The Optimality Characters of Vector-Valued Binary Small-Wave Wraps with a Constant Dilation Factor

Ming Pu Guo

doi:10.4028/www.scientific.net/AMM.58-60.1460

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 58-60The Optimality Characters of Vector-Valued Binary...

The Optimality Characters of Vector-Valued Binary Small-Wave Wraps with a Constant Dilation Factor

Abstract:

Frame theory has been the focus of active research for twenty years, both in theory and applications. In this work, the notion of orthogonal vector-valued binary small-wave wraps, which is a generalization of uni-wavelet packets, is introduced. A procedure for constructing them is presented. Their orthogonality traits are investigated by using time-frequency analysis method, matrix theory and finite group theory. Orthogonality formulas concerning these binary small-wave wraps are established. Orthonormal wavelet packet bases are obtained. The pyramid decomposition scheme is obtained based on such a GMS and a sufficient condition for its existence is provided.

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Periodical:

Applied Mechanics and Materials (Volumes 58-60)

Pages:

1460-1465

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.58-60.1460

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Online since:

June 2011

Authors:

Ming Pu Guo

Keywords:

Banach Space, Binary, Orthonormal Wavelet Packet Base, Sobelev Space, Vector-Valued Scaling Function, Vector-Valued Small-Wave Wraps

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