Contrast properties of entropic criteria for blind source separation : a unifying framework based on information-theoretic inequalities/

xiii Acknowledgments xv Acronyms xvii List of Notation xix Introduction xxiii 1 BSS and its relationship to ICA 1 1.1 BSS: Motivation 2 1.2 ICA: an efficient tool for BSS 7 1.2.1 PD-equivalency and Non-mixing matrices 7 1.2.2 Independence and ICA 11 1.2.3 ICA and BSS 12 1.3 Independence measures 14 1.3.1 Divergence measures between densities 14 1.3.1.1 KL properties 15 1.3.1.2 From KL to mutual information 16 1.3.2 Other measures of independence 17 1.4 Extraction schemes and contrast function definition 18 1.4.1 Extraction schemes 19 1.4.1.1 Simultaneous separation 19 1.4.1.2 Deflation separation 19 1.4.1.3 Partial separation 19 1.4.2 Contrast functions 20 1.4.2.1 Simultaneous separation 20 1.4.2.2 Deflation separation 20 1.4.2.3 Partial separation 21 1.5 Whitening preprocessing and geodesic search 22 1.5.1 Whitening 22