gaussian¶

Gaussian models¶

The Gaussian model fits peaks, and is given by

\[y=\sum_{k=1}^na_k\exp{\left[-\left(\frac{x-b_k}{c_k}\right)^2\right]}\]

where \(a\) is the amplitude, \(b\) is the centroid (location), \(c\) is related to the peak width, and \(n\) is the number of peaks to fit.

This module provides the general Gaussian model above for any number of terms \(k\), as well as convenience functions for Gaussian models with \(1\leq n\leq8\) analogous to MATLAB’s gauss1, gauss2, etc.

Functions

`gauss`	General Gaussian model.
`gauss1`	Convenience function for the `gauss1` model from MATLAB.
`gauss2`	Convenience function for the `gauss2` model from MATLAB:
`gauss3`	Convenience function for the `gauss3` model from MATLAB.
`gauss4`	Convenience function for the `gauss4` model from MATLAB.
`gauss5`	Convenience function for the `gauss5` model from MATLAB.
`gauss6`	Convenience function for the `gauss6` model from MATLAB.
`gauss7`	Convenience function for the `gauss7` model from MATLAB.
`gauss8`	Convenience function for the `gauss8` model from MATLAB.