二元理想自相关序列的互相关性

摘要

对于奇数n，研究了Welch—Gong（WG）序列与Hyperoval序列（及其某一采样序列）间的互相关函数以及Dillon—D0bbertin（DD）采样序列和Hyperoval序列间的互相关函数，研究表明，WG序列和Hyperoval序列（及1／（k-1）采样序列）间的互相关函数和采样间隔为2^k＋1时的DD序列和Hyperoval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．%For odd n, the crosscorrelation functions between Welch-Gong（WG） sequences and Hyperoval sequences（decimated Hyperoval sequences with one particular exponent） or that of decimated Dillon- Dobbertin （DD） sequences and Hyperoval sequences are investigated. In this correspondence, it shows that the calculations of the crosscorrelation functions between Welch- Gong sequences and Hyperoval sequences（a 1/（ k -1） - decimated Hyperoval sequences） or that of a 2^k ＋ 1- decimated Dillon- Dobbertin sequences and Hyperoval sequences are related to the crosscorrelation between m - sequences and their decimations.