(Removing all content from page) |
|||
| Line 1: | Line 1: | ||
| + | === Example === | ||
| + | Given that a signal <math>\,\! x(t)=2t^2+1</math>, find the Energy and Power from <math>\,\!t_1=1</math> to <math>\,\!t_2=4</math> | ||
| + | <math>\,\! E=\int_{1}^{4} |2t^2+1|^2\, dt | ||
| + | |||
| + | =\int_{1}^{4} |4t^4+4t^2+1|\, dt | ||
| + | |||
| + | =\frac{4}{5}t^5+\frac{4}{3}t^3+t\bigg]_0^3 | ||
| + | |||
| + | =905.4</math> | ||
| + | |||
| + | <math>\,\! | ||
| + | P=\frac{1}{t_2-t_1}905.4=301.8 | ||
| + | |||
| + | |||
| + | </math> | ||
Revision as of 13:12, 5 September 2008
Example
Given that a signal $ \,\! x(t)=2t^2+1 $, find the Energy and Power from $ \,\!t_1=1 $ to $ \,\!t_2=4 $
$ \,\! E=\int_{1}^{4} |2t^2+1|^2\, dt =\int_{1}^{4} |4t^4+4t^2+1|\, dt =\frac{4}{5}t^5+\frac{4}{3}t^3+t\bigg]_0^3 =905.4 $
$ \,\! P=\frac{1}{t_2-t_1}905.4=301.8 $
