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Proceedings Paper

Rational wavelet transform: application to signal denoising
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Paper Abstract

This paper deals with the rational wavelet transform apply to a wavelet shrinkage problem. The rational multiresolution analysis (MRA) allows a better adaptation of the scale factor to the signal components than the dyadic one. The theory of the rational MRA is reviewed and a pyramidal algorithm for the computation of the fast orthogonal wavelet transform is proposed. Both, the analysis and the synthesis parts of the process are detailed. Moreover, using filters defined in Fourier domain, the implementation of the proposed algorithm is extended to this space. To illustrate the potential of rational analysis for signal processing, a wavelet shrinkage application is presented.

Paper Details

Date Published: 27 February 2004
PDF: 9 pages
Proc. SPIE 5266, Wavelet Applications in Industrial Processing, (27 February 2004); doi: 10.1117/12.516068
Show Author Affiliations
Alexandre Baussard, SATIE/CNRS (France)
Olivier Laligant, Univ. de Bourgogne (France)
Frederic Nicolier, Univ. de Reims Champagne-Ardennes (France)
Frederic Truchetet, Univ. de Bourgogne (France)


Published in SPIE Proceedings Vol. 5266:
Wavelet Applications in Industrial Processing
Frederic Truchetet, Editor(s)

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