Link between time and complex amplitude argument, DFT.

Question

It's more math question than programming, but.. I have some discrete points, with time t_n and value u(t_n). i perform discrete fourier transormation using values u(t_n). now i have some complex values, as i understood absolute value is amplitude and argument is frequency, right? well my teacher said i need to compute SOMETHING using t_n's,u(t_n)'s, A_n's and w_n's(assuming A_n is absolute value, w_n is argument). It's somehow related to statistics variance and uncertainity principle. As you see, i don know a damn about fourier transformations :D Now i've made a program that performs DFT and builds a plot using w_n's as Ox axis and A_n's as Oy axis. It looks like this: screenshot

What my teacher wants me to compute and which values shud i expect as corresponding to theory?

Answer 1

it is actually quite easy to compute, the result reduces to a constant around 4,2e1. but we won't know what that means before we know the quesiton, that very SOMETHING. so if you ever find out, please post it back here. it is VERY IMPORTANT. thanks.

p.s.vogons are coming, you don't have much time.