The three networks in Figure are all equivalent implementations of the same two-input, two-output linear time-invariant system.

(a) Write the difference equations for network A.?

(b) Find values of ?, b, c, and d for network B in terms of?r in network A such that the two systems are equivalent.

(c) Find values of e and f for network C?in terms of r in network A such that the two systems are equivalent.

(d) Why might network B or C be preferred over network A? What possible advantage could network A have over network B or C?

Transcribed Image Text:

1+r yıln) x[n] x|[n] yı[n] y2[n] 1-r x2ln] Network A yz{n] (a) x2{n] Network B (b) yıln] yaln] x2[n] Network C (c)