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Title: Symmetric and antisymmetric tight wavelet frames
Authors: Goh, S.S. 
Lim, Z.Y.
Shen, Z. 
Keywords: Multiresolution analysis
Wavelet frame
Issue Date: May-2006
Citation: Goh, S.S., Lim, Z.Y., Shen, Z. (2006-05). Symmetric and antisymmetric tight wavelet frames. Applied and Computational Harmonic Analysis 20 (3) : 411-421. ScholarBank@NUS Repository.
Abstract: For a given set of wavelets Ψ, we provide a general, and yet simple, method to derive a new set of wavelets Ψ′ such that each wavelet in Ψ′ is either symmetric or antisymmetric. The affine system generated by Ψ′ is a tight frame for the space L2 ( Rd ) whenever the affine system generated by Ψ is so. Further, when Ψ is constructed via a multiresolution analysis, Ψ′ can also be derived from a, but possibly different, multiresolution analysis. If moreover the multiresolution analysis for constructing Ψ is generated by a symmetric refinable function, then Ψ′ is obtained from the same multiresolution analysis. © 2005 Elsevier Inc. All rights reserved.
Source Title: Applied and Computational Harmonic Analysis
ISSN: 10635203
DOI: 10.1016/j.acha.2005.09.006
Appears in Collections:Staff Publications

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