Problem

(a) A specific minimum-phase system has system function Hmin(z) such that H...

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

H min (z)H ap (z) = Hlin(z),

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