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Multstart stuck at initial point

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Sushant  Kumar
Sushant Kumar on 31 May 2013
Closed: MATLAB Answer Bot on 20 Aug 2021
hi, i am using multstart to fit a sinusoid of unknown amplitude, frequency and phase(in this case vector f) with a noisy sinusoid(vector R). Here is what my objective function looks like...
function r5= myfunction5(N) global F1; F1 = 1001000; r = zeros(10000,1); f = zeros(10000,1); N = zeros(3,1);
for p = 1:10000
r(p,1) = 5 * sin(2*pi*F1*(p/(10000000))+0.3);
end
R = r + 0.1*randn(10000,1);
for q1 = 1:10000
f(q1,1) = N(1) * sin((2*pi*N(2)*(q1/10000000)) + N(3));
end
r5 = @(N)(R-f);
end
myfunction5 takes a vector input N and gives a vector output (R-f) of 1000*1 which i need to minimize. Here is how i called the objective function with a local solver lsqnonlin...
format long opts = optimset('Algorithm','trust-region-reflective','Display','iter','TolFun',1e-12,'TolX',1e-10);
problem = createOptimProblem('lsqnonlin','x0',[5;993000;0.1],'objective',myfunction5,'lb',[4.8 989000 0.2],'ub',[5.2 1011000 0.4],...
'options',opts);
ms = MultiStart;
[N,fval,exitflag,output,solutions] = run(ms,problem,49);
it keeps on displaying whatever starting point i pass in the problem structure as the optimal point output independent of watever F1 is chosen in myfunction5.
i am particularly interested in N(2) which should come out to be equal to F1. Changing the initial point displays the same initial point being used everytime in the code as the optimal point. Plz help!

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