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Improved accuracy of biomechanical motion data obtained during impacts using a time-frequency low-pass filter
Simon Augustus1, Arif Mithat Amca2, Penny E Hudson1
1Chichester Institute of Sport, University of Chichester, Chichester, United Kingdom.
Journal of Biomechanics
|January 28, 2020
Summary
Conventional filters struggle with impact data. A modified fractional Fourier filter (MFrFF) accurately captures lower leg accelerations during football kicking impacts, outperforming standard methods.
Area of Science:
- Biomechanics
- Movement Science
- Signal Processing
Background:
- Conventional filters (CFs) inadequately represent biomechanical motion data with impacts.
- Time-frequency filters (TFFs) offer a promising alternative but are underutilized in movement science.
- Accurate segmental kinematics are crucial for understanding human movement dynamics.
Purpose of the Study:
- To evaluate a modified fractional Fourier filter (MFrFF) for analyzing biomechanical impact data.
- To compare the performance of the MFrFF against conventional filters during football kicking.
- To assess the accuracy of MFrFF in capturing peak accelerations during foot-to-ball impact.
Main Methods:
- Modification of Georgakis and Subramaniam's (2009) fractional Fourier filter.
- Application of the modified filter (MFrFF) to lower leg accelerations during football instep kicking.
- Comparison of MFrFF results with conventional filters and a reference accelerometer.
Main Results:
- MFrFF demonstrated superior accuracy for peak accelerations during foot-to-ball impact (peak % error = -5.0 ± 11.4%).
- Conventional filters severely underestimated impact peaks (30-70% error).
- MFrFF performance was comparable to CFs during non-impact phases (RMSE = 37.3 ± 7.6 m/s² vs. 42.1 ± 11.4 m/s²).
Conclusions:
- The modified fractional Fourier filter (MFrFF) accurately captures high-acceleration impacts in biomechanics.
- MFrFF is a superior alternative to conventional filters for analyzing impact events.
- MFrFF should be applied to diverse biomechanical impact scenarios to improve research efficacy.

