Question: (a) A minimum-phase system has system function H min (z) is such that H min (z) H ap (z) = H lin (z), where H

(a) A minimum-phase system has system function Hmin(z) is such that 

Hmin(z) Hap(z) = Hlin(z),

where Hap(z) is an all-pass system function and Hlin(z) is a causal generalized linear-phase system. What does this information tell you about the poles and zeros of H min(z)?

(b) A generalized linear-phase FIR system has an impulse response with real values and h[n] = 0 for n < 0 and for n ≥ 8, and h[n] = −h[7 – n]. The system function of this system has a zero at z = 0.8ejπ/4 and another zero at z = −2. What is H(z)?

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