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Find the inverse Fourier transform of e^j2t.

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in Signals and Systems by (1.2m points)
Find the inverse Fourier transform of e^j2t.

(a) 2πδ(ω-2)

(b) πδ(ω-2)

(c) πδ(ω+2)

(d) 2πδ(ω+2)

This question was addressed to me by my school principal while I was bunking the class.

My question comes from Inverse Fourier Transform in portion Fourier Transform of Signals and Systems

1 Answer

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by (42.1k points)
The correct choice is (a) 2πδ(ω-2)

Best explanation: We know that e^jω0 t ↔ 2πδ(ω-ω0)

∴ e^j2t ↔ 2πδ(ω-2).

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