Given an analog signal x(t) = 4 Cos( 4n 2000t) + Cos( 4n 2500t) + 3Cos( 2n 3000t) + Cos( 2π 6000t) And its sampled at the rate of 8 KHz 1. Sketch the spectrum of the sampled signal up to 20 KHz 2. If an ideal Low Pass Filter with a cut off frequency of 4 KHz is used to recover the original signal, could we can recover the original signal if not? why?

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Given an analog signal
x(t) = 4 Cos( 4n 2000t) + Cos( 4n 2500t) + 3Cos( 2n 3000t) +
Cos( 2n 6000t)
And its sampled at the rate of 8 KHz
1. Sketch the spectrum of the sampled signal up to 20 KHz
2. If an ideal Low Pass Filter with a cut off frequency of 4 KHz is used to
recover the original signal, could we can recover the original signal if not?
why?
Transcribed Image Text:Given an analog signal x(t) = 4 Cos( 4n 2000t) + Cos( 4n 2500t) + 3Cos( 2n 3000t) + Cos( 2n 6000t) And its sampled at the rate of 8 KHz 1. Sketch the spectrum of the sampled signal up to 20 KHz 2. If an ideal Low Pass Filter with a cut off frequency of 4 KHz is used to recover the original signal, could we can recover the original signal if not? why?
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