(The basics of linearity)
(The basics of linearity)
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<math>\cos 2t = \mathrm{Re}\{e^{jt}\} ={e^{2jt} + e^{-2jt} \over 2}</math>
 
<math>\cos 2t = \mathrm{Re}\{e^{jt}\} ={e^{2jt} + e^{-2jt} \over 2}</math>
  
<math> cos 2t = e^{2jt} \over 2 + e^{-2jt} \over 2 </math>
+
<math> cos 2t = {e^{2jt} \over 2} + {e^{-2jt} \over 2} </math>

Revision as of 05:16, 19 September 2008

The basics of linearity

$ e^{(2jt)} $ --->[system]--->$ te^{(-2jt)} $

$ e^{(-2jt)} $ --->[system]--->$ te^{(2jt)} $

$ \cos x = \mathrm{Re}\{e^{ix}\} ={e^{ix} + e^{-ix} \over 2} $

$ \cos 2t = \mathrm{Re}\{e^{jt}\} ={e^{2jt} + e^{-2jt} \over 2} $

$ cos 2t = {e^{2jt} \over 2} + {e^{-2jt} \over 2} $

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