Consider the system described by the difference equation
(a) Show that it is all-pass.
(b) Obtain the direct form II realization of the system
(c) If you quantize the coefficients of the system in part (b), is it still all- pass?
(d) Obtain a realization by rewriting the difference equation as
(e) If you quantize the coefficients of the system in part (d), is it still all-pass