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.

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