fitting a customised guassian equation to the curve

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HYZ
HYZ 2022-8-25
评论： Matt J 2022-8-25
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.

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Matt J
Matt J 2022-8-25
编辑：Matt J 2022-8-25
Apply whatever Gaussian fitting routine you usually use to the scaled data (X/sqrt(2*log(2)), Y).
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HYZ
HYZ 2022-8-25
编辑：HYZ 2022-8-25
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
Matt J 2022-8-25
The conversion formula is straightforward:
FWHM=2*sqrt(2*log(2))*sigma=2*sqrt(log(2))*c1

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