Consider the system in Figure P4.8 with the following relations: (a) For th...

Consider the system in Figure P4.8 with the following relations:

(a) For this system, what is the maximum allowable value of T if aliasing is to be avoided, i.e., so that x_c(t) can be recovered from x[n].

(b) Determine h[n].

(c) In terms of X (e^jω), what is the value of y[n] for n→∞?

(d) Determine whether there is any value of T for which

If there is such a value for T , determine the maximum value. If there is not, explain and specify how T would be chosen so that the equality in Eq. (P4.8-1) is best approximated.