A sequence is defined by the relationship where h[n] is a minimum-phase sequenc...

A sequence is defined by the relationship

where h[n] is a minimum-phase sequence and

(a) Determine R(z) and sketch the pole–zero diagram.

(b) Determine the minimum-phase sequence h[n] to within a scale factor of ±1. Also, determine the z-transform H(z) of h[n].