(a) Use the Fourier transform of x(t) = exp (-t) u (t) - exp (t) u (-t)...

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(a) Use the Fourier transform of x(t) = exp (-Î±t) u (t) - exp (Î±t) u (-t) where Î± > 0

t > 0 1, sgn (t) = -1, t< 0

(b) Use the result above and the relation u(t) = 1/2[sgn (t) + 1] to find Fourier transform of the unit step.

(c) Use the integration theorem and the Fourier transform of the unit impulse function to find the Fourier transform of the unit step. Compare the result with part (b).

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Principles of Communications Systems, Modulation and Noise

ISBN: 978-8126556793

7th edition

Authors: Rodger E. Ziemer, William H. Tranter

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Question Posted: Sep 13, 2018 11:29 AM

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(a) Use the Fourier transform of x(t) = exp (-t) u (t) - exp (t) u (-t)...

Question:

t > 0 1, sgn (t) = -1, t< 0

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a Using a table of Fourier transforms and the time reversal theorem the Fourier transfo...View the full answer

Principles of Communications Systems, Modulation and Noise

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