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Redundant wavelet processing on the half-axis with applications to signal denoising with small delays: Theory and experiments
- 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.
- Subjects :
- Discrete wavelet transform
Computer science
Noise (signal processing)
Stationary wavelet transform
Second-generation wavelet transform
ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION
Wavelet transform
020206 networking & telecommunications
02 engineering and technology
01 natural sciences
Signal
Wavelet packet decomposition
[SPI.AUTO]Engineering Sciences [physics]/Automatic
010104 statistics & probability
Wavelet
Control and Systems Engineering
Control theory
Signal Processing
0202 electrical engineering, electronic engineering, information engineering
0101 mathematics
Electrical and Electronic Engineering
Subjects
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⟩