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In general, one method to handle the issue that generalizes substantially to a problem of extracting two or more components is to take the spectra G¹, G² ⋯, Gⁿ of signals #1, #2, ..., #n, tabulate the total square Γ(ν) = |G¹(ν)|² + |G²(ν)|² + ⋯ + |Gⁿ(ν)|² at each frequency ν, and normalize G₁(ν) ≡ G¹(ν)* / Γ(ν), G₂(ν) ≡ G²(ν)* / Γ(ν), ..., G_n(ν) ≡ Gⁿ(ν)* / ...


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Actually, the question is not clear. But the answers carified what you've asked for. You can build a system of linear algebraic equations as some people advice, that is correct, but the matrix built on known signal is so-called poorly conditioned. That means when you try to invert it, the truncation errors kill solution and you receive random numbers in ...


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