The Fine Characters of a Sort of Biorthogonal Four-Dimensional Nonseparable Wavelet Packs

Abstract:

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In this article, the notion of orthogonal nonseparable four-dimensional wavelet packs, which is the generalization of orthogonal univariate wavelet packs, is introduced. A new approach for constructing them is presented by iteration method and wavelets as well wavelet frames. The biorthogonality properties of four-dimensi- -onal wavelet packets are discussed. Three biorthogonality formulas concerning these wavelet packs are estabished. A necessary and sufficient condition for the existence of the pyramid decomposition scheme of space is presented.

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Periodical:

Edited by:

Dehuai Zeng

Pages:

7-12

DOI:

10.4028/www.scientific.net/AMR.159.7

Citation:

H. L. Guo and Y. M. Yu, "The Fine Characters of a Sort of Biorthogonal Four-Dimensional Nonseparable Wavelet Packs", Advanced Materials Research, Vol. 159, pp. 7-12, 2011

Online since:

December 2010

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$35.00

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