Fitting Complex data to complex model

Dear Everybody, I have a set of the nonlinear complex numbers and want to fit it to the complex model. The point is that the model parameters are real and same for the real and imaginary part of the model. There is clue in : http://www.mathworks.com/help/optim/ug/fit-model-to-complex-data.html but unfortunately it gave me complex numbers for my parameters instead of the real ones. Is there any solution that you could give me? Thank you in advance for your attention

Answer 1

[Alan Weiss]

If you want to ensure that your results are real, then reformulate your problem to be real. Express all complex numbers z by x + iy, wbere x and y are real.

Alan Weiss

MATLAB mathematical toolbox documentation

[Amin]

Thank you for your response. OK, I got what you mean, but then do you want to use Z as your function? or x and y separately? I used x and y separate, but the parameters are not same and also the responds are not good for both and imaginary. I mean that you could not solve it just with real part and then use the parameters for the imaginary parts, because it does not fit good. Then, what is your idea about that?

[Alan Weiss]

Perhaps I did not express myself well. If you have some model parameters p that are "...real and same for the real and imaginary part of the model", then make those parameters p real, with no complex part. Put in complex numbers z = x + iy wherever you need to, and optimize over p.

Alan Weiss

MATLAB mathematical toolbox documentation