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symbolic sum of gaussian functions

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Lorenzo Mattera
Lorenzo Mattera 2020-4-22
Hello
I have some data which can be represented as the sum of several (>8) gaussian functions.
Positions and widths are fixed and I would like to fit the data and determine only the amplitudes.
I could write a custom fitting function but the gaussians are of the order of 30 ( the actual number can change for different data set) and the procedute would be awful.
Any whay to construct such sum symbolically obtaining someting like
a[1]*exp(-((x-b[1])/c[1])^2)+....a[m]*exp(-((x-b[m])/c[m])^2)
where a[i] are the parameters to fit and b[i] and c[i] are known?
Thanks
Renzo

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