Blind source separation in the frequency domain: A novel solution to the amplitude and the permutation indeterminacies

Abstract

This paper deals with the separation of convolutive mixtures of statistically independent signals (sources) in the frequency domain. The convolutive mixture is decomposed in several problems of separating instantaneous mixtures which are independently solved. In addition, we propose a method to remove the indeterminacies which occur when all the individual separating systems do not extract the sources in the same order and with the same amplitude.We will show that both the permutation and the amplitude indeterminacies can be solved using second-order statistics when the sources are temporally-white. © Springer-Verlag Berlin Heidelberg 2001.