A complex-valued continuous-time signal x c (t) has the Fourier transform shown in figure, where (? 2
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A complex-valued continuous-time signal xc(t) has the Fourier transform shown in figure, where (?2 ? ?1) = ??. This signal is sampled to produce the sequence x[n] = xc(nT).
(a) Sketch the Fourier transform X(ej?) of the sequence x[n] for T = ? / ?2.
(b) What is the lowest sampling frequency that can be used without incurring any aliasing distortion, i.e., so that xc(t) can be recovered from x[n]?
(c) Draw the block diagram of a system that can be used to recover xc(t) from x[n] if the sampling rate is greater than or equal to the rate determine in part (b). Assume that (complex) ideal filters are available.
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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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