Let x c (t) bee a real-valued continuous-time signal with highest frequency 2? (250) radians/second. Furthermore, let
Question:
Let xc(t) bee a real-valued continuous-time signal with highest frequency 2? (250) radians/second. Furthermore, let yc(t) = xc(t ? 1 /1000).
(a) If x[n] = xc(n/500), is it theoretically possible to recover xc(t) from x[n]? Justify your answer.
(b) If y[n] = yc(n/500), is it theoretically possible to recover yc(t) from y[n]? Justify your answer.
(c) Is it possible to obtain y[n] from x[n] using the system in Figure? If so, determine H1(ej?).
(d) It is also possible to obtain y[n] from x[n] without any up sampling or down sampling using a single LTI system with frequency response H2(ej?). Determine H2(ej?).
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a The nyquist criterion states that x c t can be recovered as long as In this cas...View the full answer
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Related Book For 
Discrete Time Signal Processing
ISBN: 978-0137549207
2nd Edition
Authors: Alan V. Oppenheim, Rolan W. Schafer
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