Determine the range of permissible cutoff frequencies for the ideal low pass filter used to reconstruct the

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Determine the range of permissible cutoff frequencies for the ideal low pass filter used to reconstruct the signal 

 x(t) = 10 cos2(600πt) cos(2400πt)

Which is sampled at 4500 samples per second. Sketch X(f) and Xδ(f). Find the minimum allowable sampling frequency.

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