Multichannel non-negative matrix factorisation based on alternating least squares for audio source separation system

A multichannel blind source separation algorithm based on the multichannel non-negative matrix factorisation (NMF) model and an alternating least squares (ALS) method is developed. To develop the proposed algorithm, the multichannel NMF (MC-NMF) model is modified with stacked matrix notation. In the model, all parameters - frequency basis, time basis and mixing matrix - are estimated using the ALS method. The proposed MC-NMF algorithm is evaluated using an `underdetermined speech and music mixture´ dataset from the International Signal Separation Evaluation Campaign 2013 (SiSEC 2013). Experimental results show that the proposed algorithm outperforms the conventional NMF algorithms.