H(z) is the transfer function of a stable LTI system and is given by: (...

H(z) is the transfer function of a stable LTI system and is given by:

(a) Is the system causal? Clearly justify your answer.

(b) H(z) can also be expressed as H(z) = H_min(z)H_lin(z) where H_min(z) is a minimum phase system and H_lin(z) is a generalized linear-phase system. Determine a choice for H_min(z) and H_lin(z).