Papers by Keyword: Pseudoframes

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Authors: Qing Jiang Chen, Lang Zhao
Abstract: 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.
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Authors: Tong Qi Zhang
Abstract: 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.
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