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Fourier Transform / Sampling

The figure attached shows the continuous-time Fourier transform X of a continuous-time signal x(t).

In other words, x(t) is the continuous time signal obtained by modulation of x(t) by the periodic impulse train s(t)

a) Sketch s(t) if the sampling frequency is 2000Hz.
b) Sketch X if the sampling frequency is 2000Hz.
c) What is the lowest sampling frequency that avoids distortion due to aliasing?

(see attached for full description)

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Solution Summary

The solution includes calculations using a Fourier transform for continuous-time signals as well as sketched diagrams.

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