# A Simple Fourier Transform [duplicate]

I am studying about the randomprocess thesedays.

I am stuck on solving the discrete signal to show the fourier transform

the formula is that

$$w_b(k) = {N-|k|\over N} \quad \quad when\ \ |k| <= N$$

$$w_b(k) = 0 \ \ \ \quad \quad \quad else where$$

and the problem is the fourier transform of $w_b(k), i.e \ W_B(f)$.

$$W_B(f) = {1\over N}[sin(N*pie*f)/sin(pie*f)]^2$$
• @grdgfgr May I ask you the process of getting a final answer? $\sum_{n=1}^{N-1} {(N-n)\over N}cos(wn)$ I saw the page you linked, but it is too simple to understand for me – user2874612 Jun 2 '15 at 1:51