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How to find out the mean from the Power Spectral Density?

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SherlockBenedict

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I want to find out the mean of the random signal given the Power Spectral Density of it. How to find that? I know that we should see the value of the PSD at ω=0 but I don't think mean and that value are equal but are related in some way. What is the relation ?

For eg: What is the mean given the following PSD-

 

The spectral density is always going to be symmetric about zero because a negative and positive frequency are the same thing. Usually you only look at the right side of the plot.
 

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