FITGAUSS is a function to fit a gaussian like curve "f" to experimental data by Marquardt-Levenberg non-linear least squares minimization. The fitting function has a form of a*exp(-((x-b)/c)^2)+d*x+e. This means the curve is build up a line and a gaussian. INPUTS: "x,y" is input data. "init" is initial guess for parameteres [a b c d e]. If is empty they will be determined automatically from input data and "w" is weight vector (default is ones(size(x))). OUTPUTS: "f" is the values of fitted function. "X" is the estimated parameters. "err" is the normalized error. "it" is number of iterations. "extreme" function from Lic. on Physics Carlos Adrián Vargas Aguilera is used in this function.
Example:
x=1:100;
a=30; b=45; c=10; d=.3; e=20;
f=a*exp(-((x-b)./c).^2)+d*x+e;
fn=f+2*randn(size(f));
[F X]=fitgauss(x,fn);
X=
29.61, 45.20, 10.20, 0.31, 19.18
plot(x,fn,'.',x,F,'r')
Citation pour cette source
Mehmet OZTURK (2024). fitgaussian (https://www.mathworks.com/matlabcentral/fileexchange/15262-fitgaussian), MATLAB Central File Exchange. Récupéré le .
Compatibilité avec les versions de MATLAB
Plateformes compatibles
Windows macOS LinuxCatégories
- AI, Data Science, and Statistics > Curve Fitting Toolbox > Linear and Nonlinear Regression >
- AI, Data Science, and Statistics > Curve Fitting Toolbox > Splines >
Tags
Remerciements
A inspiré : lm_plots
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Version | Publié le | Notes de version | |
---|---|---|---|
1.0.0.0 | Update to include missing file "frepmat". User can also use repmat instead of frepmat. |