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Redundant wavelet filter banks on the half-axis with applications to signal denoising with small delays

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 signal denoising, without delay. Nonetheless, in practice some boundary effects occur and thus a small amount of delay is required to reduce them. The theory is implemented on a challenging signal with large noise and sharp transients. Results from the experimental implementation of the proposed algorithm for the denoising of a feedback signal for controlling a three-phase permanent-magnet synchronous brushless DC motor are also presented.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00501855
Contributor : François Chaplais <>
Submitted on : Monday, July 12, 2010 - 6:07:35 PM
Last modification on : Thursday, September 24, 2020 - 5:04:18 PM
Long-term archiving on: : Thursday, October 14, 2010 - 3:35:58 PM

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  • HAL Id : hal-00501855, version 1

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François Chaplais, Panagiotis Tsiotras, Dongwon Jung. Redundant wavelet filter banks on the half-axis with applications to signal denoising with small delays. 43rd Conference on Decision and Control, Dec 2004, United States. pp.3102 - 3108. ⟨hal-00501855⟩

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