fitting a Gaussian curve convoluted with exponential decay

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Idris Phillips-Fry 2020-12-10

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https://ww2.mathworks.cn/matlabcentral/answers/689434-fitting-a-gaussian-curve-convoluted-with-exponential-decay

回答： Jeff Miller 2020-12-11

I have to fit a gaussian curve convoluted with an expoential tail to the attached data. For the curve i have the below equation but it does not produce the desired shape. The attached image shows the curve shape I am aiming to achieve using these values and curve equation the exponential section dominates such that the gaussian component cannot even be seen. How would i go about getting the desired curve shape?

y2=0.5*exp(-a*(x2-(0.5*o^2*a))).*(1+erf((x2-o^2*a)/sqrt(2)*o));

using values;

a=exp(-1);

o=0.009931621960609;

where a is a place holder for the decay constant (it may be the issue if it is a very incorrect guess but i am unsure) and o is teh standard deviation of the data.

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Idris Phillips-Fry 2020-12-10

The data file may not open as i have since discovered it is damaged. However that is not of great consequence as i mainly wish to know the general form of the equation i will need to form the desired curve shape shown in the image. Any assistance would be greatly appreciated.

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