(New page: <math>x(t) = \sqrt{t} E_{\infty} = \int_{-\infty}^{\infty}|x(t)|^{2} </math>) |
|||
| (3 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
| − | <math>x(t) = \sqrt{t} | + | <math>x(t) = \sqrt{t}</math> |
| − | E_{\infty} = \int_{-\infty}^{\infty}|x(t)|^{2} | + | |
| − | </math> | + | <math>E_{\infty} = \int_{-\infty}^{\infty}|x(t)|^{2}dt</math> |
| + | |||
| + | <math>E_{\infty} = \int_{-\infty}^{\infty}|\sqrt{t}|^{2}dt</math> | ||
| + | |||
| + | <math>E_{\infty} = \int_{-\infty}^{\infty}t dt</math> | ||
| + | |||
| + | <math>E_{\infty} = \frac{1}{2}t^{2}|_{-\infty}^{0}+\frac{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^{2}|_{-\infty}^{0}+.5T^{2}|_{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> | ||
Latest revision as of 08:24, 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} = \frac{1}{2}t^{2}|_{-\infty}^{0}+\frac{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^{2}|_{-\infty}^{0}+.5T^{2}|_{0}^{\infty}) $
$ P_{\infty} = lim_{T\rightarrow\infty}\frac{1}{4}(T|_{-\infty}^{0}+T|_{0}^{\infty}) $
$ P_{\infty} = \infty $
