二元尺度函数的正交性

The Orthonormality of Two-Variate Scaling Functions

中文关键词:  尺度函数  Cohen准则  正交性  非诱导滤波

英文关键词:scaling function  Cohen criterion  orthonormality  non-induced filters.

中文摘要:

      本文从非诱导的二维正交滤波的一类零点出发，构造紧集Ｋ，利用Ｃｏｈｅｎ准则，得到非诱导滤波对应的（Ａ，ｈ）尺度函数正交的一个充分条件，并构造二维正交滤波的例子说明其应用．

英文摘要:

      In this paper we prove a sufficient condition for (A ,h)-scaling functions with bidimensional noninduced filters. We start from a special zero-sets of the filters and construct the compact set K , and obtain the proof by using Cohen criterion. Several examples are provided to illustrate the general theory.