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Asked: 2023-07-21T23:38:34-04:00 In:

Consider the signal x(t) with Fourier transform as shown 1) What is the minimum sampling rate for sampling this signal without causing aliasing? 2) Suppose the sampling rate is fs = 1.5 MHz . Plot the spectrum of the sampled signal. Give a precise plot. 3) Suppose the sampling rate is now fs = 4 MHz . Plot the spectrum of the sampled signal. Give a precise plot. Show how to recover the original continuous-time analog signal x(t). 4) Suppose we quantize the samples amplitudes (obtained with the sampling rate 4 MHz) to 128 levels. Find the resulting bit rate for the digital signal.

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Consider the signal x(t) with Fourier transform as shownConsider the signal x(t) with Fourier transform as shown 1) What is the minimum sampling rate for sampling this signal without causing aliasing? 2) Suppose the sampling rate is fs = 1.5 MHz . Plot the spectrum of the sampled signal. Give a precise plot. 3) Suppose the sampling rate is now fs = 4 MHz . Plot the spectrum of the sampled signal. Give a precise plot. Show how to recover the original continuous-time analog signal x(t). 4) Suppose we quantize the samples amplitudes (obtained with the sampling rate 4 MHz) to 128 levels. Find the resulting bit rate for the digital signal.

 

 

 

1) What is the minimum sampling rate for sampling this signal without causing aliasing?
2) Suppose the sampling rate is fs = 1.5 MHz . Plot the spectrum of the sampled signal.
Give a precise plot.
3) Suppose the sampling rate is now fs = 4 MHz . Plot the spectrum of the sampled
signal. Give a precise plot. Show how to recover the original continuous-time analog
signal x(t).
4) Suppose we quantize the samples amplitudes (obtained with the sampling rate
4 MHz) to 128 levels. Find the resulting bit rate for the digital signal.

ee 381

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