I want to find the best coefficients for curve fitting for my experiment data

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Greetings
I have experiment data as you can see below, I want to find the curve with the formula of y=K0+K1exp(-t/Tau) which is fit to my experiments data.
I have 'y' and 't' from experiment and I am looking for the best values for K0, K1 and Tau.
the bellow is the graph of my experiment data

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Image Analyst
Image Analyst 2022-7-18
You can use fitnlm if you have the stats toolbox. See attached demo and make changes as needed, like reading in your actual data, and renaming variables if you want.

更多回答(2 个)

Torsten
Torsten 2022-7-18
Try "lsqcurvefit".
  1 个评论
Misi
Misi 2022-7-18
编辑:Misi 2022-7-18
Thank you
I used the lsqcurve fit but it couldnot fit on my curve and the final asnwer was zero for all coeffiecient.
This what I recieved in command window
Initial point is a local minimum.
Optimization completed because the size of the gradient at the initial point
is less than the default value of the optimality tolerance.
<stopping criteria details>
a =
0
b =
0
c =
0

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Torsten
Torsten 2022-7-18
Your code ?
Essential in your case is a good starting guess for the parameters.
Try the following code and take the coefficients as initial values for the optimization.
fun = @(K0,K1,tau,t) K0 + K1*exp(-t/tau);
t = 0:0.1:10;
K0 = 1e10;
K1 = 6.2e10;
tau = 4.5;
y = fun(K0,K1,tau,t);
plot(t,y)

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