Pulse oximeter design project, calculation help?

I am making a pulse oximeter and currently I have two signals, one is for red an the other one is for IR. How do I calculate the blood oxygen saturation from this? All my research leads to a look up table which I don’t know where to find.

http://courses.cs.tamu.edu/rgutier/cpsc483_s04/pulse_oximetry_notes.pdf

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