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Exam Questions Papers - Engineering

Q1:

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

A

B unity

C

D impulse at f = 0

ANS:B - unity

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.