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<center>'''If you enjoy using this collective table of formula, please consider  [https://donate.purdue.edu/DesignateGift.aspx?allocation=017637&appealCode=11213&amount=25&allocationDescription=RheaProjectMimiBoutin donating to Project Rhea].'''</center>
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<center>'''If you enjoy using this [[Collective_Table_of_Formulas|collective table of formulas]], please consider  [https://donate.purdue.edu/DesignateGift.aspx?allocation=017637&appealCode=11213&amount=25&allocationDescription=RheaProjectMimiBoutin donating to Project Rhea].'''</center>
 
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Revision as of 04:55, 2 November 2011

If you enjoy using this collective table of formulas, please consider donating to Project Rhea.


Signal Metrics Definitions and Formulas
Metrics for Continuous-time Signals
(info) CT signal energy $ E_\infty=\int_{-\infty}^\infty | x(t) |^2 dt $
(info) 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 \, $

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

Dr. Paul Garrett