A stable system with system function H(z) has the pole–zero diagram shown in Figure P5.2...

A stable system with system function H(z) has the pole–zero diagram shown in Figure P5.24. It can be represented as the cascade of a stable minimum-phase system H_min(z) and a stable all-pass system H_ap(z).

Determine a choice for H_min(z) and H_ap(z) (up to a scale factor) and draw their corresponding pole–zero plots. Indicate whether your decomposition is unique up to a scale factor.