New algorithms for adaptive BSS

Blind Source Separation (BSS) is a vast field of research where a large number of BSS algorithms have already been proposed. However, derivation of adaptive BSS solutions with good trade-off between the computational cost and the convergence rate is still a challenging problem. In this work we consider low-cost adaptive BSS methods using statistical independence criteria. We introduce new algorithms using fast data whitening followed by source separation via Givens rotations. These algorithms are compared to other existing techniques and shown to present faster convergence rate and better separation performance.

[1]  Karim Abed-Meraim,et al.  A general framework for second-order blind separation of stationary colored sources , 2008, Signal Process..

[2]  Qingyan Shi,et al.  A new variable step-size equivariant adaptive source separation algorithm , 2007, 2007 Asia-Pacific Conference on Communications.

[3]  S. Haykin Unsupervised adaptive filtering, vol. 1: Blind source separation , 2000 .

[4]  Klaus-Robert Müller,et al.  Feature Discovery in Non-Metric Pairwise Data , 2004, J. Mach. Learn. Res..

[5]  Li Jiawen,et al.  A Two-step Adaptive Blind Source Separation for Machine Sound , 2006, 2006 6th World Congress on Intelligent Control and Automation.

[6]  Jean-François Cardoso,et al.  Equivariant adaptive source separation , 1996, IEEE Trans. Signal Process..

[7]  Dinh Tuan Pham,et al.  Joint Approximate Diagonalization of Positive Definite Hermitian Matrices , 2000, SIAM J. Matrix Anal. Appl..

[8]  Xianda Zhang,et al.  Adaptive nonlinear PCA algorithms for blind source separation without prewhitening , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[9]  Karim Abed-Meraim,et al.  Fast principal component analysis and data whitening algorithms , 2011, International Workshop on Systems, Signal Processing and their Applications, WOSSPA.

[10]  Xianda Zhang,et al.  Adaptive RLS algorithm for blind source separation using a natural gradient , 2002, IEEE Signal Process. Lett..

[11]  Yong Xiang,et al.  Adaptive blind source separation by second order statistics and natural gradient , 1999, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258).

[12]  Andreas Ziehe,et al.  A Fast Algorithm for Joint Diagonalization with Non-orthogonal Transformations and its Application to Blind Source Separation , 2004, J. Mach. Learn. Res..

[13]  Pierre Comon,et al.  Handbook of Blind Source Separation: Independent Component Analysis and Applications , 2010 .

[14]  Pierre Comon,et al.  Robust Independent Component Analysis by Iterative Maximization of the Kurtosis Contrast With Algebraic Optimal Step Size , 2010, IEEE Transactions on Neural Networks.

[15]  Lucas C. Parra,et al.  Blind Source Separation via Generalized Eigenvalue Decomposition , 2003, J. Mach. Learn. Res..

[16]  Steve Bartelmaos,et al.  Fast Principal Component Extraction Using Givens Rotations , 2008, IEEE Signal Processing Letters.

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