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Practice Question on Computing the Fourier Transform of a Discrete-time Signal
Compute the Fourier transform of the signal
$ x[n] = u[n+1]-u[n-2].\ $
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Answer 1
$ \mathcal X (\omega) = \sum_{n=-\infty}^\infty (u[n+1]-u[n-2])e^{-j\omega n}=\sum_{n=-1}^2 e^{-j\omega n}= $
$ \mathcal X (\omega) = e^{j\omega}+1+e^{-j\omega}+e^{-j2\omega} $
--Cmcmican 19:57, 28 February 2011 (UTC)
Answer 2
Write it here.
Answer 3
Write it here.