The Nice Characters of Biorthogonal Four-Element Wavelet Packets with Two-Scale

Yu Li; Jin Shun Feng

doi:10.4028/www.scientific.net/KEM.460-461.351

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HomeKey Engineering MaterialsKey Engineering Materials Vols. 460-461The Nice Characters of Biorthogonal Four-Element...

The Nice Characters of Biorthogonal Four-Element Wavelet Packets with Two-Scale

Abstract:

In this article, the notion of orthogonal nonseparable four-dimensional wavelet packets, which is the generalization of orthogonal univariate wavelet packets, is introduced. A new approach for constructing them is presented by iteration method. A novel approach for constructing two-directional biorthogonal wavelet packets is developed. The biorthogonality property of four-dimensional wavelet packets is discussed. Three biorthogonality formulas concerning these wavelet packets are estabished. A constructive method for affine frames of is proposed.

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Periodical:

Key Engineering Materials (Volumes 460-461)

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351-356

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.460-461.351

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Online since:

January 2011

Authors:

Yu Li, Jin Shun Feng

Keywords:

Biorthogonal, Filter Bank, Finite Group Theory, Four-Element, Iteration Method, Wavelet Packet Base, Wavelet Theory

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