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

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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(ej?) and X(ej?).

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

y[n] = ?rc(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?

sc(t) = ?rc (t)

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

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Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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