The Characteristics of Affine Bivariate Pseudoframes of Subspace Associated with a Bivariate Filter Functions

Abstract:

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Frame theory has been the focus of active research for twenty years, both in theory and applications. In this work, the notion of the bivariate generalized multiresolution structure (BGMS) of subspace is proposed. The characteristics of bivariate affine pseudoframes for subspaces is investigated. The construction of a GMS of Paley-Wiener subspace of is studied. The pyramid decomposition scheme is obtained based on such a GMS and a sufficient condition for its existence is provided. A constructive method for affine frames of based on a BGMS is established.

Info:

Periodical:

Key Engineering Materials (Volumes 439-440)

Edited by:

Yanwen Wu

Pages:

926-931

DOI:

10.4028/www.scientific.net/KEM.439-440.926

Citation:

Y. M. Yu "The Characteristics of Affine Bivariate Pseudoframes of Subspace Associated with a Bivariate Filter Functions ", Key Engineering Materials, Vols. 439-440, pp. 926-931, 2010

Online since:

June 2010

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$35.00

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