The Research of Multiple Subspace Pseudoframes with Integer Translation

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Wavelet analysis has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. The definition of multiple pseudofames for subspaces with integer translation is proposed. The notion of a generalized multiresolution structure (GMS) of is also introduced. The construction of a GMS of Paley-Wiener subspaces of is investigated. The pyramid decomposition scheme is derived based on a GMS. As a major new constribution the sufficient condition for the existence of multiple pseudoframes for subspaces is derived based on such a GMS.

Info:

Periodical:

Key Engineering Materials (Volumes 439-440)

Edited by:

Yanwen Wu

Pages:

1129-1134

DOI:

10.4028/www.scientific.net/KEM.439-440.1129

Citation:

J. C. Shi and S. W. Guo, "The Research of Multiple Subspace Pseudoframes with Integer Translation ", Key Engineering Materials, Vols. 439-440, pp. 1129-1134, 2010

Online since:

June 2010

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Price:

$35.00

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