Algorithm 2 Bivariate multiscale entropy (BMSE)

Define $\ell ,n_s$, length of the desired EEG channel X and number of component slices (MSE-curves) of the desired BMSE surface, resp. Do the following for each time factor scale: $\tau =[{\tau }_{min},{\tau }_{min}+\Delta \tau ,{\tau }_{min}+2\Delta \tau ,\dots ,{\tau }_{max}]$ for k=1 to $n_s$ do  Apply Algorithm 1 to sub vectors $v\left(k\right)=[X\left((k-1)\left(\frac{\ell }{n_s}\right)\right):X\left(k\frac{\ell }{n_s}\right)]$ to obtain an MSE curve for each $v\left(k\right)$.  Use Equation (1) to obtain $\overline{MSE\left(v\right(k\left)\right)}$ (for each curve).  Use Equation (1) to define a $BMSE$ index as $\overline{BMSE}$ for $\overline{MSE\left(v\right(k\left)\right)}$. end for Construct a BMSE surface with the collection of all MSE curves obtained.