fitting my periodic function

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ni david 2015-10-15

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https://ww2.mathworks.cn/matlabcentral/answers/248808-fitting-my-periodic-function

评论： Walter Roberson 2015-10-15

Hi firends,

I have a set of input and output data, and I also have the function with three free variables. How can I fit this function without getting into local min and max. My function is

a ./ abs(1-exp(-b*300e-6 + 2j*(2*pi*c./(lam*1e-9))*300e-6)).^2

with a,b and c being free variables.

Another fitting function for this problem is in the form of

(a^2*(1-b^2)^2+(4*a^2*b^2*sin(2*pi*c*300e-6/lam*1e-9)^2))/((1-b^2)^2+4*b^2*(sin(2*pi*c*300e-6/lam*1e-9))^2)

again with a,b and c being free variables.

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Walter Roberson 2015-10-15

Question: are the free variables constrained to be real, or could they be complex? Is the output constrained to be real? (That would be a major constraint due to the complex component of the expression.)

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