The impulse response of an analog filter is shown in Fig. P8.20. (a) Let whe...

The impulse response of an analog filter is shown in Fig. P8.20.

(a) Let where T =1, be the impulse response of a discrete-time filter. Determine the system function H(z) and the frequency response H(w) for this FIR filter.

(b) Sketch (roughly) |H(w) and compare this frequency response characteristic with .

(c) The FIR filter with unit sample response h(n) given above is to be approximated by a second-order IIR filter of the form

Use the least-squares inverse design procedure to determine the values of the coefficients .