A one stage self-adaptive algorithm for source separation

In order to perform separation of a mixture of sources, an interesting approach is to maximise a contrast function: e.g. the contrast of Comon. This paper brings two novel contributions (i) a novel algorithm as proposed in order to adaptively maximise Comon´s contrast. However it requires a preprocessing whitening operation which is awkward when the mixture is ill-conditioned. (ii) A new criterion is defined that is free of the prewhitening step. In the case of two sources it can be proved that this criterion is a contrast. This contrast can also be adaptively maximized and has the additional advantage not to require identical signs for the fourth-order cumulants of the sources. Achievement of these two adaptive algorithms is demonstrated using a new performance index