Construction of Orthogonal and Symmetric Multi-Wavelets with Vanishing Moments

Abstract:

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It is a classical result that there is no compactly supported, symmetric, orthogonal univariate scalar wavelet. In this paper, the author aims to obtain multi-wavelets with several good properties. That is, the multi-wavelets are compactly supported, symmetric, orthogonal and have suitable vanishing moments. Firstly, we point out that the orthogonality and symmetry of the multi-wavelets can be obtained if the filter banks are constructed by matrix factorization. Secondly, it is presented how the choices of 2-th real orthogonal matrices matters in the construction. In the end, this paper discusses how the parameters are chosen so that the multi-wavelets will have suitable vanishing moments.

Info:

Periodical:

Edited by:

Kai Cheng, Yongxian Liu, Xipeng Xu and Hualong Xie

Pages:

618-622

DOI:

10.4028/www.scientific.net/AMM.16-19.618

Citation:

H. Y. Xiao "Construction of Orthogonal and Symmetric Multi-Wavelets with Vanishing Moments", Applied Mechanics and Materials, Vols. 16-19, pp. 618-622, 2009

Online since:

October 2009

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Price:

$35.00

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