二元可分正交紧支集小波基的刻划

Characterization of Separable Bivariate Orthonormal Compactly Supported Wavelet Basis

本文讨论了当特征函数具有某种特殊形式时，不可分二元紧支集正交小波基的存在性问题．结论为，当特征函数为所给的形式时，不可分二元紧文集正交小波基是不存在的．

In this paper, we consider the problem of the existance of non-separablebivariate othonormal compactly supported wavelet basis when the symbol has specialform. We have reached a conclusion, when the symbol has a certain form, non-separablewavelet basis does not exist.