Many properties of a discrete-time sequence h[n] or an LTI system with impulse response h[n] can be discerned from a pole-zero plot of H(z). In this problem, we are concerned only with causal systems. Clearly describe the z-plane characteristic that corresponds to each of the following properties:

(a) Real-valued impulse response

(b) Finite impulse response

(c) h[n] = h[2a - n] where 2a is an integer

(d) Minimum phase

(e) All-pass.