A null space method for over-complete blind source separation

In blind source separation, there are M sources that produce sounds independently and continuously over time. These sounds are then recorded by m receivers. The sound recorded by each receiver at each time point is a linear superposition of the sounds produced by the M sources at the same time point. The problem of blind source separation is to recover the sounds of the sources from the sounds recorded by the receivers, without knowledge of the m × M mixing matrix that transforms the sounds of the sources to the sounds of the receivers at each time point. Over-complete separation refers to the situation where the number of sources M is greater than the number of receivers m, so that the source sounds cannot be uniquely solved from the receiver sounds even if the mixing matrix is known. In this paper, we propose a null space representation for the over-complete blind source separation problem. This representation explicitly identifies the solution space of the source sounds in terms ...

• Type: Journal
• Year: 2007
• Where: CSDA
• Authors: Ray-Bing Chen, Ying Nian Wu
• Keywords: Blind Source Separation, CSDA 2007, Mixing Matrix, Time Point