Sum of sines optimized starting points

Question

Andrew 2023-11-22

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https://ww2.mathworks.cn/matlabcentral/answers/2051032-sum-of-sines-optimized-starting-points

编辑： Torsten 2023-11-23

Dear community,

Matlab uses optimized starting points to fit a sum of sines model to data in the Curve Fitting Toolbox.

Does somebody know the algorithm MATLAB uses to determine the starting points? I have a slightly different sines model, but the optimized starting points are not available for custom equations.

Best regards,

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Answer 1

Torsten 2023-11-23

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https://ww2.mathworks.cn/matlabcentral/answers/2051032-sum-of-sines-optimized-starting-points#answer_1358267

编辑：Torsten 2023-11-23

https://uk.mathworks.com/matlabcentral/answers/511413-curve-fitting-tool-starting-points

If your problem is linear in the fitting parameters (which is usually the case for a sum of sines), you don't need initial values for the parameters. You can directly determine the parameters in one step by solving an overdetermined linear system of equations.