(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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-Bill Snow
 
-Bill Snow
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[https://kiwi.ecn.purdue.edu/rhea/index.php/Definitions Go Back]

Latest revision as of 07:39, 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

Go Back

Alumni Liaison

BSEE 2004, current Ph.D. student researching signal and image processing.

Landis Huffman