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EEG and IMU Gait Signal Processing: A Comparative Assessment of the "Reza" Exponential Filter and Classical Filters
Reza Pousti1, Daniel M Russell2, Derek C Monroe3
1Ellmer College of Health Sciences, Old Dominion University, Norfolk, VA 23529, USA.
Sensors (Basel, Switzerland)
|March 14, 2026
Summary
Choosing the right digital filter is crucial for analyzing electroencephalography (EEG) and gait data. The novel Reza filter excels in preserving gait signal power, while Chebyshev filters maximize EEG signal-to-noise ratio.
Area of Science:
- Biomedical Engineering
- Neuroscience
- Biomechanics
Background:
- Noise significantly impacts electroencephalography (EEG) and gait signals.
- Traditional Infinite Impulse Response (IIR) filters like Butterworth, Chebyshev, and elliptic present design trade-offs.
- Evaluating novel filters against established ones is essential for signal processing optimization.
Purpose of the Study:
- To compare the performance of a novel exponential
- Reza
- filter against classical IIR filters (Butterworth, Chebyshev, elliptic).
- To assess filter efficacy for both neural (EEG) and locomotor (gait) data processing.
- To determine the impact of filter selection on signal-to-noise ratio (SNR) and power spectral density (PSD) outcomes.
Main Methods:
- Analysis of an open-source mobile brain-body imaging dataset from 49 healthy adults.
- EEG data (256-channel, 512 Hz) and IMU gait data (six APDM Opals, 128 Hz) were processed.
- Band-pass filtering (EEG: 0.5-50 Hz; IMU: 0.5-5 Hz) and statistical analysis using repeated-measures ANOVAs were performed.
Main Results:
- For EEG, filter type did not affect PSD, but Chebyshev and elliptic filters yielded significantly higher SNR than Butterworth and Reza.
- For IMU gait data, the Reza filter achieved the highest SNR, outperforming elliptic and Chebyshev filters.
- The Reza filter also preserved the most motion-band power for IMU data, followed by Butterworth, Chebyshev, and elliptic.
Conclusions:
- Filter selection critically influences EEG and gait data analysis outcomes.
- Chebyshev filters are optimal for maximizing EEG SNR, while elliptic and Reza filters offer comparable fidelity.
- For IMU gait signals, the Reza filter provides superior denoising while retaining substantial signal power, comparable to Butterworth.
- Filter choice should be tailored to the specific analytical goal (SNR maximization or band power preservation).

