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2010•Applied Mechanics and MaterialsOpen access

Characteristics of Subspace Affine Pseudoframes with Filter Banks

Qing Jiang Chen, Lang Zhao

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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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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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Available 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.

Key concepts: Affine transformation, Linear subspace, Subspace topology, Affine combination, Mathematics, Pyramid (geometry), Affine space, Constructive

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