoval sequences under an-decimation） are all related to the cross-correlation functions between m-sequences and their decimations.

关 键 词：迹函数 理想自相关函数 互相关函数 WALSH谱 WG序列 Hyperoval序列 

分 类 号：TN918.1[电子电信—通信与信息系统]