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Over an infinite period of time <br> | Over an infinite period of time <br> | ||
− | + | <math>Energy(\infty) = \lim_{T \to \infty} \int_{-T}^{T} \! |x(t)|^2\ dt</math> <br><br> | |
+ | <math> \lim_{x \to \infty} f(x) = L </math> |
Revision as of 20:47, 4 September 2008
For a continuous-time signal
$ Energy = \int_{t_1}^{t_2} \! |x(t)|^2\ dt $
Over an infinite period of time
$ Energy(\infty) = \lim_{T \to \infty} \int_{-T}^{T} \! |x(t)|^2\ dt $
$ \lim_{x \to \infty} f(x) = L $