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Redundant wavelet processing on the half-axis with applications to signal denoising with small delays: Theory and experiments

Authors :
Panagiotis Tsiotras
Francois Chaplais
Dongwon Jung
Centre Automatique et Systèmes (CAS)
MINES ParisTech - École nationale supérieure des mines de Paris
Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)
Daniel Guggenheim School of Aerospace Engineering (GA TECH)
Georgia Institute of Technology [Atlanta]
Source :
International Journal on Adaptive Control and Signal Processing, International Journal on Adaptive Control and Signal Processing, 2006, 20 (9), pp.447-474. ⟨10.1002/acs.911⟩
Publication Year :
2006
Publisher :
HAL CCSD, 2006.

Abstract

A wavelet transform on the negative half real axis is developed using an average-interpolation scheme. This transform is redundant and can be used to perform causal wavelet processing, such as on-line signal denoising, without delay. Nonetheless, in practice some boundary effects occur and thus a small amount of delay is required to reduce them. The effect of this delay is studied using a numerical example of a signal with large noise and sharp transients. It is shown that the delay required to obtain acceptable denoising levels is decreased by using the proposed redundant transform instead of a non-redundant one. We also present results from the experimental implementation of the proposed algorithm for the denoising of a feedback signal during the control of a three-phase permanent-magnet synchronous brushless DC motor. Copyright © 2006 John Wiley & Sons, Ltd.

Details

Language :
English
Database :
OpenAIRE
Journal :
International Journal on Adaptive Control and Signal Processing, International Journal on Adaptive Control and Signal Processing, 2006, 20 (9), pp.447-474. ⟨10.1002/acs.911⟩
Accession number :
edsair.doi.dedup.....5ee38bb547107b17d26a6adab575a67e
Full Text :
https://doi.org/10.1002/acs.911⟩