Electronics and Communication Engineering - Exam Questions Papers - Discussion

Discussion Forum : Exam Questions Papers - Exam Paper 2 (Q.No. 3)
If g(t) = e- p t2 then G(0) is __________ (where g(t)⇔ G(f)
impulse at f = 0
Answer: Option

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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