The transfer function of an IIR filter is Find the magnitude response of this filter at Ï

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The transfer function of an IIR filter is

(z + 2)(z – 2) (z + 0.5)(z – 0.5) H(z)

Find the magnitude response of this filter at ω = 0, ω = π/2, and ω = π.

From the poles and the zeros of H(z) find geometrically the magnitude response and indicate the type of filter.

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