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jBillou edited Reconstruction coupling functions.tex
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\subsection{Reconstruction coupling functions}
The reconstruction of the coupling functions $F_1$ and $F_2$ if done in two step. First the phases $\theta$ and $\phi$ are estimated from the data using our HMM. Secondly the coupling functions are estimated from the phases by estimating the instantaneous phase velocity in the phase plane from the time derivative of the phases.