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Here I read that it is possible to use the Wiener-Kolmogorov whitening procedure to decompose the Laplace transform of autocorrelation function into the product of white noise and a system function: $$\mathcal{L}_{R}(s) = W(s) H(-s) H(s)$$ Unfortunately, I cannot understand this passage. Why should the transform of the autocorrelation function give this result? Why does $-s$ appear in the argument of $H$?

To answer this question it would be enough to recommend a good reference to study because I don't know the Wiener-Kolmogorov whitening procedure. I thought it was the Wiener filter, but it seems to be something else. I also found this procedure in an old paper, accessible only for a fee. It says:

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