The Features of Multiscale Pseudoframes and Gabor Frames According to Bivariate Filter Functions

Zhong Yin Chen; Jin Shun Feng

doi:10.4028/www.scientific.net/AMR.424-425.106

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 424-425The Features of Multiscale Pseudoframes and Gabor...

The Features of Multiscale Pseudoframes and Gabor Frames According to Bivariate Filter Functions

Abstract:

The advantages of wavelet analysis and their promising featu-res in various application have attracted a lot of interest and effort in re-cent years. Frame analysis has become popular much later in sampling theory, time-frequency analysis and wavelet theory. In this work, the notion of the binary generalized multiresolution structure (BGMS) of subspace is proposed. The characteristics of binary multiscale pseudof-rames for subspaces is investigated. The construction of a BGMS of Paley-Wiener subspace ofis 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. A method for designing a class of affine bivariate dual frames in bi-dimensional space is presented. The results we obtain gains much improvement.

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Periodical:

Advanced Materials Research (Volumes 424-425)

Pages:

106-110

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.424-425.106

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Cite this paper

Online since:

January 2012

Authors:

Zhong Yin Chen, Jin Shun Feng

Keywords:

Affine Pseudoframes, Atom Physics, Bivariate Generalized Multiresolution Structure, Gabor Frames, High-Energy Physics, Paley-Wiener Subspace

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