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I Inverse Laplace to Fourier series

  1. Oct 22, 2016 #1
    I have the following laplace function
    F(s) = (A/(s + C)) * (1/s - exp(-sα)/s)/(1 - exp(-sT))

    I think that the inverse laplace will be-
    f(t) = ((A/C)*u(t) - (A/C)*exp(-Ct)*u(t)) - ((A/C)*u(t-α) - (A/C)*exp(-C(t-α))*u(t-α))
    and
    f(t+T)=f(t)

    Now I want to find the Fourier series expansion of f(t) and find the magnitudes of sin(2πt/T) and cos(2πt/T), how should a0, an, bn be defined, I mean what will the integration limits?
     
  2. jcsd
  3. Oct 27, 2016 #2
    Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.
     
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