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I have tried to solve the transform for this exponential but haven't been able to work out how to do it.

Find the fourier transform of the following time signal:

g(t) = $8 cos⁴ ( 2pi f_c t)$ + $2e ^{ -2t -2}$

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closed as off-topic by Jack D'Aurizio, Arnaldo, kjetil b halvorsen, mechanodroid, Fabian Oct 16 '17 at 19:12

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  • $\begingroup$ What is the domain of this function? All of $\mathbb R$? $\endgroup$ – Bungo Oct 16 '17 at 18:36
  • $\begingroup$ Doesn't have a Fourier transform (at least not in the conventional sense)... $\endgroup$ – Fabian Oct 16 '17 at 18:38
  • $\begingroup$ Not even in $\mathcal S' (\mathbb R)$. $\endgroup$ – Martin Oct 20 '17 at 7:44
  • $\begingroup$ One might suspect that the above signal is meant to be $2H(t)e^{-2t-2}$, where $H$ is the Heaviside-function. In that case the fourier tranform is $\frac{e^{-2}}{2+i\xi}$. $\endgroup$ – Martin Oct 20 '17 at 7:51