Study of Matrix Transfer Multipliers for Normalized Pseudoframe Wavelets and Applications in Material Engineering

Hong Wei Gao

doi:10.4028/www.scientific.net/AMM.457-458.305

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 457-458Study of Matrix Transfer Multipliers for...

Study of Matrix Transfer Multipliers for Normalized Pseudoframe Wavelets and Applications in Material Engineering

Abstract:

Materials engineers design, produce and evaluate materials and their use. In this work, the notion of the bivariate generalized multiresolution structure (BGMS) of subspace L^2(R^2) is proposed. The characteristics of bivariate affine pseudoframes for subspaces is investigated. The construction of a GMS of Paley-Wiener subspace of L^2(R^2) is studied. The pyramid decom position scheme is obtained based on such a GMS and a sufficient condition for its existence is provided. A constructive method for affine frames of L^2(R^2) based on a BGMS is established.

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Periodical:

Applied Mechanics and Materials (Volumes 457-458)

Pages:

305-308

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.457-458.305

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Online since:

October 2013

Authors:

Hong Wei Gao

Keywords:

Bivariate, Filter Functions, Gabor Frames, Generalized Multiresolution Structure, Matrix Transfer Multipliers, Normalized Frames, Time-Frequency Analysis Method

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