(New page: Total Energy: <math>E_{\infty} = \int^{\infty}_{-\infty} |x(t)|^2 dt = \lim_{T\to\infty} \int^T_{-T} |x(t)|^2 dt</math> Average Power: <math>P_{\infty} = \lim_{T\to\infty} \frac{1}{2T} ...) |
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Latest revision as of 06:39, 16 June 2009
Total Energy:
$ E_{\infty} = \int^{\infty}_{-\infty} |x(t)|^2 dt = \lim_{T\to\infty} \int^T_{-T} |x(t)|^2 dt $
Average Power:
$ P_{\infty} = \lim_{T\to\infty} \frac{1}{2T} \int^T_{-T} |x(t)|^2 dt $
Therefore if
$ E_{\infty} < \infty $,
$ P_{\infty} = \lim_{T\to\infty} \frac{E_{\infty}}{2T} = 0 $
-Bill Snow
