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Fourier Transform and Inverse Fourier

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

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Inverse fourier transform of a bessel function

The equation is J1(wg) where J1 is bessel functon of the first kind of order 1, w is angular frequency and g is a constant.

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Thanks

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