A Time-Frequency CORRelation-Based Blind Source Separation Method for Time-Delayed Mixtures

We propose a time-frequency (TF) blind source separation (BSS) method suited to attenuated and delayed (AD) mixtures, inspired from a method that we previously developed for linear instantaneous mixtures. This approach only requires each of the uncorrelated sources to occur alone in a tiny TF zone, i.e. it sets very limited constraints on the source sparsity and overlap, unlike various previously reported TF-BSS methods. Our approach is based on time-frequency correlation (hence its name AD-TIFCORR). It consists in identifying the columns of the (filtered permuted) mixing matrix in TF zones where it detects that a single source occurs. We thus identify columns of scale coefficients and time shifts. This method is especially suited to non-stationary sources