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! colspan="2" style="background: #bbb; font-size: 110%;" | General Purpose Formulas
 
! colspan="2" style="background: #bbb; font-size: 110%;" | General Purpose Formulas
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! colspan="2" style="background: #eee;" | Euler's Formula and Related Equalities
 
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| align="right" style="padding-right: 1em;" | Euler's formula || <math>e^{jw_0t}=\cos w_0t+j\sin w_0t</math>
 
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| align="right" style="padding-right: 1em;" | Cosine function in terms of complex exponentials|| <math>\cos\theta=\frac{e^{j\theta}+e^{-j\theta}}{2}</math>
 
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| align="right" style="padding-right: 1em;" | Sine function in terms of complex exponentials||<math>\sin\theta=\frac{e^{j\theta}-e^{-j\theta}}{2j}</math>
 
 
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! colspan="2" style="background: #eee;" | Function (or Signal) Metrics
 
! colspan="2" style="background: #eee;" | Function (or Signal) Metrics

Latest revision as of 06:23, 29 October 2009

Some General Purpose Formulas and Definitions

General Purpose Formulas
Function (or Signal) Metrics
CT signal energy $ E_\infty=\int_{-\infty}^\infty | x(t) |^2 dt $
DT signal energy $ E_\infty=\sum_{n=-\infty}^\infty | x[n] |^2 $

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