Redundant wavelet processing on the half-axis with applications to signal denoising with small delays: Theory and experiments
Authors: François Chaplais, Panagiotis Tsiotras, Dongwon Jung, International Journal on Adaptive Control and Signal Processing, Vol 20, no 9, pp. 447 - 474 DOI: 10.1002/acs.911
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.
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BibTeX:
@Article{,
author = {Panagiotis Tsiotras François Chaplais, Dongwon Jung},
title = {Redundant wavelet processing on the half-axis with applications to signal denoising with small delays: Theory and experiments},
journal = {International Journal on Adaptive Control and Signal Processing},
volume = {20},
number = {9},
pages = {447 - 474},
year = {2006},
}
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.
Download PDF
BibTeX:
@Article{,
author = {Panagiotis Tsiotras François Chaplais, Dongwon Jung},
title = {Redundant wavelet processing on the half-axis with applications to signal denoising with small delays: Theory and experiments},
journal = {International Journal on Adaptive Control and Signal Processing},
volume = {20},
number = {9},
pages = {447 - 474},
year = {2006},
}