Characteristics of Subspace Affine Pseudoframes with Filter Banks

Qing Jiang Chen; Lang Zhao

doi:10.4028/www.scientific.net/AMM.20-23.1046

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 20-23Characteristics of Subspace Affine Pseudoframes...

Characteristics of Subspace Affine Pseudoframes with Filter Banks

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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Periodical:

Applied Mechanics and Materials (Volumes 20-23)

Pages:

1046-1052

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.20-23.1046

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Online since:

January 2010

Authors:

Qing Jiang Chen, Lang Zhao

Keywords:

Affine Frames, Filter Bank, Generalized Multiresolution Structure, Pseudoframes

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