Ideal Filter Implementation for Low-Pass and Band-Pass Filtering

Resource Overview

% y = filter(sig, fmin, fmax, fs) % Performs ideal filtering on a signal to achieve low-pass or band-pass filtering functionality % sig: input signal to be filtered % fmin: lower cutoff frequency (when fmin=0, implements low-pass filter; when fmin>0, implements band-pass filter) % fmax: upper cutoff frequency (must satisfy fmax > fmin) % fs: sampling frequency of the input signal % y: filtered output signal

Detailed Documentation

This implementation uses ideal filtering to process signals for low-pass or band-pass filtering applications. The function signature % y = filter(sig, fmin, fmax, fs) accepts the following parameters: % sig represents the input signal to be filtered, % fmin specifies the lower cutoff frequency (setting fmin=0 creates a low-pass filter, while fmin>0 creates a band-pass filter), % fmax defines the upper cutoff frequency (must satisfy fmax > fmin), and % fs indicates the sampling frequency of the input signal. The filtered result is stored in output variable y. The implementation typically involves frequency domain processing using FFT, applying a rectangular frequency response window between fmin and fmax, and converting back to time domain using inverse FFT.