The transfer function of an IIR filter is (a) Calculate the impulse response h[n]of the filter. (b)

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The transfer function of an IIR filter is

z + 1 Н(2): z(z – 0.5)

(a) Calculate the impulse response h[n]of the filter.

(b) Would it be possible for this filter to have linear phase? Explain.

(c) Sketch the magnitude response |H(ejω)| using a plot of the poles and zeros of H(z) in the Z-plane. Use vectors to calculate the magnitude response.

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