Inverse of a summing function

Aladdin1

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Joined
Dec 22, 2013
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3
I am an experimental research engineer working on a Laser experiment. The details do not matter but due to practical limitations my data is influenced by the following transformation during data acquisition, and I was wondering if there is a mathematical method or an algorithm to "undo" its effect on the captured signal, that is to get the inverse.
MHwiO.jpg
I want to get the y in terms of s. Thanks in advance

 
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