Consider the system (a) Draw all possible realizations of the system. (b) Sup...

Consider the system

(a) Draw all possible realizations of the system.

(b) Suppose that we implement the filter with fixed-point sign-and-magnitude fractional arithmetic using (b + 1) bits (one bit is used for the sign). Each resulting product is rounded into b bits. Determine the variance of the round-off noise created by the multipliers at the output of each one of the realizations in part (a).