 #1
mrMeister
 2
 0
 Homework Statement:
 The question is attached below.
 Relevant Equations:

correlation equations
WienerKhinchin theorem
My try:
I tried to take the expression for the decomposition coefficients and put it into the equation that I had to prove.
Then, I tried to work with the integral limits in order to get into WienerKhinchin theorem or maybe Fourier transform of delta function but I didn't see any success in those tries.
It would be nice to get a new point of view.
Thank you.
EDIT: I did solve this problem eventually, but I did not use the relation for z(t)  how is that?
I tried to take the expression for the decomposition coefficients and put it into the equation that I had to prove.
Then, I tried to work with the integral limits in order to get into WienerKhinchin theorem or maybe Fourier transform of delta function but I didn't see any success in those tries.
It would be nice to get a new point of view.
Thank you.
EDIT: I did solve this problem eventually, but I did not use the relation for z(t)  how is that?
Last edited: