I have the following laplace function(adsbygoogle = window.adsbygoogle || []).push({});

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 a_{0}, a_{n}, b_{n}be defined, I mean what will the integration limits?

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# I Inverse Laplace to Fourier series

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