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colored noise process= non-stationary random process?

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qslazio

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I'm confused with these two kinds of random process.
clearly, flicker noise (also known as 1/f or pink noise) and random walk (also known as 1/f^2 or wiener process) both are non-stationary random process.
Is it true that colored (in Power Spectrum Density) noise processes are all non-stationary random process?
If not, what 's the difference between these two random process?
can anyone clarify these to me?
Thanks a lot!.
 

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