The transfer function of an FIR filter is H(z) = z 2 (0.5z + 1.2 + 0.5z

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The transfer function of an FIR filter is H(z) = z −2(0.5z + 1.2 + 0.5z−1).

(a) Find the frequency response H(e) of this filter. Is the phase response of this filter linear?

(b) Find the impulse response h[n] of this filter. Is h[n] symmetric with  respect to some n? How does this relate to the phase?

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