Fractional Fourier-based denoising of kinematic signals with multiple impacts

This work is concerned with a novel denoising scheme based on repeated filtering in consecutive fractional Fourier transform domains. In particular, we leverage the effectiveness of a recently presented filter circuit for biomechanical signals into the case of kinematic signals with multiple impacts...

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Bibliographic Details
Main Authors: Subramaniam, S R, Georgakis, A
Format: Conference Proceeding
Language:English
Subjects:
Digital filters
Filtering theory
Fourier transforms
fractional Fourier transform
Kinematic impact signals
Low pass filters
low-pass filtering
Optical filters
Signal to noise ratio
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Summary:This work is concerned with a novel denoising scheme based on repeated filtering in consecutive fractional Fourier transform domains. In particular, we leverage the effectiveness of a recently presented filter circuit for biomechanical signals into the case of kinematic signals with multiple impacts. The presented method generates a time-varying cutoff threshold that can accommodate the frequency expansions caused by the discrete non-stationarities present in the signal. This is achieved by means of a filter circuit which is composed of a small number of ordinary linear low-pass filters and appropriate fractional Fourier transforms. We show that the proposed method outperforms conventional low-pass filters in the quality of its output and its robustness against noise.
DOI:10.1109/ISSPA.2010.5605571