Revision as of 20:58, 4 September 2008 by Choi88 (Talk)

For a continuous-time signal
$ Energy = \int_{t_1}^{t_2} \! |x(t)|^2\ dt ............. (1) $

Over an infinite period of time
$ Energy(\infty) = \lim_{T \to \infty} \int_{-T}^{T} \! |x(t)|^2\ dt = \int_{-\infty}^{\infty} \! |x(t)|^2\ dt .......... (2) $

If Equation 2 converges, Energy is finite.
If Equation 2 diverges, Energy is infinite.

$ P(\infty)=\lim_{T \to \infty} {\frac{E(\infty)}{2T}} = 0 $

Alumni Liaison

Correspondence Chess Grandmaster and Purdue Alumni

Prof. Dan Fleetwood