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<math>E_{\infty} = \int_{-\infty}^{\infty}|x(t)|^{2}dt</math> | <math>E_{\infty} = \int_{-\infty}^{\infty}|x(t)|^{2}dt</math> | ||
| − | <math>E_{\infty} = \int_{-\infty}^{\infty}</math> | + | <math>E_{\infty} = \int_{-\infty}^{\infty}|\sqrt{t}|^{2}dt</math> |
| + | |||
| + | <math>E_{\infty} = \int_{-\infty}^{\infty}t dt</math> | ||
| + | |||
| + | <math>E_{\infty} = 1/2*t^{2}|_{-\infty}^{0}+1/2*t^{2}|_{0}^{\infty}</math> | ||
| + | |||
| + | <math>E_{\infty} = \infty</math> | ||
| + | |||
| + | |||
| + | |||
| + | <math>P_{\infty} = lim_{T\rightarrow\infty}\frac{1}{2T}\int_{-T}^{T}|x(t)|^{2}dt</math> | ||
| + | |||
| + | <math>P_{\infty} = lim_{T\rightarrow\infty}\frac{1}{2T}(.5T|_{-\infty}^{0}+.5T|_{0}^{\infty})</math> | ||
| + | |||
| + | <math>P_{\infty} = lim_{T\rightarrow\infty}\frac{1}{4}(T|_{-\infty}^{0}+T|_{0}^{\infty})</math> | ||
| + | |||
| + | <math>P_{\infty} = \infty</math> | ||
Revision as of 04:39, 22 June 2009
$ x(t) = \sqrt{t} $
$ E_{\infty} = \int_{-\infty}^{\infty}|x(t)|^{2}dt $
$ E_{\infty} = \int_{-\infty}^{\infty}|\sqrt{t}|^{2}dt $
$ E_{\infty} = \int_{-\infty}^{\infty}t dt $
$ E_{\infty} = 1/2*t^{2}|_{-\infty}^{0}+1/2*t^{2}|_{0}^{\infty} $
$ E_{\infty} = \infty $
$ P_{\infty} = lim_{T\rightarrow\infty}\frac{1}{2T}\int_{-T}^{T}|x(t)|^{2}dt $
$ P_{\infty} = lim_{T\rightarrow\infty}\frac{1}{2T}(.5T|_{-\infty}^{0}+.5T|_{0}^{\infty}) $
$ P_{\infty} = lim_{T\rightarrow\infty}\frac{1}{4}(T|_{-\infty}^{0}+T|_{0}^{\infty}) $
$ P_{\infty} = \infty $
