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How to combine correlated signals !?

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OMID-313

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Hi everybody

Assume there is an original signal S_main.
And there are 10 other similar signals S1 ~ S10.
Signals S1 ~ S10 are correlated to S_main with correlation coefficients coeff1 ~ coeff10.

Now here's the question:

How can I combine S1 ~ S10 in order to regenerate S_main !?
(The correlation is not necessarily linear.)

Thank you very much
 

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