How To Find Fourier Series Coefficients Of A Signal. Let x[n] be a periodic sequence with period n and fourier series representation x[n] = ∑ k = < n > akejk2π nn determine the fourier series coefficients for y[n] = {x[n], if n. We're not trying to show that any is expressible as a fourier sum;

I started breaking down the original signal and rearranging, which gives: Where f(x) is the function /signal that we want to approximate, and a(n) and b(n) are the scaling coefficients which are also known as fourier coefficients are given by F (t), such that f (t +p) =f (t) then, with p ω=2π, we expand f (t) as a fourier series by ( ) ( )