Reconstruct a saturated pulse which comes from the response of a SiPM

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I have a problem, i took some measurements in my laboratory course and looking at the data I found some clipped pulse. My professor asked me to reconstruct those pulse, but I have no idea how do it. Currently I'm doing data analysis with python, but I could try to work with something else. Can anyone help me? Clipped pulse

I tried to search everything on google but I still have not find nothing

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