Revision as of 21:57, 4 September 2008 by Jpfister (Talk)

Signal

$ x(t) = e^{jt} $

Energy

$ E_\infty = \int_{-\infty}^\infty |x(t)|^2dt $

$ = \int_{-\infty}^\infty |e^{jt}|^2dt $

$ = \int_{-\infty}^\infty |cos(t) + jsin(t)|^2dt $ (Euler's Formula)

$ = \int_{-\infty}^\infty {\sqrt{cos^2(t) + sin^2(t)}}^2dt $ (Magnitude of a Complex Number)

$ = \int_{-\infty}^\infty dt $

$ = t|_{-\infty}^\infty $

$ = \infty - (-\infty) $

$ = \infty $

Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva