In the system shown in Figure P4.34, the individual blocks are defined as indicated....

In the system shown in Figure P4.34, the individual blocks are defined as indicated.

(a) Specify a choice for T, T₁, and h₁(t) so that y_c(t) and x_c(t) are guaranteed to be equal for any choice of s(t).

(b) State whether your choice in (a) is unique or whether there are other choices for T, T₁, and h₁(t) that will guarantee that y_c(t) and x_c(t) are equal. As usual, clearly show your reasoning.

(c) For this part, we are interested in what is often referred to as consistent resampling. Specifically, the system A constructs a continuous-time signal yc(t) from xd [n] the sequence of samples of x_c(t) and is then resampled to obtain y_d [n]. The resampling is referred to as consistent if y_d [n] = x_d [n]. Determine the most general conditions you can on T, T₁, and h₁(t) so that y_d[n] = x_d[n].