The Traits of Two-Directional Orthogonal Multivariate Small-Wave Packages with Finite Support

Zhong Yin Chen

doi:10.4028/www.scientific.net/AMR.430-432.543

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 430-432The Traits of Two-Directional Orthogonal...

The Traits of Two-Directional Orthogonal Multivariate Small-Wave Packages with Finite Support

Abstract:

In this paper, we introduce the notion of vector-valued multiresolution analysis and two-directional vector-valued multivariate wavelet packages associated with an integer-valued dilation matrix. A novel method for constructing multi-dimensional vector-valued wavelet packet is presented. Their characteristics are researched by means of operator theory, time-frequency analysis method and matrix theory. Three orthogonality formulas concerning the wavelet packets are establ- lished. Orthogonality decomposition relation formulas of the space are derived by constru- cting a series of subspaces of wavelet packets.

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Periodical:

Advanced Materials Research (Volumes 430-432)

Pages:

543-546

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.430-432.543

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Online since:

January 2012

Authors:

Zhong Yin Chen

Keywords:

Dilation Matrix, Quamtum Mechanics, Theory Physics, Time-Frequency Analysis Approach, Two-Directional Multivariate Wavelets, Wavelet Packages

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