fitting a customised guassian equation to the curve

Hi, I have X, Y so I can plot (X,Y).

I have a customised gaussian equation σ ⋅ sqrt(2 * log(2)).

Please suggest how I can write the code to fit the equation to the plot.

Thanks.

Answer 1

[Matt J]

Apply whatever Gaussian fitting routine you usually use to the scaled data (X/sqrt(2*log(2)), Y).

[HYZ]

sorry ... first time I am doing Gaussian. could you elaborate more? thanks!

[Matt J]

I don't know what more to add. What code are you using, and what issues are you encountering?

[HYZ]

I didn't explain well. I wanted to get Full Width at half Max (FWFM) using this equation

FWFM = sqrt(2*ln(2))*s; %full width at half maximum; s = standard deviation.

I used fit function to get s but I got c1. which function to get s in matlab so that I can use to get FWFM?

this is my code to get c1. f = fit(x', y', 'gauss1')

Thanks again!

[Matt J]

The conversion formula is straightforward:

FWHM=2*sqrt(2*log(2))*sigma=2*sqrt(log(2))*c1