- #1
Aziza
- 190
- 1
the complex form of Fourier series is:
f(t) = Ʃ c*e^[iωnt]
where c are the coefficients, the sum is from n= -inf to +inf; ω= 2*pi/T, where T is period...
but if you just look at e^[iωnt] = e^[ i (2*pi*n*t)/T] = {e^[ i (2*pi*n)] }^(t/T)
where I just took out the t/T...
well, e^[ i (2*pi*n)] = 1, since n is integer...and (1)^(t/T) is still equal to 1...so shouldn't the complex Fourier form just reduce to f(t) = Ʃ c ?
I feel i must be doing something stupid, if someone could just please point out what exactly...
f(t) = Ʃ c*e^[iωnt]
where c are the coefficients, the sum is from n= -inf to +inf; ω= 2*pi/T, where T is period...
but if you just look at e^[iωnt] = e^[ i (2*pi*n*t)/T] = {e^[ i (2*pi*n)] }^(t/T)
where I just took out the t/T...
well, e^[ i (2*pi*n)] = 1, since n is integer...and (1)^(t/T) is still equal to 1...so shouldn't the complex Fourier form just reduce to f(t) = Ʃ c ?
I feel i must be doing something stupid, if someone could just please point out what exactly...