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<math>x(t)=tu(t)</math> | <math>x(t)=tu(t)</math> | ||
| − | <math>E_\infty = \int_{-\infty}^\infty | | + | <math>E_\infty = \int_{-\infty}^\infty |tu(t)|^2\,dt)</math> |
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| + | <math>E_\infty = \int_{0}^\infty t^2\,dt)</math> | ||
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| + | <math>E_\infty =\frac{t^3}{3}\bigg]_0^\infty)</math> | ||
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| + | <math>E_\infty =\infty-0 = \infty</math> | ||
| + | |||
| + | <math>P_\infty = lim_{T \to \infty} \ \frac{1}{2T} \int_{-T}^T |tu(t)|^2\,dt</math> | ||
| + | |||
| + | <math>P_\infty = lim_{T \to \infty} \ \frac{1}{2T} \int_{0}^T t^2\,dt</math> | ||
| + | |||
| + | <math>P_\infty = lim_{T \to \infty} \ \frac{1}{2T} \frac{t^3}{3}\bigg]_0^\infty</math> | ||
Revision as of 19:54, 21 June 2009
$ x(t)=tu(t) $
$ E_\infty = \int_{-\infty}^\infty |tu(t)|^2\,dt) $
$ E_\infty = \int_{0}^\infty t^2\,dt) $
$ E_\infty =\frac{t^3}{3}\bigg]_0^\infty) $
$ E_\infty =\infty-0 = \infty $
$ P_\infty = lim_{T \to \infty} \ \frac{1}{2T} \int_{-T}^T |tu(t)|^2\,dt $
$ P_\infty = lim_{T \to \infty} \ \frac{1}{2T} \int_{0}^T t^2\,dt $
$ P_\infty = lim_{T \to \infty} \ \frac{1}{2T} \frac{t^3}{3}\bigg]_0^\infty $
