Consider the system described by the difference equation (a) Show that it is al...

Consider the system described by the difference equation

(a) Show that it is allpass.

(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 allpass?

(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 allpass?