# Fourier Coefficients

Nusc

## Homework Statement

f(t) = 1 0<=t<T/2
-1 T/2 <=t<=T

ie. step function.

frequency w_0 = 2pi/T

## The Attempt at a Solution

What's the definition for the fourier coefficients a_n and b_n again? Not the one in wikipedia.

Dr.D
Show us the work you have done on this. There are defining integrals for these coefficients, so set them up and try evaluating them.

Nusc
$$a_n = \frac{1}{\pi} \int_0^{T/2} 1*cos(nt) dt +\frac{1}{\pi} \int_{T/2}^{T} (-1)*cos(nt) dt$$

$$b_n = \frac{1}{\pi} \int_0^{T/2} 1*sin(nt) dt +\frac{1}{\pi} \int_{T/2}^{T} (-1)*sin(nt) dt$$

I think the normalization factor is incorrect, which is why i asked for the definition, I think it was 2/L where L is the length of the interval - i can't remember.

Dr.D
If you can't remember, do you have a book?

Nusc