Characteristics of Subspace Affine Pseudoframes with Filter Banks
In this work, the notion of an 3-band generalized multiresolution structure (GMS) of sub- -space L2 (R) is proposed. The characteristics of affine pseudoframes for subspaces is investigated. The construction of a GMS of Paley-Wiener subspace of L2 (R) is studied. The pyramid decompo- -sition scheme is obtained based on such a GMS and a sufficient condition for its existence is provided. A constructive method for affine frames of L2 (R) based on a GMS is presented.
Q. J. Chen and L. Zhao, "Characteristics of Subspace Affine Pseudoframes with Filter Banks", Applied Mechanics and Materials, Vols. 20-23, pp. 1046-1052, 2010