Estimation of the Second Derivative of Kinematic Impact Signals Using Fractional Fourier Domain Filtering

A new filtering algorithm is proposed for the accurate estimation of the second derivatives of kinematic signals with impacts. The algorithm operates in predetermined consecutive fractional Fourier transform domains and amounts to an overall linear low-pass filter with time-varying cutoff threshold,...

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Bibliographic Details
Published in:IEEE transactions on biomedical engineering 2009-04, Vol.56 (4), p.996-1004
Main Authors: Georgakis, Apostolos, Subramaniam, Suba Raman
Format: Article
Language:English
Subjects:
Algorithms
Biomechanical Phenomena
Biomechanics
Digital filters
Filtering algorithms
Fourier Analysis
Fourier transforms
fractional Fourier transform
Frequency
Humans
impact signals
Kinematics
Low pass filters
Models, Biological
Movement - physiology
Noise reduction
Nonlinear filters
Signal processing
Signal Processing, Computer-Assisted
Wavelet transforms
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Summary:A new filtering algorithm is proposed for the accurate estimation of the second derivatives of kinematic signals with impacts. The algorithm operates in predetermined consecutive fractional Fourier transform domains and amounts to an overall linear low-pass filter with time-varying cutoff threshold, which can successfully accommodate the impact-induced changes in the frequency content of the signals. The proposed method was applied to experimentally acquired displacement data and the results have demonstrated its promising performance that was found superior to both conventional techniques and recently introduced advanced schemes.
ISSN:0018-9294
1558-2531
DOI:10.1109/TBME.2008.2006507