(CT Signal & its Fourier coefficients)
(CT Signal & its Fourier coefficients)
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Knowing that its Fourier series is
 
Knowing that its Fourier series is
  
<math>\ x(t) = (1+2j)(\frac{e^{jt} + e^{-jt}}{2}) + 5(\frac{e^{j4t} - e^{-j4t}}{2j}) \!</math>
+
<math>\ x(t) = (1+2j)(\frac{e^{jt} + e^{-jt}}{2}) + 5(\frac{e^{j4t} - e^{-j4t}}{2j}) </math>

Revision as of 20:16, 23 September 2008

CT Signal & its Fourier coefficients

Lets define the signal

$ \ x(t) = (1+2j)cos(t)+5sin(4t) $

Knowing that its Fourier series is

$ \ x(t) = (1+2j)(\frac{e^{jt} + e^{-jt}}{2}) + 5(\frac{e^{j4t} - e^{-j4t}}{2j}) $

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

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