Blind source separation of sparse sources with attenuations and delays : a novel approach for the under-determined case

[1]  Michael Elad,et al.  Optimally sparse representation in general (nonorthogonal) dictionaries via ℓ1 minimization , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[2]  Ingrid Daubechies,et al.  Ten Lectures on Wavelets , 1992 .

[3]  Paris Smaragdis,et al.  Evaluation of blind signal separation methods , 1999 .

[4]  Barak A. Pearlmutter,et al.  Blind Source Separation by Sparse Decomposition in a Signal Dictionary , 2001, Neural Computation.

[5]  Stephen P. Boyd,et al.  Applications of second-order cone programming , 1998 .

[6]  Alan V. Oppenheim,et al.  Discrete-time signal processing (2nd ed.) , 1999 .

[7]  Terrence J. Sejnowski,et al.  Complex Independent Component Analysis of Frequency-Domain Electroencephalographic Data , 2003, Neural Networks.

[8]  Barak A. Pearlmutter,et al.  Survey of sparse and non‐sparse methods in source separation , 2005, Int. J. Imaging Syst. Technol..

[9]  S. Amari,et al.  SPARSE COMPONENT ANALYSIS FOR BLIND SOURCE SEPARATION WITH LESS SENSORS THAN SOURCES , 2003 .

[10]  Jean-Jacques Fuchs,et al.  On sparse representations in arbitrary redundant bases , 2004, IEEE Transactions on Information Theory.

[11]  R. Lambert.  Multichannel blind deconvolution: FIR matrix algebra and separation of multipath mixtures , 1996 .

[12]  Fabian J Theis,et al.  Formalization of the Two-Step Approach to Overcomplete BSS , 2002 .

[13]  J.B. Allen,et al.  A unified approach to short-time Fourier analysis and synthesis , 1977, Proceedings of the IEEE.

[14]  J. MacQueen.  Some methods for classification and analysis of multivariate observations , 1967 .

[15]  Yuanqing Li,et al.  Sparse Representation and Its Applications in Blind Source Separation , 2003, NIPS.

[16]  Özgür Yilmaz,et al.  Blind separation of disjoint orthogonal signals: demixing N sources from 2 mixtures , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[17]  Juan K. Lin,et al.  Feature extraction approach to blind source separation , 1997, Neural Networks for Signal Processing VII. Proceedings of the 1997 IEEE Signal Processing Society Workshop.

[18]  S. Mallat.  A wavelet tour of signal processing , 1998 .

[19]  Terrence J. Sejnowski,et al.  An Information-Maximization Approach to Blind Separation and Blind Deconvolution , 1995, Neural Computation.

[20]  Jean-Francois Cardoso,et al.  Blind signal separation: statistical principles , 1998, Proc. IEEE.

[21]  Paris Smaragdis,et al.  Blind separation of convolved mixtures in the frequency domain , 1998, Neurocomputing.

[22]  Aapo Hyvärinen,et al.  A Fast Fixed-Point Algorithm for Independent Component Analysis , 1997, Neural Computation.

[23]  Carl G. Looney,et al.  Pattern recognition using neural networks: theory and algorithms for engineers and scientists , 1997 .

[24]  Christian Jutten,et al.  Blind separation of sources, part I: An adaptive algorithm based on neuromimetic architecture , 1991, Signal Process..

[25]  Pau Bofill,et al.  Underdetermined blind separation of delayed sound sources in the frequency domain , 2003, Neurocomputing.

[26]  N. Mitianoudis,et al.  Simple mixture model for sparse overcomplete ICA , 2004 .

[27]  Russell H. Lambert,et al.  Blind separation of multiple speakers in a multipath environment , 1997, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing.