Examlpe: Assume that an analog signal is given by a) x(t) = 5 cos(4 × 10 t) + 3 cos(6 x 10 tt),t 2 0 b) x(t) = 5 cos(4 x 103nt) + 1 cos(10 x 103tt), t 20 and is sampled at the rate of 8kHz. Sketch the spectrum for the sampled signal from 0 to 20kHz. Sketch the recovered analoge signal spectrum if an ideal LPF with a cutoff frequency of 4KHZ used to filter the sampled signal (y(n) = x(n) )to recover the original signal. 1 x,(f) == } >. X(f -nfs) Ts

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Examlpe:
Assume that an analog signal is given by
a) x(t) = 5 cos(4 × 10³nt) + 3 cos(6 x 10 nt),t 2 0
b) x(t) = 5 cos(4 × 10³nt) + 1 cos(10 x 10 rt),t N0
and is sampled at the rate of 8KHZ. Sketch the spectrum for the sampled signal from 0 to
20kHz. Sketch the recovered analoge signal spectrum if an ideal LPF with a cutoff frequency
of 4KHZ used to filter the sampled signal (y(n) = x(n) )to recover the original signal.
%3D
%3D
1
>
Ts
Xs(f)
X(f – nfs)
f
n=ー00
Transcribed Image Text:Examlpe: Assume that an analog signal is given by a) x(t) = 5 cos(4 × 10³nt) + 3 cos(6 x 10 nt),t 2 0 b) x(t) = 5 cos(4 × 10³nt) + 1 cos(10 x 10 rt),t N0 and is sampled at the rate of 8KHZ. Sketch the spectrum for the sampled signal from 0 to 20kHz. Sketch the recovered analoge signal spectrum if an ideal LPF with a cutoff frequency of 4KHZ used to filter the sampled signal (y(n) = x(n) )to recover the original signal. %3D %3D 1 > Ts Xs(f) X(f – nfs) f n=ー00
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