A signal f(t) is sampled at a rate of wo rad/s to give a sampled signal fs(t). The Fourier transform of f(t) is F (w) is shown graphically in Figure A1. Sketch the spectrum of the sampled signal, denoted by F(w), for the cases: wo > 2wm, wo = 4wm/3, and wo = wm. In each case, indicate the spectrum that appears at the output of an ideal reconstruction filter. 1 F(w) -@m -0/3 0 00/3 Figure A1: Fourier transform of f(t). @ m 3 (0) C

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A signal f(t) is sampled at a rate of wå rad/s to give a sampled signal
fs(t). The Fourier transform of f(t) is F (w) is shown graphically in
Figure A1.
Sketch the spectrum of the sampled signal, denoted by F(w), for
the cases: wo > 2wm, wo 4wm/3, and wo = Wm. In each
case, indicate the spectrum that appears at the output of an ideal
reconstruction filter.
1
m
F(w)
=
-0/30 0/3
@m
Figure A1: Fourier transform of ƒ (t).
3
(=
Transcribed Image Text:A signal f(t) is sampled at a rate of wå rad/s to give a sampled signal fs(t). The Fourier transform of f(t) is F (w) is shown graphically in Figure A1. Sketch the spectrum of the sampled signal, denoted by F(w), for the cases: wo > 2wm, wo 4wm/3, and wo = Wm. In each case, indicate the spectrum that appears at the output of an ideal reconstruction filter. 1 m F(w) = -0/30 0/3 @m Figure A1: Fourier transform of ƒ (t). 3 (=
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