For each of the following system functions H_k(z), specify a minimum-phase system function H_min(z) such that the frequency-response magnitudes of the two systems are equal, i.e., |H_k(e^jω)| = | H_min(e^jω) |.

(a) 1 2z- H1(z) = 1 + z-' (b) (1 + 3z-') (1 2-) .(2) % z' (1 + }z-") (c) (1 32-') (1 } 2-') (2) % (1 ") (1 {-)