Fitting data with two peaks
32 views (last 30 days)
Show older comments
Hi
I have some data, which is not too different from the top graph in this picture: <http://www.aanda.org/index.php?option=com_image&format=raw&url=/articles/aa/full/2004/12/aa0526/img14.gif>
In other words, there are two peaks that each represent a Lorentzian. I am not sure how to fit this in MatLAB. Is there a way to fit the data to one function consisting of two Lorentzians, or do I have to split the data set in two, one peak in each?
Ultimately I need to find the x-position of each peak.
Best, Niles.
1 Comment
Enrique
on 30 Jul 2014
Niles,
Did you ever figure out how to do this and/or implement any of the solutions suggested below? I am trying to fit two Lorentzians to similar Raman data as yours (is yours a graphene Raman spectrum as well?). In the past I have done this using a single Lorentzian fitting function I found ( Lorentzian Function Fit lorentzfit), but have not tried to implement two Lorentzians. Any suggestion would help a lot.
Thanks,
Enrique
Answers (5)
Geoff
on 4 Jun 2012
Define a function that accepts the parameters of the two lorenzian curves and computes the full curve.
I don't know how many parameters you need cos I'm no mathematician =) Let's say 2?
dualLorentz = @(x, a1, b1, a2, b2) = lorenz(x, a1, b1) + lorenz(x, a2, b2);
Then, define a function to generate that curve, subtract your actual dataset, square the result and sum it.... While you're at it, parameterise the whole thing (ie a vector p of [a1, b1, a2, b2])
objFn = @(p, x, y) sum( (y - dualLorentz(x, p(1), p(2), p(3), p(4))) .^ 2 );
Then chuck it at fsolve or fminsearch - assuming your dataset is in X and Y:
p0 = % some initial guess at a1, a2, b1, b2 : you can probably be very basic
p = fsolve( @(p) objFn(p, X, Y), p0 );
0 Comments
Ryan
on 4 Jun 2012
Edited: John Kelly
on 2 Mar 2015
You could get a close approximation of peak position with a cubic spline fit and local maxima. You could also try just smoothing the data first as well and then finding the maxima.
Cubic Spline:
0 Comments
Frederic Moisy
on 7 Jun 2012
Hi, you can try the Ezyfit toolbox:
In particular, there is an example with two peaks (here fitted with the sum of 2 gaussian curves):
0 Comments
See Also
Categories
Find more on Interpolation in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!