Gaphs

Curve fitting

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• 1 Introduction

1 Introduction

Curve fitting is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points, possibly subject to constraints. Curve fitting can involve either interpolation, where an exact fit to the data is required, or smoothing, in which a "smooth" function is constructed that approximately fits the data.

Here we want to go gaussian curve fitting.

The fit function should allow two input parameters :

• low cut
• high cut

The fit function should return 3 values :

• M: the average value (the most presumably)
• $\sigma$: the standard deviation (the dispersion)
• FWHM: full width at half maximum ($=2.354\sigma$)

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