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


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

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Jack D'Aurizio, Arnaldo, kjetil b halvorsen, mechanodroid, Fabian
If this question can be reworded to fit the rules in the help center, please edit the question.

  • $\begingroup$ 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