Given that F() = F[f(t)], prove the following results, using the definition of Fourier transform: (a) F[f(t

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Given that F(ω) = F[f(t)], prove the following results, using the definition of Fourier transform:
(a) F[f(t - t0)] = e-jωt, F(ω)
(b) F[df(t)/dt] = jω F(ω)
(c) F[f(-t) = F(-ω)
(d) F[tf(t)] = j d/dω F(ω)
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Fundamentals Of Electric Circuits

ISBN: 9780073301150

3rd Edition

Authors: Matthew Sadiku, Charles Alexander

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