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| align="right" style="padding-right: 1em;" | CT signal energy ||<math>E_\infty=\int_{-\infty}^\infty | x(t) |^2 dt </math> | | align="right" style="padding-right: 1em;" | CT signal energy ||<math>E_\infty=\int_{-\infty}^\infty | x(t) |^2 dt </math> | ||
+ | |- | ||
+ | | align="right" style="padding-right: 1em;" | CT signal average power ||<math>P_\infty = \lim_{T \to \infty} \frac{1}{2T} \int_{-T}^{T} \left | x (t) \right |^2 \, dt </math> | ||
|- | |- | ||
! colspan="2" style="background: #eee;" | Metrics for Discrete-time Signals | ! colspan="2" style="background: #eee;" | Metrics for Discrete-time Signals | ||
|- | |- | ||
| align="right" style="padding-right: 1em;" | DT signal energy || <math>E_\infty=\sum_{n=-\infty}^\infty | x[n] |^2 </math> | | align="right" style="padding-right: 1em;" | DT signal energy || <math>E_\infty=\sum_{n=-\infty}^\infty | x[n] |^2 </math> | ||
+ | |- | ||
+ | | align="right" style="padding-right: 1em;" | DT signal average power ||<math>P_\infty = \lim_{N \to \infty} \frac{1}{2N+1} \sum_{n=-N}^{N} \left | x [n] \right |^2 \, </math> | ||
|- | |- | ||
|} | |} | ||
− | |||
---- | ---- | ||
[[ MegaCollectiveTableTrial1|Back to Collective Table]] | [[ MegaCollectiveTableTrial1|Back to Collective Table]] |
Revision as of 07:01, 30 October 2009
Signal Metrics Definitions and Formulas | |
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Metrics for Continuous-time Signals | |
CT signal energy | $ E_\infty=\int_{-\infty}^\infty | x(t) |^2 dt $ |
CT signal average power | $ P_\infty = \lim_{T \to \infty} \frac{1}{2T} \int_{-T}^{T} \left | x (t) \right |^2 \, dt $ |
Metrics for Discrete-time Signals | |
DT signal energy | $ E_\infty=\sum_{n=-\infty}^\infty | x[n] |^2 $ |
DT signal average power | $ P_\infty = \lim_{N \to \infty} \frac{1}{2N+1} \sum_{n=-N}^{N} \left | x [n] \right |^2 \, $ |