An algebraic approach to the blind identification of paraunitary filters

This paper deals with the blind identification of multiple-input multiple-output finite impulse response filters. We limit ourselves to the case of 2 outputs and 2 inputs. After a classical prewhitening, the remaining problem is the blind identification of a paraunitary filter. For this task, we derive a multilinear algebraic algorithm. This procedure is a generalization of the algorithm for independent component analysis described in Comon (1994). The performance is illustrated by means of some numerical experiments.