Consider the system in figure. The input signal x c (t) has the Fourier transform shown in

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Consider the system in figure. The input signal xc(t) has the Fourier transform shown in figure with ?0 = 2? (1000) radians/second. The discrete-time system is an ideal lowpass filter with frequency response

image

(a) What is the minimum sampling rate Fs = 1/T such that no aliasing occurs in sampling the input?

(b) If ?c = ? / 2, what is the minimum sampling rate such that yc(t) = xc(t)?

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Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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