Noisy Component Extraction (NoiCE)

To achieve efficient blind source extraction (BSE) from noisy mixtures, we propose a noisy component extraction (NoiCE) algorithm that combines standard BSE and a cascaded nonlinear adaptive estimator. There are no assumptions of statistical independence, and also as a byproduct of BSE after deflation, we may also obtain asymptotic identification of the a prioriunknown observation noise sources. By yielding an asymptotically efficient estimator in the presence of an unknown observation noise, the proposed algorithm may also be viewed as a robust approach to NoiCE. Simulations on both synthetic and real-world data confirm the validity of the proposed algorithm in noisy mixing environments.

[1]  Zhang Yi,et al.  Robust extraction of specific signals with temporal structure , 2006, Neurocomputing.

[2]  Huaguang Zhang,et al.  Simultaneous Blind Separation of Instantaneous Mixtures With Arbitrary Rank , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[3]  S. Amari,et al.  A Cascade Neural Network for Blind Signal Extraction without Spurious Equilibria , 1998 .

[4]  Nathalie Delfosse,et al.  Adaptive blind separation of independent sources: A deflation approach , 1995, Signal Process..

[5]  Ioannis Pitas,et al.  Nonlinear Digital Filters - Principles and Applications , 1990, The Springer International Series in Engineering and Computer Science.

[6]  Danilo P. Mandic,et al.  Post-Nonlinear Blind Extraction in the Presence of Ill-Conditioned Mixing , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

[7]  Danilo P. Mandic,et al.  An Implementation of Nonlinear Multiuser Detection in Rayleigh Fading Channel , 2006, EURASIP J. Wirel. Commun. Netw..

[8]  Sergio Cruces,et al.  From blind signal extraction to blind instantaneous signal separation: criteria, algorithms, and stability , 2004, IEEE Transactions on Neural Networks.

[9]  Wei Xing Zheng,et al.  Blind extraction of chaotic signal from an instantaneous linear mixture , 2006, IEEE Trans. Circuits Syst. II Express Briefs.

[10]  Sergio Cruces,et al.  On a new blind signal extraction algorithm: different criteria and stability analysis , 2002, IEEE Signal Processing Letters.

[11]  P. Comon.  Contrasts, independent component analysis, and blind deconvolution , 2004 .

[12]  Jitendra K. Tugnait,et al.  Identification and deconvolution of multichannel linear non-Gaussian processes using higher order statistics and inverse filter criteria , 1997, IEEE Trans. Signal Process..

[13]  Gonzalo R. Arce,et al.  Nonlinear Signal Processing - A Statistical Approach , 2004 .

[14]  Andrzej Cichocki,et al.  On-line Algorithm for Blind Signal Extraction of Arbitrarily Distributed, but Temporally Correlated Sources Using Second Order Statistics , 2000, Neural Processing Letters.

[15]  E. Oja,et al.  Independent Component Analysis , 2013 .

[16]  Andrzej Cichocki,et al.  Adaptive Blind Signal and Image Processing - Learning Algorithms and Applications , 2002 .

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

[18]  Jacek M. Zurada,et al.  Blind extraction of singularly mixed source signals , 2000, IEEE Trans. Neural Networks Learn. Syst..

[19]  Zied Malouche,et al.  Adaptive unsupervised extraction of one component of a linear mixture with a single neuron , 1998, IEEE Trans. Neural Networks.

[20]  Benoit Priest,et al.  Microsleep during a simplified maintenance of wakefulness test. A validation study of the OSLER test. , 2001, American journal of respiratory and critical care medicine.

[21]  Moncef Gabbouj,et al.  Weighted median filters: a tutorial , 1996 .

[22]  Wai Yie Leong,et al.  Blind multiuser receiver for DS-CDMA wireless system , 2006 .

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

[24]  Jun Wang,et al.  Sequential blind extraction of instantaneously mixed sources , 2002, IEEE Trans. Signal Process..

[25]  M. Hulle,et al.  The Delay Vector Variance Method for Detecting Determinism and Nonlinearity in Time Series , 2004 .

[26]  P. Comon,et al.  Parallel deflation with alphabet-based criteria for blind source extraction , 2005, IEEE/SP 13th Workshop on Statistical Signal Processing, 2005.

[27]  D.P. Mandic,et al.  Towards Adaptive Blind Extraction of Post-Nonlinearly Mixed Signals , 2006, 2006 16th IEEE Signal Processing Society Workshop on Machine Learning for Signal Processing.

[28]  P. Comon,et al.  Blind separation of discrete sources , 1998, IEEE Signal Processing Letters.

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