QUADRATIC DEPENDENCE MEASURE FOR NONLINEAR BLIND SOURCES SEPARATION

Sophie Achard, Dinh Tuan Pham, Christian Jutten · 2003

This work focuses on a quadratic dependence measure which can be used for blind source separation. After defining it, we show some links with other quadratic dependence measures used by Feuerverger and Rosenblatt. We develop a prac-tical way for computing this measure, which leads us to a new solution for blind source separation in the case of non-linear mixtures. It consists in first estimating the theoreti-cal quadratic measure, then computing its relative gradient, finally minimizing it through a gradient descent method. Some examples illustrate our method in the post nonlinear mixtures. 1.

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