信号的并元移位、循环移位及其沃尔什变换域的谱关系早已为人们所熟知。本文根据文献[1][2]中提出的沃尔什阵的所有可能排列问题,引入了沃尔什移位。当信号发生这一类特定形式的移位时,其沃尔什变换域的谱点值与移位前的谱点值完全一样,只不过其谱点位置发生了相应的置换而已。 本文找出了生成各阶沃尔什移位的递归方法。根据给定的沃尔什移位,可以导出一个循环可逆的闭合环,同时得到相应的谱点移位。各闭合环之间,还能进行随意对应的相乘运算,从而产生出新的闭合环(即另外一些沃尔什移位与谱点关系)。 It is well-known that the signal correlations such as parallel shift, cyclic shift and their Walsh transform domain. This paper introduces the Walsh shift based on all possible permutations of the Walsh matrix proposed in [1] [2]. When a particular type of shift occurs in a signal of this type, the spectral points of the Walsh transform domain are exactly the same as those of the pre-shift spectral values, except that their spectral positions have been replaced accordingly. This paper finds a recursive method of generating Walsh shifts of every order. Given a given Walsh shift, we can derive a loop that is reversible and closed, yielding the corresponding spectral shift. Between the closed rings, but also for random multiplication, resulting in a new closed loop (that is, some Walsh shift and spectral points).