Symmetric wavelet tight frames with two generators Journal Article
| Authors: | Selesnick, I. W.; Abdelnour, A. F. |
| Article Title: | Symmetric wavelet tight frames with two generators |
| Abstract: | This paper uses the UEP approach for the construction of wavelet tight frames with two (anti-) symmetric wavelets, and provides some results and examples that complement recent results by Q. Jiang. A description of a family of solutions when the lowpass scaling filter is of even-length is provided. When one wavelet is symmetric and the other is antisymmetric, the wavelet filters can be obtained by a simple procedure based on matching the roots of associated polynomials. The design examples in this paper begin with the construction of a lowpass filter h0(n) that is designed so as to ensure that both wavelets have at least a specified number of vanishing moments. © 2004 Elsevier Inc. All rights reserved. |
| Keywords: | image analysis; signal processing; harmonic analysis; mathematical models; vectors; wavelet transforms; data acquisition; polynomials; wave filters; discrete wavelet transforms (dwt); lowpass filters; vanishing moment recovery (vmr); wavelet frames |
| Journal Title: | Applied and Computational Harmonic Analysis |
| Volume: | 17 |
| Issue: | 2 |
| ISSN: | 1063-5203 |
| Publisher: | Academic Press Inc., Elsevier Science |
| Date Published: | 2004-09-01 |
| Start Page: | 211 |
| End Page: | 225 |
| Language: | English |
| DOI: | 10.1016/j.acha.2004.05.003 |
| PROVIDER: | scopus |
| DOI/URL: | |
| Notes: | Appl Comput Harmonic Anal -- Cited By (since 1996):61 -- Export Date: 16 June 2014 -- CODEN: ACOHE -- Source: Scopus |
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