Parameterization of Masks for Tight Wavelet Frames and Multiple Pseudoframes and Applications in Mechanical Engineering

Yu Min Yu

doi:10.4028/www.scientific.net/AMR.915-916.1448

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 915-916Parameterization of Masks for Tight Wavelet Frames...

Parameterization of Masks for Tight Wavelet Frames and Multiple Pseudoframes and Applications in Mechanical Engineering

Abstract:

Mechanical engineering is a discipline of engineering that applies the principles of engine ering, physics and materials science for analysis, design, manufacturing, and maintenance of mecha nical systems. In this work, the construction of 4-band tight wavelet frames with symmetric proper-ties using symmetric extension and parameterization of the paraunitary matrix. The notion of an 4-band generalized multiresolution structure of subspace is proposed. The characteristics of affine pseudoframes for subspaces is investigated. The construction of a generalized multiresolution structure of Paley-Wiener subspace of is studied. The pyramid decomposition scheme is obta-ined based on such a generalized multiresolution structure and a sufficient condition for its exist-ence is presented. A constructive method for affine frames of based on a generalized multi-resolution structure is presented.

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Periodical:

Advanced Materials Research (Volumes 915-916)

Pages:

1448-1451

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.915-916.1448

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Online since:

April 2014

Authors:

Yu Min Yu*

Keywords:

Frame Sequence, Generalized Multiresolution Structure, Parameterization, Symmetric Frames, Tight Wavelet Frames, Wavelet Subspace

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* - Corresponding Author

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