On-line source separation of temporally correlated signals

In this work we will show that the blind source separation problem can be addressed using a linear algebra approach. Making use of the definition of congruent pencils and matrix block operations the problem is completely characterized. We also show that it is possible to have an on-line implementation of the method.

[1]  Zhi Ding,et al.  A matrix-pencil approach to blind separation of colored nonstationary signals , 2000, IEEE Trans. Signal Process..

[2]  B. Parlett The Symmetric Eigenvalue Problem , 1981 .

[3]  Antoine Souloumiac,et al.  Blind source detection and separation using second order non-stationarity , 1995, 1995 International Conference on Acoustics, Speech, and Signal Processing.

[4]  Lang Tong,et al.  Indeterminacy and identifiability of blind identification , 1991 .

[5]  Beresford N. Parlett,et al.  The Symmetric Eigenvalue Problem (Classics in Applied Mathematics, Number 20) , 1999 .

[6]  Schuster,et al.  Separation of a mixture of independent signals using time delayed correlations. , 1994, Physical review letters.

[7]  James V. Stone Blind Source Separation Using Temporal Predictability , 2001, Neural Computation.

[8]  A.M. Tome Blind source separation using a matrix pencil , 2000, Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks. IJCNN 2000. Neural Computing: New Challenges and Perspectives for the New Millennium.

[9]  Ana Maria Tomé AN ITERATIVE EIGENDECOMPOSITION APPROACH TO BLIND SOURCE SEPARATION , 2001 .