On the separability of nonlinear mixtures of temporally correlated sources

It is well known that the source separation in a nonlinear case is, in general, impossible: there exist many mappings with nondiagonal Jacobian matrices preserving the independence. We suggest that using the time structure of the sources (if it exists), this indeterminacy may be reduced. In particular, we show that the classical examples used in the literature for demonstrating the nontrivial nonseparability of the nonlinear mixtures can be rejected by taking into account the temporal correlation of the sources.