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Uses of eulers equation in fourier series

  1. Sep 6, 2012 #1
    greetings,

    why do we use Euler equation that is e ^(jωt)=cos(ωt)+i sin(ωt) in Fourier series and what does it represent?
    advanced thanks.
     
  2. jcsd
  3. Sep 6, 2012 #2

    uart

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    In general for a real periodic function, the Fourier decomposition is composed of both a Sine series and a Cosine series, both having real coefficients. The complex Fourier series (of a real function) that you describe is a convenient way of combining both of these into a single series solution.

    It also has the advantage that often both sets of coefficients can be found using just the one integral equation, as opposed to a separate one for each of the Sine and Cosine series.
     
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