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I have some x-ray photoelectron spectroscopy data (XPS). Unfortunately, the system under review, has a rather unpleasant background structure. In order to remove the background I have the following approach:

1) I recorded a clean spectrum, just giving me the background [Background data with fit]

2) I would fit the clean background spectrum (2 Gaussian + 1 Line)

3) Then I want to remove the clean background from the "real" (i.e. with peaks) data. However, the background changes a little from spectrum to spectrum. Therefore, I cannot just use the fit for the clean background. Spectroscopic data with the same background. Clearly the background does not fit well.

Note: The peaks explicitly shall not be fitted in this procedure.

Thanks for your help in advance.

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closed as off-topic by rhermans, MarcoB, Daniel Lichtblau, JimB, yohbs May 22 '17 at 16:43

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    $\begingroup$ I want to do this in Mathematica, yes. $\endgroup$ – F.H May 22 '17 at 9:31
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    $\begingroup$ Isn't there a physical model behind the background shape? What does it mean "a little" how can we know what is the background and what is the signal without a context? p.s. isn't the core of the problem really about a scientific method in opposition to implementation of a solution in Mathematica? $\endgroup$ – Kuba May 22 '17 at 9:55
  • $\begingroup$ Welcome! To make the most of Mma.SE start by taking the tour now. It will help us to help you if you write an excellent question. Edit if improvable, show due diligence, give brief context, include minimal working example of code and data in formatted form. As you receive give back, vote and answer questions, keep the site useful, be kind, correct mistakes and share what you have learned. $\endgroup$ – rhermans May 22 '17 at 9:58
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    $\begingroup$ I'm voting to close this question as off-topic because the problem as presented is about defining a method for XPS data analysis and not about its implementation in Wolfram Mathematica Language. $\endgroup$ – rhermans May 22 '17 at 10:05
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    $\begingroup$ @F.H "2 Gaussian + 1 Line" is a mathematical model, not a physical one. Which may be ok too, if you give use some constrains etc. $\endgroup$ – Kuba May 22 '17 at 10:45

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