Sampling low pass filtered white noise

[dexterdev]

Homework Statement

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.

Homework Equations

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.

 

[njoysci]

The following summary addresses your questions:

http://www.eas.uccs.edu/wickert/ece5650/lectures/N5650_4.pdf

 

[dexterdev]

@njoysci : Thank you very much. Let me read it.