Separation of instantaneous mixtures of cyclo-stationary sources

It has been observed that, generally, the Comon algorithm successfully achieves to separate instantaneous mixtures of non-stationary signals, despite it has been designed for stationary environments. We address the theoretical justification of this fact. We provide a tractable condition on the statistics of the sources ensuring that the Comon function is a contrast. This condition is worked out for various digital communication signals.We finally explain why the Comon and JADE algorithms remain strongly connected in a cyclo-stationary context.