Hello everybody,
I have three basic questions about AWGN. I always assumed them to be trivial, but I have not a clear answer for them if somebody asks me.
1st. Does always white Gaussian noise means wide-sense stationary noise? (Another equivalent form for this question: Do I have to specify that I mean wide-sense stationary noise even when it is white Gaussian already?)
2nd. Does even exist Gaussian noise without been white? (Another equivalent form for this question: A colored noise can also show a Gaussian distribution?)
And this takes me to another question, and it seems to be the hardest to answer:
3rd. How are related the spectral content of a stochastic process with it's statistical distribution?
Thank you in advance.