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Non-linear fitting in matlab

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subharthi chowdhuri
关闭： MATLAB Answer Bot 2021-8-20
I have x and y data and would like to make a nonlinear fitting between them according to this equation,
y= [C(x/x_m)]/[1+D(x/x_m)]^(5/3)
The measured values are x and y and the best fit line should give me the values of C,D and x_m. Actually this is a spectral fitting and x_m denotes the point where y attains its maximum. I would be very grateful if any expert can help me out on this.
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subharthi chowdhuri
subharthi chowdhuri 2016-7-19
Thank you very much for your reply. I am bit confused about the x_m part. x_m is the point where y attains the maxima and it is already included in the fit equation. So how can that be handled. Like if it was only (C*x)/(1+Dx)^(5/3) it could have been solved by using lsqcurvefit. Could you please help me out further?
Torsten
Torsten 2016-7-19
x_m should be the x-value where
C*x/(1+D*x)^(5/3)
or where
C*(x/x_m)/(1+D*(x/x_m))^(5/3)
attains its maximum ?
Best wishes
Torsten.

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