Designing an Optimum and Reduced Order Filter for Efficient ECG QRS Peak Detection and Classification of Arrhythmia Data

Table 1

Transfer functions for different filters used for filter design of ECG peak detections.

Filter method	Designed transfer functions
FIR filter 60 order low pass filter	h_60 = -4.168e-19 s^60 + 0.0004528 s^59 0.0008864 s^58 + 0.001208 s^57–0.00127 s^56 + 0.0009014 s^55–5.451e-18 s^54–0.001371 s^53 + 0.002909 s^52–0.004086 s^51 + 0.004272 s^50–0.002955 s^49 + 3.791e-17 s^48 + 0.004159 s^47–0.008473 s^46 + 0.01146 s^45–0.01158 s^44 + 0.00778 s^43–2.215e-17 s^42–0.01052 s^41 + 0.02122 s^40–0.02865 s^39 + 0.02921 s^38–0.02005 s^37 + 2.962e-17 s^36 + 0.02986 s^35–0.06616 s^34 + 0.1037 s^33–0.1364 s^32 + 0.1587 s^31 + 0.8331 s^30 + 0.1587 s^29–0.1364 s^28 + 0.1037 s^27–0.06616 s^26 + 0.02986 s^25 + 2.962e-17 s^24–0.02005 s^23 + 0.02921 s^22–0.02865 s^21 + 0.02122 s^20–0.01052 s^19–2.215e-17 s^18 + 0.00778 s^17–0.01158 s^16 + 0.01146 s^15–0.008473 s^14 + 0.004159 s^13 + 3.791e-17 s^12–0.002955 s^11 + 0.004272 s^10–0.004086 s^9 + 0.002909 s^8–0.001371 s^7–5.451e-18 s^6 + 0.0009014 s^5–0.00127 s^4 + 0.001208 s^3–0.0008864 s^2 + 0.0004528 s - 4.168e-19
Pan–Tompkins 32 order LPF
Band pass filter
IIR filter 16 order
Optimum reduced order IIR filter