A second-order blind source separation method for bilinear mixtures |
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Authors: | Lina Jarboui Yannick Deville Shahram Hosseini Rima Guidara Ahmed Ben Hamida Leonardo T Duarte |
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Affiliation: | 1.Institut de Recherche en Astrophysique et Planétologie (IRAP),Toulouse University, CNRS-OMP,Toulouse,France;2.Advanced Technologies for Medicine and Signals (ATMS),Sfax University, ENIS,Sfax,Tunisia;3.School of Applied Sciences,University of Campinas (UNICAMP),Limeira,Brazil |
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Abstract: | In this paper, we are interested in the problem of Blind Source Separation using a Second-order Statistics (SOS) method in order to separate autocorrelated and mutually independent sources mixed according to a bilinear (BL) model. In this context, we propose a new approach called Bilinear Second-order Blind Source Separation, which is an extension of linear SOS methods, devoted to separate sources present in BL mixtures. These sources, called extended sources, include the actual sources and their products. We first study the statistical properties of the different extended sources, in order to verify the assumption of identifiability when the actual sources are zero-mean and when they are not. Then, we present the different steps performed in order to estimate these actual centred sources and to extract the actual mixing parameters. The obtained results using artificial mixtures of synthetic and real sources confirm the effectiveness of the new proposed approach. |
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