• 中国计算机学会会刊
  • 中国科技核心期刊
  • 中文核心期刊

J4 ›› 2008, Vol. 30 ›› Issue (4): 128-130.

• 论文 • 上一篇    下一篇

二元m序列的五值互相关函数

周敏 周璇   

  • 出版日期:2008-04-01 发布日期:2010-05-19

  • Online:2008-04-01 Published:2010-05-19

摘要:

本文证明了当n=2m(m≥3,m是奇数)、采样因子d=2^m+3时,二元m序列与其采样序列的互相关函数Cd(t)必取集合{-1,3·2^m-1,2^m+1-1,2^m-1,-2^m-1}中的每一个 值,并给出了它们各自的分布。

关键词: m序列 互相关函数 采样因子

Abstract:

In this paper we prove the crosscorrelation function Ca (t) of binary m-sequences and their d-decimation sequence must take every value of the set (- 1,3 · 2^m- 1,-2^m+1 - 1,2^m - 1, - 2^m- 1 } , when n= 2m and odd m ≥ 3 with the decimation factor d= 2^m + 3, and present the respective distrib  utions of these crosscorrelation values.

Key words: m-sequence, crosscorrelation function, decimation factor