Physical Meaning of Dyadic Shift in the Theory of Walsh Functions
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摘要: 并元移位的概念在沃尔什函数的理论中有着重要的作用,但是,至今为止,未见有人对它的物理意义做出合理的解释.从复制理论的角度出发,在简要介绍复制理论的基础上,通过研究复制序列的位置相关性,揭示了并元移位实际上是一种特殊的距离定义,从而较为深刻地解释了并元移位概念的物理意义.Abstract: The concept of dyadic shift plays an important role in the theory of Walsh functions, its physical meaning is however not get clear. To get a clear understanding of the physical meaning of dyadic shift, some basic concepts of copy theory are briefly introduced first. On the above basis, it is revealed by discussing the position correlation of copy sequences that dyadic shift is in fact a special distance.
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Key words:
- hamming distance /
- correlation functions /
- sequences /
- dyadic correlative distance /
- dyadic shift /
- Walsh function /
- copy theory
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