How to filter a fast fading signal using window method?

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Fast fading signal generated: mean=0, sigma=0.0189

Using sigma generated white Gaussian noise and Sigma Gaussian =sigma of fast fading. Took auto correlation up to certain threshold and observed beta (std (A.C)) value of both signals is similar up to threshold.

Now I want to filter Gaussian noise using window method by using input beta but I am confused how to use beta in window (any relation formula?) as I want to see overlapping of Gaussian noise and window in order to see the signal is within the window.

Any suggestions?

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