(New page: first, <math>e^{2jt}\rightarrow system\rightarrow t*e^{-2jt}</math> <math>e^{-2jt}\rightarrow system\rightarrow t*e^{2jt}</math>)
 
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first,
 
first,
 +
 +
<math>e^{2jt}=cos(2t) + jsin(2t)</math>
 +
 +
<math>e^{-2jt}=cos(2t) - jsin(2t)</math>
 +
 +
  
 
<math>e^{2jt}\rightarrow system\rightarrow t*e^{-2jt}</math>
 
<math>e^{2jt}\rightarrow system\rightarrow t*e^{-2jt}</math>
  
 
<math>e^{-2jt}\rightarrow system\rightarrow t*e^{2jt}</math>
 
<math>e^{-2jt}\rightarrow system\rightarrow t*e^{2jt}</math>
 +
 +
input is
 +
 +
<math>x(t)=\cos(2t)</math>

Revision as of 06:23, 18 September 2008

first,

$ e^{2jt}=cos(2t) + jsin(2t) $

$ e^{-2jt}=cos(2t) - jsin(2t) $


$ e^{2jt}\rightarrow system\rightarrow t*e^{-2jt} $

$ e^{-2jt}\rightarrow system\rightarrow t*e^{2jt} $

input is

$ x(t)=\cos(2t) $

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

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