I want to compute the trigonometric fourier series for x[t]= e^(-|t|) from [-1,1].
The way I see it:
I need to break down the function:
for [-1,0] x[t]=e^(t)
for [0,1] x[t]=e^(-t)
Compute the trigo fourier for each part and add them.
I also was thinking that the function to even, I compute only the coefficients with sin with x[t]=e^(-t)??.
what is the right way of doing it?