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Independent Component Analysis

IndependentComponentAnalysisIndependentC omponentAnalysisFinal version of 7 March 2001 Aapo Hyv arinen, Juha Karhunen, and Erkki OjaA Wiley-Interscience PublicationJOHN WILEY & SONS, York / Chichester / Weinheim / Brisbane / Singapore / TorontoContentsPrefacexvii1 representation of multivariate general statistical reduction as a guiding source mixtures of unknown separation based on Component to find the Independent of ICA11vviCONTENTSPart I MATHEMATICAL PRELIMINARIES2 Random Vectors and distributions and of a random of a random and marginal and and general vector and correlation and joint of and and densities and Bayes multivariate gaussian of the gaussian limit of a and classification of , moments, and their processes * and , mean.

2.8 Stochastic processes * 43 2.8.1 Introduction and definition 43 2.8.2 Stationarity, mean, and autocorrelation 45 2.8.3 Wide-sense stationary processes 46 2.8.4 Time averages and ergodicity 48 2.8.5 Power spectrum 49 2.8.6 Stochastic signal models 50 2.9 Concluding remarks and references 51 Problems 52 3 Gradients and Optimization Methods 57

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  Analysis, Introduction, Processes, Component, Independent, Stochastic, Stochastic processes, Independent component analysis

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