One Famous Signal is Gaussian Pulse:
$$ \mathbf {e^{-at^2}\Leftrightarrow \sqrt{\frac{\pi}{a}}\,e^{-\frac{\pi^2 \omega^2}{a}}} $$
Can You Think of Any Other Signals other Than Zero(Which is Trivial)??
$$ \mathbf {e^{-at^2}\Leftrightarrow \sqrt{\frac{\pi}{a}}\,e^{-\frac{\pi^2 \omega^2}{a}}} $$
Can You Think of Any Other Signals other Than Zero(Which is Trivial)??