Closed-Form Estimators for Blind Separation of Sources – Part I: Real Mixtures

The problem of multiuser interference cancellation in wireless cellularcommunication systems accepts a blind source separation (BSS) model. Thepresent contribution studies the closed-form solutions to BSS in thereal-mixture case. Connections among a number of seemingly disparate methodsare unveiled, new procedures are put forward, and their asymptotic(large-sample) performance is analyzed. Simulation experiments illustrate andvalidate the theoretical results. Altogether, a unifying generic framework forclosed-form BSS methods is developed.

[1]  Pierre Comon,et al.  Improved contrast dedicated to blind separation in communications , 1997, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[2]  Tzyy-Ping Jung,et al.  Independent Component Analysis of Electroencephalographic Data , 1995, NIPS.

[3]  Asoke K. Nandi,et al.  Closed-Form Estimators for Blind Separation of Sources – Part II: Complex Mixtures , 2002, Wirel. Pers. Commun..

[4]  M. Kendall,et al.  Kendall's advanced theory of statistics , 1995 .

[5]  Jean-Louis Lacoume,et al.  Maximum likelihood estimators and Cramer-Rao bounds in source separation , 1996, Signal Process..

[6]  D. Brillinger Time series - data analysis and theory , 1981, Classics in applied mathematics.

[7]  Pierre Comon,et al.  Independent component analysis, A new concept? , 1994, Signal Process..

[8]  J. Cardoso On the Performance of Orthogonal Source Separation Algorithms , 1994 .

[9]  Pierre Comon,et al.  Blind source separation: models, concepts, algorithms and performance , 1999 .

[10]  Asoke K. Nandi,et al.  Noninvasive fetal electrocardiogram extraction: blind separation versus adaptive noise cancellation , 2001, IEEE Transactions on Biomedical Engineering.

[11]  P. Comon Separation Of Stochastic Processes , 1989, Workshop on Higher-Order Spectral Analysis.

[12]  Asoke K. Nandi,et al.  Modelling signals of arbitrary kurtosis for testing BSS methods , 1998 .

[13]  Asoke K. Nandi,et al.  Adaptive blind source separation for virtually any source probability density function , 2000, IEEE Trans. Signal Process..

[14]  L. Lathauwer,et al.  Fetal electrocardiogram extraction by source subspace separation , 1995 .

[15]  Kari Torkkola,et al.  Blind Separation For Audio Signals - Are We There Yet? , 1999 .

[16]  J. Lacoume,et al.  Statistiques d'ordre supérieur pour le traitement du signal , 1997 .

[17]  Asoke K. Nandi,et al.  Maximisation of squared cumulants for blind source separation , 2000 .

[18]  A. J. Bell,et al.  INDEPENDENT COMPONENT ANALYSIS OF BIOMEDICAL SIGNALS , 2000 .

[19]  J. Cardoso,et al.  Blind beamforming for non-gaussian signals , 1993 .

[20]  Asoke K. Nandi,et al.  Blind separation of independent sources for virtually any source probability density function , 1999, IEEE Trans. Signal Process..

[21]  Asoke K. Nandi,et al.  Generalization of a maximum-likelihood approach to blind source separation , 1998, 9th European Signal Processing Conference (EUSIPCO 1998).

[22]  Jean-Louis Lacoume,et al.  Separation of independent sources from correlated inputs , 1992, IEEE Trans. Signal Process..

[23]  J. Millet-Roig,et al.  Atrial activity extraction based on blind source separation as an alternative to QRST cancellation for atrial fibrillation analysis , 2000, Computers in Cardiology 2000. Vol.27 (Cat. 00CH37163).

[24]  Bernard Fino,et al.  Multiuser detection: , 1999, Ann. des Télécommunications.

[25]  Asoke K. Nandi,et al.  Blind source separation without optimization criteria? , 1999, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258).

[26]  T. Ens,et al.  Blind signal separation : statistical principles , 1998 .

[27]  Ing Rj Ser Approximation Theorems of Mathematical Statistics , 1980 .

[28]  Ramjee Prasad,et al.  Wideband CDMA for third generation mobile communications , 1998 .

[29]  Asoke K. Nandi,et al.  Blind separation of linear instantaneous mixtures using closed-form estimators , 2001, Signal Process..

[30]  G.B. Giannakis,et al.  Highlights of Signal Processing for Communications , 1999, IEEE Signal Processing Magazine.