Amplitude and permutation indeterminacies in frequency domain convolved ICA

In this paper a novel approach to solve the permutation indeterminacy in the separation of convolved mixtures in frequency domain is proposed. A fixed-point algorithm in complex domain to perform the separation of the signals for each frequency domain is used. To obtain the frequency bins a short time Fourier transform on a set of fixed frames, is considered. To solve the ambiguity of the amplitude dilation a simple method is proposed. The permutation indeterminacy is solved using an approach based on the Hungarian algorithm that solves an assignment problem and an algorithm of dynamic programming. To obtain the distances in the assignment problem, a Kullback-Leibler divergence is adopted. We shall see that this approach presents a good performance and permits to obtain a clear separation of the signals.