Cubic Higher-Order Criterion and Algorithm for Blind Extraction of a Source Signal

The paper deals with the problem of the blind extraction of a source signal after a MIMO convolutive mixture. The extrac-tion is performed using aMISO equalizer. A contrast function based on high order statistics is first proposed. It is more gen-eral than the existing contrast in the same context and exhibits a cubic dependence w.r.t. the unknown equalizer parameters. This allows us to propose a new extraction algorithm based on a third order tensor decomposition. Computer simulations illustrate the good behavior and the usefulness of our algo-rithm