The Research of Bivariate Minimum-Energy Wavelet Frames and Pseudoframes

Abstract:

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Frames have become the focus of active research, both in theory and in applications. In the article, the notion of bivariate minimum-energy wavelet frames is introduced. A precise existence criterion for minimum-energy frames in terms of an inequality condition on the Laurent polynomial symbols of the filter functions is provided. An explicit formula for designing minimum-energy frames is also establish- ed. The sufficient condition for the existence of a class of affine pseudoframes with filter banks is obtained by virtue of a generalized multiresolution analysis. The pyramid decomposition scheme is established based on such a generalized multiresol- -ution structure.

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Periodical:

Edited by:

Dehuai Zeng

Pages:

1-6

DOI:

10.4028/www.scientific.net/AMR.159.1

Citation:

P. A. Wang "The Research of Bivariate Minimum-Energy Wavelet Frames and Pseudoframes", Advanced Materials Research, Vol. 159, pp. 1-6, 2011

Online since:

December 2010

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$35.00

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