Evaluation and Characters of Dual Binary Pseudoframes with Filter Functions

The frame theory has been one of powerful tools for researching into wavelets. In the article, the notion of affine bivariate pseudoframes is introduced. The concept of a bivariate generalized multiresolution analysis is developed. A novel approach for constructing one GMRA of Paley-Wiener subspaces of) (2 2 R L is presented. The sufficient condition for the existence of a class of bivariate pseudoframes with filter banks is obtained by virtue of a generalized multiresolution analysis. The pyramid decomposition scheme is provided based on such a a generalized multiresolution analysis.