Study of Matrix Multipliers for Normalized Frame Multi-Wavelets and Applications in Engineering Material Technology

Yong Fan Xu

doi:10.4028/www.scientific.net/AMR.753-755.2321

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 753-755Study of Matrix Multipliers for Normalized Frame...

Study of Matrix Multipliers for Normalized Frame Multi-Wavelets and Applications in Engineering Material Technology

Abstract:

Frame theory has been the focus of active research for twenty years, both in theory and applications. Matrix Fourier multipliers send every orthonoamal wavelet to an orthonoamal wavelet. In this work, the notion of the bivariate generalized multiresolution structure (BGMS) of subspace is proposed. The characteristics of bivariate affine pseudoframes for subspaces is investigated. The construction of a GMS of Paley-Wiener subspace of is studied. The pyramid decomposition scheme is obtained based on such a GMS and a sufficient condition for its existence is provided. A constructive method for affine frames of based on a BGMS is established.

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Periodical:

Advanced Materials Research (Volumes 753-755)

Pages:

2321-2324

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.753-755.2321

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Online since:

August 2013

Authors:

Yong Fan Xu

Keywords:

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

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References

[1] I. Daubechies, A. Grossmann, A. Meyer, Painless nonorthogonal expansions. J. Math. Phys. 1986; 27: 1271-1283.

DOI: 10.1063/1.527388

Google Scholar

[2] J. J. Benedetto, S. Li, The theory of multiresolution analysis frames and applications to filter banks. Appl. comput. Harmon. Anal. 1998; 5: 389-427.

Google Scholar

[3] A. Ron, Z. Shen, Affine systems in L2(Rd). (II) Dual systems. J. Fourier Anal. Appl. 1997; 4: 617-637.

Google Scholar

[4] I. Daubechies, Ten Lectures on Wavelets. SIAM: Philadelphia, (1992).

Google Scholar

[5] S. Li, etal, Pseudoframes for Subspaces with Applications. J. Four. Anal. Appl. 2004; 10: 409-431.

Google Scholar

[6] S. Li, A Theory of Geeneralized Multiresolution Structure and Pseudoframes of Translates. J. Fourier Anal. Appl. 2001; 6(1): 23-40.

Google Scholar