1. The problem statement, all variables and given/known data If we filter out ideal white noise using an ideal LPF of cutoff frequency W Hz and then sample it at F Hz , What are the conditions for different F so that the resulting discrete signal is correlated, uncorrelated , statistically independent and orthogonal etc? I would like to know the statistical behaviour of the output signal. 2. Relevant equations 3. The attempt at a solution I don't know where to start. But I think that if sampling frequency is lesser than nyquist frequency, the output is correlated.