Blind Source Separation Based on Generalised Canonical Correlation Analysis and Its Adaptive Realization

The canonical correlation analysis (CCA) approach is generalised to accommodate the case with added white noise. It is then applied to the blind source separation  (BSS) problem for noisy mixtures. An adaptive blind source extraction algorithm is derived based on this idea. A proof is provided that by this generalised CCA approach, the source signals can be recovered successfully, which is also supported by simulation results.

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

[2]  Serge Dégerine,et al.  Second-order blind separation of sources based on canonical partial innovations , 2000, IEEE Trans. Signal Process..

[3]  Wei Liu,et al.  Blind source extraction of instantaneous noisy mixtures using a linear predictor , 2006, 2006 IEEE International Symposium on Circuits and Systems.

[4]  J. Galy,et al.  Canonical correlation analysis: a blind source separation using non-circularity , 2000, Neural Networks for Signal Processing X. Proceedings of the 2000 IEEE Signal Processing Society Workshop (Cat. No.00TH8501).

[5]  S. Haykin,et al.  Adaptive Filter Theory , 1986 .

[6]  Eric Moulines,et al.  A blind source separation technique using second-order statistics , 1997, IEEE Trans. Signal Process..

[7]  Anja Vogler,et al.  An Introduction to Multivariate Statistical Analysis , 2004 .

[8]  William A. Gardner,et al.  Programmable canonical correlation analysis: a flexible framework for blind adaptive spatial filtering , 1993, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers.

[9]  Hans Knutsson,et al.  A canonical correlation approach to blind source separation , 2001 .

[10]  Wei Liu,et al.  Analysis and Online Realization of the CCA Approach for Blind Source Separation , 2007, IEEE Transactions on Neural Networks.

[11]  Hans Knutsson,et al.  Exploratory fMRI Analysis by Autocorrelation Maximization , 2002, NeuroImage.

[12]  M. Bellanger Adaptive filter theory: by Simon Haykin, McMaster University, Hamilton, Ontario L8S 4LB, Canada, in: Prentice-Hall Information and System Sciences Series, published by Prentice-Hall, Englewood Cliffs, NJ 07632, U.S.A., 1986, xvii+590 pp., ISBN 0-13-004052-5 025 , 1987 .

[13]  Andrzej Cichocki,et al.  Adaptive blind signal and image processing , 2002 .

[14]  R. Liu,et al.  AMUSE: a new blind identification algorithm , 1990, IEEE International Symposium on Circuits and Systems.