Statistically non-sparse decomposition of two underdetermined audio mixtures

This paper discusses the source recovery step in two-stage blind separation algorithm of underdetermined mixtures. A statistically non-sparse decomposition principle of two mixtures (2d-SNSDP), which is an extension of the SSDP algorithm about two mixtures, is proposed. It overcomes the disadvantage of the SSDP algorithm and sparse representation based on l¹-norm. Compared with traditional sparse methods, it is non-sparse method, that is, almost all the recovered sources in any instant t are non-zero. Finally, several stereo audio signals experiments demonstrate its performance and practical.