We wish to design a FIR bandpass filter having a duration M = 201. represents the ideal...

We wish to design a FIR bandpass filter having a duration M = 201. represents the ideal characteristic of the noncausal bandpass filter as shown in Fig. P10.22.

(a) Determine the unit sample (impulse) response corresponding to

(b) Explain how you would use the Hamming window

to design a FIR bandpass filter having an impulse response h(n) for 0 ≤ n ≤ 200.

(c) Suppose that you were to design the FIR filter with M = 201 by using the frequency-sampling technique in which the DFT coefficients H(k) are specified instead of h(n). Give the values of H(k) for 0 ≤ k ≤ 200 corresponding to and indicate how the frequency response of the actual filter will differ from the ideal. Would the actual filter represent a good design? Explain your answer.