GATE EE 2014 Set 1 — Question 45

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MCQ+2 / -0.67MediumFourier Transform PropertiesFourier Analysis & SamplingSignals & Systems

Signals & Systems → Fourier Analysis & Sampling → Fourier Transform Properties

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Let f(t)f(t) be a continuous time signal and let F(ω)F(\omega) be its Fourier Transform defined byF(ω)=f(t)ejωtdtF(\omega) = \int_{-\infty}^{\infty} f(t) e^{-j\omega t} dtDefine g(t)g(t) byg(t)=F(u)ejutdug(t) = \int_{-\infty}^{\infty} F(u) e^{-jut} duWhat is the relationship between f(t)f(t) and g(t)g(t)?
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