fitting equation with condition on 1 parameter

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I have to fit an equation over my data. Equation has two unknows parameters to be found i.e a and b...but if i deliberately want that the b value should lie betweem 0.2 and 2 and then find 'a' and 'b'...how can i do that???

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Matt J
Matt J 2014-1-23
编辑:Matt J 2014-1-23
Here is a simple script for fitting a Gaussian f(z) = a*exp(-b*z^2) using LSQCURVEFIT subject to bounds a>=0, 0<=b<=7. You should run it, study it, and adapt it to your needs.
f=@(p,z) p(1)*exp(-p(2)*z.^2);
x=linspace(0,2,10);
y=f([1,2],x)+rand(size(x))/10; %simulated data
p=lsqcurvefit( f, [.5,.5], x,y, [0,0],[inf,7]); %perform fit
plot(x,y,'*', x, f(p,x)) ;
You should also, of course, read "doc lsqcurvefit" to understand the input syntax and know what additional options you have.
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aditi
aditi 2014-1-24
I have only 5 data points...for x and y...so how to plot both the data points and fit curve both(the smoothed one) on the same plot...

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Amit
Amit 2014-1-23
You can use fmincon.
I would think that these a and b are from you previous post, where fminsearch were used. fmincon is similar to fminsearch but support bounds. More details on fmincon is here http://www.mathworks.com/help/optim/ug/fmincon.html
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aditi
aditi 2014-1-23
Matt could you please explain how to use it...

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Alan Weiss
Alan Weiss 2014-1-23
编辑:Alan Weiss 2014-1-23
There are some documentation examples that show how to fit equations. Adding bound constraints is easy for lsqnonlin or lsqcurvefit.
Hope this helps,
Alan Weiss
MATLAB mathematical toolbox documentation

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