Help me to fit my plot with pseudo-voigt function.

Question

Mirtunjay Kumar 2017-4-12

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https://ww2.mathworks.cn/matlabcentral/answers/335113-help-me-to-fit-my-plot-with-pseudo-voigt-function

回答： kk 2018-6-18

There are peak functions like Pseudo-Voigt function y = y0 + A * ( mu * (2/pi) * (w / (4*(x-xc)^2 + w^2)) + (1 - mu) * (sqrt(4*ln(2)) / (sqrt(pi) * w)) * exp(-(4*ln(2)/w^2)*(x-xc)^2) )

These functions are widely available in OriginLab. I have plotted (x,y) but unable to fit above equation and get the constants. How to fit this equation to graph and get these variables y0,xc,A,w and mu.

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Answer 1

kk 2018-6-18

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Hello, I found your pseudo-Voigt function and it seems to be working with a few small changes if x is a column vector: y = A*(mu*(2/pi)*(w./(4*(x-xc).^2 + w^2)) + (1 - mu)*(sqrt(4*log(2))/(sqrt(pi)*w))*exp(-(4*log(2)/w^2).*(x-xc).^2))