... random processes, defining whatthey are, and introducing some basic concepts. This material is not needed in basic independent component analysis. However, it forms a theoretical basis for blindsource ... independent component analysis: it is impossibleto estimate the ICA model for gaussian data, that is, one cannot blindly separatePart IMATHEMATICALPRELIMINARIESIndependent Component Analysis. Aapo ... computations.Independent component analysis and blind source separation require the use ofhigher-order statistics either directly or indirectly via nonlinearities. Therefore, wediscuss in the following basic concepts...