Eigenstructure-based blind identification of independent signals

An identifiability result for the blind identification of memoryless channels with independent sources is presented. The necessary and sufficient conditions which were obtained by investigating the eigenstructure inherited in the observation cumulants are given. An eigenstructure-based algorithm is proposed to achieve the identification of the parameter matrix whenever such identification is possible. It is shown that the source signals can be extracted up to scale factors and a permutation if and only if all the source signals, but one, are non-Gaussian