The Character of Multiple Affine Pseudoframes with Filter Banks Based on a Pyramid Decomposition Scheme
In recent years, frames have been the focus of active research, both in theory and applications. In this paper, the notion of multiple affine pseudoframes for subspaces of space is introduced. The concept of a generalized multiresolution structure(GMRS) is proposed. The sufficient condition for the existence of a class of multiple pseudoframes with filter banks is obtained by virtue of a generalized multiresolution structure. An approach for constructing one GMRS of Paley-Wiener subspaces of is presented based on the pyramid decomposition scheme The characteristics of affine pseudoframes for subspaces of space is provided.
T. Q. Zhang "The Character of Multiple Affine Pseudoframes with Filter Banks Based on a Pyramid Decomposition Scheme", Key Engineering Materials, Vols. 439-440, pp. 1111-1116, 2010