A new mixing matrix estimation method based on the geometrical analysis of the sound separation problem

In this paper, we present a new mixing matrix estimation procedure to overcome sparsity-based methods separating speech sources. Our novel proposal establishes a geometric relationship between the mixing parameters using some available information about the microphone array, such as, number and type of microphones or the distance between them. Using this relationship, the complex estimation of the level differences is avoided. Results demonstrate that our proposal outperforms mixing matrix estimation solutions in terms of both speech separation quality and speech intelligibility.