On-Line Wavelet Denoising with Application to the Control of a Reaction Wheel System

Abstract : A wavelet transform on the negative half real axis is developed using an average- interpolation scheme. This transform can be used to perform causal wavelet processing, such as signal denoising, with a small delay. The delay required to obtain acceptable denoising levels is decreased by using a redundant transform instead of a non-redundant one. 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 that drives a reaction wheel system are presented.