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Fourier Transform and Inverse Fourier

Please see attachment.

1. What is the Fourier Transform for the convolution of sin(2t)*cos(2t).

2. Compute the inverse Fourier transform for X(w)= sin^2*3w

3. A continuous time signal x(t) has the Fourier transform
X(w) = 1/jw+b where b is a constant. Determine the Fourier transform for v(t) = x*(5t-4)

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Solution Summary

The solution shows detailed steps of calculating the Fourier transform and inverse Fourier transform of signals.