Determine the impulse response of an ideal bandpass filter

Question

Question: Determine the impulse response of an ideal bandpass filter and an ideal bandstop filter. In each case, assume a gain of A within the pass bands and cut off frequencies of ωc₁ and ωc₂

2. Derive and sketch the location of the poles for the Butterworth filters of orders N = 12 and 13 in the complex s-plane.