Least Square Complex Non-Linear Curve Fitting
显示 更早的评论
I am looking for Least Square Curve fitting of non linear complex numbers. I have this objective functions.
F = (a + bD) * Y^2 + (c + dD) * Z^2
Where F, a, b, Y, c, d, Z are all complex numbers. D is real number. To add that inputs to the model are Y, Z and D. Unknown are a,b, c and d. F is the known output. I found some article but those are talking about Real inputs and outputs with complex numbered coefficients. However, my case has all complex numbers except D.
回答（1 个）
Torsten
2017-2-2
0 个投票
You won't be able to identify a,b,c,d,D separately.
Switch to the model
F = const1 * Y^2 + const2 * Z^2
and identify complex-valued const1 and const2 by splitting const1, const2, F, Y and Z in real and imaginary part.
Best wishes
Torsten.
3 个评论
Maro
2017-2-2
Maro
2017-2-2
My objection still holds even if D is known.
A complex number z can be written as z=a+b*D in many, many ways, e.g. z=0.5*z+D*0.5*z/D or z=0.2*z+D*0.8*z/D or ...
Thus the numbers a and b cannot be estimated independently which makes a separate fitting of the form z=a+D*b useless.
Best wishes
Torsten.
类别
在 帮助中心 和 File Exchange 中查找有关 Fit Postprocessing 的更多信息
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
Translated by 
