Four different filters with distinct specifications were identified from recent literature for comparison: Bandpass FIR (Finite impulse response) filter (0.05–1 Hz) (17 (link), 18 (link)); SG (Savitzky-Golay) filter (low pass filter with cutoff frequency of 1.98 Hz) (9 (link), 13 (link)); Bandpass Bessel filter (2–100 Hz) (15 (link)), and a Bandpass Butterworth filter (5–100 Hz) (15 (link)). These four filters were applied after the removal of baseline wander (via a moving median window of 20 seconds (9 (link))) and notch filters to remove power line interference for consistent comparison. Data processing and analysis was performed in MATLAB v7.11 (Natick, Massachusetts).
After filtering, the resultant signals were evaluated in both the time and frequency domains. Two measures were used to quantify the filter effects: average slow wave amplitude in the time domain, and maximum spectral component in the frequency domain (computed via the Fourier transform). Amplitude in the time domain was computed by the difference between the minimum and maximum of a running window of two minutes and averaged. In the frequency domain, the spectral component with the highest amplitude was acquired. For statistical analyses, t-tests were performed between the amplitude and frequency of the baseline removed signal, and the filtered signals.