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

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.