In the system shown in Figure p7.45, the input is band limited with = 0, . The digita...

In the system shown in Figure p7.45, the input is band limited with = 0, . The digital filter h[n] is described by the input-output relation.

(a) What is the maximum value of T allowed if abasing is to be avoided in the transformation from

(b) With the discrete-time LTI system specified through eq. (P7.45-1), determine its impulse response h[n].

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

If so, determine the maximum value. If not, explain and specify how T would be chosen so that the equality in eq. (P7.45-2) is best approximated. (Think carefully about this part; it is easy to jump to the wrong conclusion!)