A new geometrical blind separation of sources algorithm.
Résumé
In this paper we present a new blind separation of sources (BSS) algorithm based on second order statistics (SOS) and geometrical approaches. The new algorithm can separate multisources from their instantaneous mixtures obtained by multisensors. In the case of $p$ sources and $p$ sensors, the algorithm can be decomposed into $p$ steps: First, one should transform the mixing signals to orthogonal signals using mainly the SOS of the mixing signals. After that, one can separate the sources by using $p-1$ rotations and projections. The experimental studies show that the separation of two or three speech or music signals can be obtained in relatively competitive time and that the obtained results are very satisfactory. keywords: Decorrelation, Second-Order Statistics, Whiteness, Blind Separation of Sources, Geometrical Algorithms, Independent Component Analysis, Probability Density Function.