(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_ap(z) is an all-pass system function and H_lin(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 = 0.8e^jπ/4 and another zero at z = −2. What is H(z)?