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The Nice Feature of a Sort of Orthogonal Finitely Supported Five-Variant Wavelet Packages

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Abstract:

In this article, the notion of orthogonal nonseparable five-variant wavelet packages, whi- ch is the generalization of orthogonal univariate wavelet packages, is introduced. A new approach for constructing the wavelet packages is presented by iteration method as well wavelet frames. The orthogonality properties for five-dimensional wavelet packages are discussed. Three orthogonality formulas concerning these wavelet packages are estabished. A necessary and sufficient condition for the existence of the pyramid decomposition scheme of space is presented.

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Periodical:

Advanced Materials Research (Volume 459)

Pages:

289-292

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.459.289

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Cite this paper

Online since:

January 2012

Authors:

Hong Wei Gao, Lan Ran Fang

Keywords:

Algebra Theory, Filter Functions, Five-Dimensional, Iteration Method, Mathematical Modeling, Mathematical Technology, Orthogonal, Wavelet Package Bases

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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