# Inverse CTFT-DTFT question

• December 20th 2011, 01:01 AM
rebghb
Inverse CTFT-DTFT question
Hello everyone!

Here's a inverse CTFT-DTFT question:

Is it true that

$\displaystyle \int _{-1/2} ^{1/2} \frac{N_0}{T}\sum _{k=-\infty} ^{\infty} \left|F(\frac{f}{T}+\frac{k}{T})\right|^2 df$ = $\displaystyle \int _{-\infty} ^{+\infty}N_0 |F(f)|^2 df$?

I'm trying to calculate the variance of a process here.

Thanks!