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

**Authors**: Chaplais, F. Tsiotras, P. Dongwon Jung, Proceedings of the 43rd Conference on Decision and Control, December 2004 DOI: 10.1109/CDC.2004.1428943

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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**BibTeX**:

@Proceedings{,

author = {Chaplais, F. Tsiotras, P. Dongwon Jung},

editor = {},

title = {Redundant wavelet filter banks on the half-axis with applications to signal denoising with small delays},

booktitle = {43rd Conference on Decision and Control},

volume = {3},

publisher = {},

address = {},

pages = {3102 - 3108},

year = {2005},

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.},

keywords = {}}