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https://doi.org/10.1016/j.acha.2005.09.006
| Title: | Symmetric and antisymmetric tight wavelet frames | Authors: | Goh, S.S. Lim, Z.Y. Shen, Z. |
Keywords: | Multiresolution analysis Symmetry 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. https://doi.org/10.1016/j.acha.2005.09.006 | 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 | URI: | http://scholarbank.nus.edu.sg/handle/10635/104686 | ISSN: | 10635203 | DOI: | 10.1016/j.acha.2005.09.006 |
| Appears in Collections: | Staff Publications |
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