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

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

(a) Find the impulse response h[n] of this filter and plot it. Comment on any symmetries it might have.

(b)  Find the phase ∠H(e) of the filter and carefully plot it. Is this  phase linear for all frequencies − π < ω ≤ π?

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