Calculate the inverse fourier transform

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Reference no: EM13138323

Fourier transform problems

1. A continuous time signal x(t) has the Fourier transform X(ω) = 1/(jω+b) where b is a constant. Determine the Fourier transform for v(t) = t^2 x(t).

2. A continuous time signal x(t) has the Fourier transform X(ω) = 1/(jω+b) where b is a constant. Determine the Fourier transform for v(t) = x(t) * x(t).

3. Compute the Fourier transform for x(t) = te^-t u(t)

4. Compute the inverse Fourier transform for X(ω) = cos 4ω.

5. A signal with the highest frequency component at 10 kHz is to be sampled. To reconstruct the signal, the sampling must be done at a minimum frequency of?

Reference no: EM13138323

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