(Solved): Task 2: FIR Filter Design Design a digital lowpass filter using Kaiser and Hamming window methods w ...
Task 2: FIR Filter Design Design a digital lowpass filter using Kaiser and Hamming window methods with the following specifications: - Passband edge frequency ?p?=0.25? - Stopband edge frequency ?s?=0.35? - Peak approximation error ? should be less than -50dB Implement the digital filter in MATLAB and plot and analyze the impulse response, magnitude response and phase response of the filters. Verify the performance of the digital filters by applying a signal.
To design a digital lowpass filter with the given specifications using the Kaiser and Hamming window methods, we can follow these steps:
1. Determine the filter order: The filter order determines the number of taps or coefficients of the filter. A higher order generally leads to better performance but also increases computational complexity. To calculate the filter order, we can use the formula:
Where A is the peak approximation error and omega_s and omega_p are the stopband and passband edge frequencies, respectively. In this case, A = -50 dB, omega_s = 0.35?, and omega_p = 0.25?.