Line 6: Line 6:
 
|-
 
|-
 
| 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 08:01, 30 October 2009

Signal Metrics Definitions and Formulas
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 \, $

Back to Collective Table

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett