50Hz Power Frequency Notch Filter Using Butterworth Filter

In the provided implementation, we have developed a 50Hz power frequency notch filter utilizing Butterworth filter design principles. The program calculates precise filter coefficients through butter() function calls with appropriate order and cutoff frequency parameters, and performs detailed spectral analysis using FFT algorithms to validate filter performance. This implementation effectively attenuates 50Hz power line interference, making it particularly valuable in signal processing applications where clean signal acquisition is critical. The filter can be widely applied in various domains including biomedical signal processing, audio engineering, and industrial measurement systems to enhance signal quality and minimize noise contamination. The code includes functionality for frequency response visualization using freqz() function and practical filtering operations through filter() or filtfilt() functions for zero-phase distortion.