An FIR filter has a transfer function H(z) = z 2 (ze jÏ/2 )(ze jÏ/2 ). (a)
Question:
(a) Find and plot the poles and zeros of this filter.
(b) Expressing the frequency response at some frequency Ï0 as
carefully draw the vectors on the pole-zero plot.
(c) Consider the case when Ï0 = 0, find H(ej0) analytically and using the vectors.
(d) Repeat the above calculations for Ï0 = Ï and Ï0 = ± Ï/2 (verify your result from the given Z-transform). Can you classify this filter?
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