I am looking for a fourier series to approximate the following wave form:
A constant DC voltage source charging a capacitor wired in series with a resistor for a time t=2L and then the capacitor is discharged "very" rapidly down to zero and the process repeats again and again ...
I am new to fourier series computations but I think that I am looking for the constants A0, An, and Bn where f(x) is V[1-e^-x/RC] in the interval [0,2L]
f(x) ~ A0 + Sigma[1,inf, An cos(n * pi * x/L) + Bn sin(n * pi * x * x/ L)]
A0 = 1/L Integral[0,2L, V[1-e^-x/RC] An = 1/L Integral[0,2L, (V[1-e^-x/RC)cos(n * pi * x/L)] Bn = 1/L Integral[0,2L, V[1-e^-x/RC]sin(n * pi *x/L)]
I could probably do the math, but I bet that this has been before. Is the math ok so far? Does anybody have a link to the final answer? Any help would be greatly appreciated. Thanks