The impulse response of an analog filter is shown in figure. (a) Let h(n) = h a

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The impulse response of an analog filter is shown in figure.

ho(1) 10

(a) Let h(n) = ha(nT), 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(ω)| and compare this frequency response characteristic with |Ha(jΩ)|.

(c) The FIR filter with unit sample-order IIR filter of the form.

G(z) = b0z –1/1 – a1z –1a2z –2

Use the least-squares inverse design procedure to determine the values of the coefficients b0, a1 and a2

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Digital Signal Processing

ISBN: ?978-0133737622

3rd Edition

Authors: Jonh G. Proakis, Dimitris G.Manolakis

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