(New page: Let x(t)= <math>cos(t)</math> Then <math>X(\omega) = \int_{-\infty}^{\infty}x(t)e^{-j\omega t}dt</math> <math>X(\omega) = \int_{-\infty}^{\infty}cos(2t)e^{-j\omega t}dt \,</math> <mat...) |
(No difference)
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Revision as of 07:47, 8 October 2008
Let x(t)= $ cos(t) $
Then
$ X(\omega) = \int_{-\infty}^{\infty}x(t)e^{-j\omega t}dt $
$ X(\omega) = \int_{-\infty}^{\infty}cos(2t)e^{-j\omega t}dt \, $
$ X(\omega) = \int_{-\infty}^{\infty}\frac{1}{2}(e^{jt}+e^{-jt})e^{-j\omega t}dt \, $
