1.

The Fourier transform of the signal \( \ x(t)=e^{-at^2}\), a > 0 will be

A. \(\sqrt{\frac{\pi}{\omega}}e^{\omega^2/2a}\)
B. \(\sqrt{\frac{\pi}{a}}e^{\omega^2/2a^2}\)
C. \(\sqrt{\frac{\pi}{a}}e^{-\omega^2/4a}\)
D. \(\sqrt{\frac{\pi}{\omega}}e^{-\omega^2/2a}\)
Answer» D. \(\sqrt{\frac{\pi}{\omega}}e^{-\omega^2/2a}\)


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