General method to estimate mixture matrix in blind source separation
Jingjing Du · Journal of Computer Applications · 2012
The estimation of mixture matrix is a key step to solve the problem of blind source separation.But there lacks a general estimation method suitable for well-determined,over-determined and under-determined mixture matrix in the existing research.Scaling and permutation ambiguities lie in both factor matrix of tensor canonical decomposition and mixture matrix in blind source separation.With this property,the estimation of mixture matrix can be transformed into tensor canonical decomposition of observed signals' statistics.The canonical decomposition can be implemented by cyclic minimization,with the algorithm of alternating least squares.The theoretical analysis and simulations show that the method proposed in this paper is a general method to estimate well-determined,over-determined and under-determined mixture matrix.