Consider the system given in Figure. You may assume that Rc(j?) is bandlimited: i.e., Rc(j?) = 0, |?| ? 2? (1000), as shown in the figure.

(a) Sketch R(e^j?) and X(e^j?).

(b) Choose nonzero values for ?₀ and T₂ such that?

y[n] = ?r_c(nT₂)

for some nonzero constant ?. (you do not have to determine the value of ?.)

(c) Using the value of ?₀ you obtained in part (b), determine a choice for T₃ such that?

s_c(t) = ?r_c (t)

for some nonzero constant ?. (you do not have to determine the value of ?.)

x|n] s[n] yln] 12 1 3 s, (1) x|n] C/D D/C H(e ) T: (1.0 lol < 0, n < lwl s T , - H(e") = seconds 2000 |R() -271000 271000