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If g(t) = e^{- p t²} then G(0) is __________ (where g(t)⇔ G(f)

unity

impulse at f = 0

Answer : Option B

Explanation :

The signal g(t) given above is a Gaussian pulse, and it satisfies the relation.

Therefore, its fourier transform is same as the signal itself in frequency domain.

i.e. G(f) = e^-pf²

Hence G(f)|_{f = 0} = e^-p(0) = 1.

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