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| − | Compute <math>E | + | Compute <math>E\infty</math> |
| − | <math>E\infty=\int_{-\infty}^\infty |\ | + | <math>x(t)=\cos(t)+j*\sin(t)</math> |
| + | |||
| + | <math>E\infty=\int_{-\infty}^\infty |x(t)|^2dt</math> | ||
| + | |||
| + | <math>E\infty=\int_{-\infty}^\infty |\cos(t)+j\sin(t)|^2dt</math> | ||
<math>E\infty=\int_{-\infty}^\infty |e^{j*t}|^2dt</math> | <math>E\infty=\int_{-\infty}^\infty |e^{j*t}|^2dt</math> | ||
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<math>E\infty=\int_{-\infty}^\infty |e^2*e^{j*t}|dt</math> | <math>E\infty=\int_{-\infty}^\infty |e^2*e^{j*t}|dt</math> | ||
| − | <math>E\infty=e^2/j* | + | <math>E\infty=e^2/j*(\infty-0)</math> |
| + | |||
| + | <math>E\infty=\infty</math> | ||
| + | |||
| + | Compute <math>P\infty</math> | ||
| + | |||
| + | <math>x(t)=\cos(t)+j*\sin(t)</math> | ||
| + | |||
| + | <math>\infty=1/(2*T)\int_{-\infty}^\infty |x(t)|^2dt</math> | ||
| + | |||
| + | <math>P\infty=\int_{-\infty}^\infty |\sin(t)+\cos(t)|^2dt</math> | ||
Revision as of 19:04, 20 June 2009
Compute $ E\infty $
$ x(t)=\cos(t)+j*\sin(t) $
$ E\infty=\int_{-\infty}^\infty |x(t)|^2dt $
$ E\infty=\int_{-\infty}^\infty |\cos(t)+j\sin(t)|^2dt $
$ E\infty=\int_{-\infty}^\infty |e^{j*t}|^2dt $
$ E\infty=\int_{-\infty}^\infty |e^2*e^{j*t}|dt $
$ E\infty=e^2/j*(\infty-0) $
$ E\infty=\infty $
Compute $ P\infty $
$ x(t)=\cos(t)+j*\sin(t) $
$ \infty=1/(2*T)\int_{-\infty}^\infty |x(t)|^2dt $
$ P\infty=\int_{-\infty}^\infty |\sin(t)+\cos(t)|^2dt $
