In system A, a continuous-time signal xc(t) is processed as indicated in Figure P4.39-1....

In system A, a continuous-time signal x_c(t) is processed as indicated in Figure P4.39-1.

(a) If M = 2 and x_c(t) has the Fourier transform shown in Figure P4.39-2, determine y[n]. Clearly show your work on this part.

We would now like to modify system A by appropriately placing additional processing modules in the cascade chain of system A (i.e., blocks can be added at any point in the cascade chain—at the beginning, at the end, or even in between existing blocks). All of the current blocks in system A must be kept. We would like the modified system to be an ideal LTI lowpass filter, as indicated in Figure P4.39-3.

We have available an unlimited number of the six modules specified in the table given in Figure P4.39-4. The per unit cost for each module is indicated, and we would like the final cost to be as low as possible. Note that the D/C converter is running at a rate of “2T ”.

(b) Design the lowest-cost modified system if M = 2 in System A. Specify the parameters for all the modules used.

(c) Design the lowest-cost modified system if M = 4 in System A. Specify the parameters for all the modules used.