Revision as of 04:03, 5 September 2008 by Mfrankos (Talk)

Signal Energy

Signal Energy expended from $ t_1\! $ to $ t_2\! $ for CT functions is given by the formula $ E = \int_{t_1}^{t_2} \! |x(t)|^2\ dt $

The total signal energy for a signal can be found by taking the limits for the integral $ t_1\! $ and $ t_2\! $ as $ -inf\! $ and $ inf\! $ respectively

Signal Power

For CT functions, the power of a signal from $ t_1\! $ to $ t_2\! $ is given by the function $ P_{avg}=\frac{1}{t_2-t_1} \int_{t_1}^{t_2} |x(t)|^2\ dt \! $

The total signal power is given by the function $ P_{inf}=\lim{t->inf} \frac{1}{2t} \int_{t}^{-t} |x(t)|^2\ dt \! $

$ \sum^{N}_{n=-N} $

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett