Deconvolution for solving nonlinear system

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zhifei xu
zhifei xu 2018-4-4
评论： zhifei xu 2018-4-5
Dear all,
I have a question on solving nonlinear equations with convolutions. Please help me with codes, ideas or procedures. Here are the equations. Where V,Z11,Z21,Z12,Z22 are known and V is an array of numbers with size(1,100), Z11,Z21,Z12,Z22 are array of complex numbers with same size as V. How can I calculate Vx and Vy? Thank you very very much. Looking forward to your reply.
Best Regards
Zhifei
  2 个评论
zhifei xu
zhifei xu 2018-4-4
I1 and I2 are unknown, you have to substitue them to the first 2 equations.

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Matt J
Matt J 2018-4-4
Seems like a good candidate for FSOLVE.
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zhifei xu
zhifei xu 2018-4-4
Thank you very much, I will try to apply this to solve my equations, i will let you know if i succeed. Thank you so much. Have a nice day!!
zhifei xu
zhifei xu 2018-4-5
@Matt J Hello,
I tried with my equations,however, the results are not reliable. and then I tried with another codes with 2 variables. Matlab said no solutions：No solution found.
fsolve stopped because the last step was ineffective. However, the vector of function values is not near zero, as measured by the default value of the function tolerance.
criteria details here is my code: clc close all a1=zeros(1,4); a2=zeros(1,4); options=optimset('Algorithm','Levenberg-Marquardt'); [x,fval] = fsolve(@g,[a1;a2],options); function F=g(x) u = [1 0 1 1 ]; w = [2 7 2 7]; q=[2 2 1 4]; l=[3 4 4 5]; t=[4 16 9 9]; %the convolution result of u and w tt=[21 37 38 31];%the convolution result of q and l F =[conv(u,x(1),'same')-t;conv(q,x(2),'same')-x(1)-tt]; end

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