Digital Signal Processing Biosignal Testbed
Real-time DSP hardware platform executing discrete-time IIR filtering algorithms.
Biomedical Engineering / ECG Powerline Notch Filter
FREE TO EXPLORELABORATORY 17 · BIOMEDICAL ENGINEERING
IIR Digital Notch Filter Design & 50/60 Hz Powerline Interference Removal
Design and implement a second-order IIR notch filter (Q = 30) to suppress 60 Hz hum from corrupted ECG telemetry while preserving diagnostic ST-segment and QRS morphology. Explore interactive physiological instrumentation simulation, biomechanics, and biomedical engineering telemetry.
BIOINSTRUMENTATION · BIOSIGNALS · BIOMECHANICS · IMAGING
Your virtual biomedical engineering laboratory.
RESIDUAL OUTPUT POWER P_OUT—
PHYSIOLOGICAL & TEST CELL TELEMETRY
Ready to sample with Noise P_in = 0.5 mV².
Adjust Noise P_in, then execute biomedical trial.
Biomedical engineering telemetry and physiological states are evaluated rigorously using 64-bit IEEE 754 precision. Residuals reflect ordinary least-squares regression across successive observations. Continuous data structures support high-fidelity biological and physiological modeling.
Biomedical assumptions and boundary condition limits
The linear power transmission model applies across the tested linear range (P_in ≤ 1.1 mV²). Evaluated using a second-order IIR digital notch filter centered at f_0 = 60.0 Hz with sampling frequency f_s = 500 Hz and 3 dB notch bandwidth BW = 2.0 Hz (Q = 30). Input 60 Hz interference power is varied from 0.1 to 1.1 mV².
Biomedical apparatus & physiological sensors.
Calibrated ECG Waveform Synthesizer
Generates clean 12-lead diagnostic ECG signals at 72 BPM with standard amplitude (1.0 mV peak).
Precision 60.0 Hz Interference Generator
Injects calibrated 60 Hz sinusoidal noise power into the synthesized ECG signal.
Fast Fourier Transform (FFT) Power Spectrum Analyzer
Computes power spectral density before and after filtering with 0.1 Hz spectral resolution.
Digital Storage Oscilloscope with Telemetry Display
Displays raw corrupted ECG, filtered ECG, and residual error waveform in real time.
Digital Filter Coefficient Synthesis Tool
Calculates floating-point biquad numerator and denominator coefficients for IIR notch filter.
FOLLOW THE METHOD
A reason behind every step.
Design and implement a second-order IIR notch filter (Q = 30) to suppress 60 Hz hum from corrupted ECG telemetry while preserving diagnostic ST-segment and QRS morphology. Standardized parameter settings: 0.1, 0.3, 0.5, 0.7, 0.9, 1.1 mV².
01
Filter Coefficient Calculation and DSP Initialization
Compute second-order IIR notch coefficients for f_0 = 60.0 Hz, f_s = 500 Hz, Q = 30: b = [1, -2·cos(ω_0), 1], a = [1, -2·r·cos(ω_0), r²] with r = 0.9874; load into DSP memory.
02
Clean ECG Baseline Reference
Input pure clean 1.0 mV ECG waveform without noise; confirm that filter passband causes zero visible attenuation or phase distortion of the QRS complex.
03
Initial 60 Hz Noise Injection (P_in = 0.10 mV²)
Superimpose 60.0 Hz sinusoidal hum to establish an input noise power P_in = 0.10 mV² (amplitude ~0.45 mV peak-to-peak).
04
Residual Filtered Power Acquisition
Run real-time biquad filtering and compute FFT power spectral density at 60 Hz; log residual output power P_out in μV².
05
Noise Power Progression Sequence
Increment 60 Hz interference power through 0.30, 0.50, 0.70, 0.90, and 1.10 mV², recording residual output power P_out at each step.
06
Rejection Ratio Regression Analysis
Plot residual output power P_out against input interference power P_in, performing linear regression to evaluate the power transmission ratio k_n.
YOUR NOTEBOOK · 0 OBSERVATIONS
Turn measurements into biomedical engineering insight.
Points are your recorded observations. The solid regression line validates ECG Powerline Notch Filter mathematical scaling.
LINEAR REGRESSION FIT · y = mx + b
P_out = k_n · P_in = 0.0050 · P_in
| # | Input Interference Power P_in (mV²) | Residual Output Power P_out (μV²) | Input interference power P_in (mV²) | Output residual power P_out (μV²) | Remove |
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