KNOWLEDGEBASE - ARTICLE #1892
Simulating or fitting the sum of three Gaussians
Built-in to Prism are equations for the Gaussian distribution and the sum of two Gaussians. It is easy to extend to three (or more) components.
Here is the equation for the sum of three Gaussians:
One=Amplitude1*exp(-0.5*((X-Mean1)/SD1)^2)
Two=Amplitude2*exp(-0.5*((X-Mean2)/SD2)^2)
Three=Amplitude3*exp(-0.5*((X-Mean3)/SD3)^2)
Y= One + Two + Three
Two=Amplitude2*exp(-0.5*((X-Mean2)/SD2)^2)
Three=Amplitude3*exp(-0.5*((X-Mean3)/SD3)^2)
Y= One + Two + Three
Here is a graph created by generating a curve from that equation.
You may need to fuss with the intial values to get this model to fit to your data set, as the rules included in that file are quite general.