Blind Multiuser Separation of Instantaneous Mixture Algorithm Based on Geometrical Concepts


A. MANSOUR 1,2,  N. OHNISHI 1,4 and C. G. PUNTONET 3
1- BMC - RIKEN, Anagahora, Shimoshidami, Moriyama-ku, Nagoya 463-0003 (JAPAN)
2- ENSIETA, 2 Rue Fran\c{c}ois Verny, 29806 Brest (FRANCE)
3- Dept. of Architecture and Computer Technology.University of Granada. Granada 18071 (SPAIN)
4- Dept. of Information Eng., Nagoya Univ. Furo-cho, Chikusa-ku, Nagoya 464-8603 (JAPAN).

Abstract
In this paper, we propose a new and simple algorithm for blind separation
 of sources based on geometrical concepts. This algorithm deals with the
 instantaneous mixtures and does not require the estimation of high-order
 statistics (HOS). The proposed algorithm can separate sources that belong to two
 different categories:

1- Signals with uniform or close to uniform probability density function (PDF).

2- Unimodal PDF (including Pascal and Gamma) as well as some real signals such as speech or music.


Unfortunately, the actual version of the algorithm cannot deal with the mixing of
signals from both categories. Finally, the experimental results show good performances
and that the separation can be carried out in a very short time (a few seconds, using
Matematica as the programming language and our ultra 30 Sun station).