in Signals and Systems edited by
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Consider a signal defined by

$x(t)= \begin{cases} e^{j10 t} & \text{for } \mid t \mid \leq 1 \\ 0& \text{for }   \mid t \mid  > 1\end{cases}$

Its Fourier Transform is

  1. $\dfrac{2 \sin (\omega -10)}{\omega - 10}\\$
  2. $2e^{j10}\dfrac{ \sin (\omega -10)}{\omega - 10} \\$
  3. $\dfrac{2 \sin \omega}{\omega - 10} \\$
  4. $e^{j10 \omega }\dfrac{2 \sin\omega }{\omega }$
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