The Characters of Multiple Affine Quarternary Frames with Quarternary Filter Functions

摘要

Frames have become the field of active research, both in theory and in applications. In the work, the notion of quarter nary affine pseudoframes is introduced and the notion of a quart ernary generalized multiresolution structure (GMRS) is introdu ced. An approach for designing one GMRS of Paley-Wiener su bspaces ofzf(#4) is provided. The sufficient condition for the existence of a sort of affine pseudoframes with filter banks is obtained by virtue of a generalized multiresolution structure. The pyramid decomposition scheme is obtained based on such a generalized multiresolution structure. A method for designing a sort of affine quarternary dual frames in four-imensional space is proposed.