Adaptive signal processing algorithms for noncircular complex data

[1]  Tülay Adali,et al.  Universal approximation of fully complex feed-forward neural networks , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[2]  Asoke K. Nandi,et al.  Closed-form semi-blind separation of three sources from three real-valued instantaneous linear mixtures via quaternions , 2001, Proceedings of the Sixth International Symposium on Signal Processing and its Applications (Cat.No.01EX467).

[3]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[4]  L. Scharf,et al.  Statistical Signal Processing of Complex-Valued Data: Notation , 2010 .

[5]  T. Adalı,et al.  Approximation by fully complex MLP using elementary transcendental activation functions , 2001, Neural Networks for Signal Processing XI: Proceedings of the 2001 IEEE Signal Processing Society Workshop (IEEE Cat. No.01TH8584).

[6]  Lutz H.-J. Lampe,et al.  Data-aided and blind stochastic gradient algorithms for widely linear MMSE MAI suppression for DS-CDMA , 2004, IEEE Transactions on Signal Processing.

[7]  Andrzej Cichocki,et al.  A New Learning Algorithm for Blind Signal Separation , 1995, NIPS.

[8]  N. Vakhania.  RANDOM VECTORS WITH VALUES IN QUATERNION HILBERT SPACES , 1999 .

[9]  T. Sejnowski,et al.  Removing electroencephalographic artifacts by blind source separation. , 2000, Psychophysiology.

[10]  Peter J. Schreier.  Bounds on the Degree of Impropriety of Complex Random Vectors , 2008, IEEE Signal Processing Letters.

[11]  Louis L. Scharf,et al.  Higher-order spectral analysis of complex signals , 2006 .

[12]  Nikolaos Mitianoudis,et al.  Smooth Signal Extraction From Instantaneous Mixtures , 2007, IEEE Signal Processing Letters.

[13]  Jean-François Cardoso,et al.  Multidimensional independent component analysis , 1998, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181).

[14]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[15]  James L. Massey,et al.  Proper complex random processes with applications to information theory , 1993, IEEE Trans. Inf. Theory.

[16]  Toshihisa Tanaka,et al.  Separation of EOG artifacts from EEG signals using bivariate EMD , 2010, 2010 IEEE International Conference on Acoustics, Speech and Signal Processing.

[17]  Hannu Oja,et al.  Complex-valued ICA based on a pair of generalized covariance matrices , 2008, Comput. Stat. Data Anal..

[18]  Bernard C. Picinbono,et al.  Second-order complex random vectors and normal distributions , 1996, IEEE Trans. Signal Process..

[19]  Kazuyuki Aihara,et al.  Online tracking of the degree of nonlinearity within complex signals , 2008, 2008 IEEE International Conference on Acoustics, Speech and Signal Processing.

[20]  Terrence J. Sejnowski,et al.  Enhanced detection of artifacts in EEG data using higher-order statistics and independent component analysis , 2007, NeuroImage.

[21]  Gene H. Golub,et al.  Matrix computations , 1983 .

[22]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[23]  P. Senthil Kumar,et al.  An Adaptive method to remove ocular artifacts from EEG signals using Wavelet Transform , 2009 .

[24]  Henry Leung,et al.  The complex backpropagation algorithm , 1991, IEEE Trans. Signal Process..

[25]  D. Mandic,et al.  Complex Valued Nonlinear Adaptive Filters: Noncircularity, Widely Linear and Neural Models , 2009 .

[26]  Leonidas D. Iasemidis,et al.  Quantitative Neuroscience: Models, Algorithms, Diagnostics, and Therapeutic Applications , 2004 .

[27]  Stephen J. Sangwine,et al.  Quaternion involutions and anti-involutions , 2005, Comput. Math. Appl..

[28]  Wei Liu,et al.  A normalised kurtosis-based algorithm for blind source extraction from noisy measurements , 2006, Signal Process..

[29]  A. Bos.  Complex gradient and Hessian , 1994 .

[30]  Wei Liu,et al.  Blind Second-Order Source Extraction of Instantaneous Noisy Mixtures , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.

[31]  S. L. Goh,et al.  An Augmented Extended Kalman Filter Algorithm for Complex-Valued Recurrent Neural Networks , 2007, Neural Computation.

[32]  Hualiang Li,et al.  A Class of Complex ICA Algorithms Based on the Kurtosis Cost Function , 2008, IEEE Transactions on Neural Networks.

[33]  Bernard Widrow,et al.  Adaptive Signal Processing , 1985 .

[34]  Hao Shen,et al.  Local Convergence Analysis of FastICA and Related Algorithms , 2008, IEEE Transactions on Neural Networks.

[35]  Paulo S. R. Diniz,et al.  Adaptive Filtering: Algorithms and Practical Implementation , 1997 .

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

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

[38]  Kazuyuki Aihara,et al.  Complex-valued forecasting of wind profile , 2006 .

[39]  John E. Dennis,et al.  Numerical methods for unconstrained optimization and nonlinear equations , 1983, Prentice Hall series in computational mathematics.

[40]  Jacob Benesty,et al.  Audio Signal Processing for Next-Generation Multimedia Communication Systems , 2004 .

[41]  R. Wooding.  The multivariate distribution of complex normal variables , 1956 .

[42]  Christian Jutten,et al.  Source separation in post-nonlinear mixtures , 1999, IEEE Trans. Signal Process..

[43]  Cris Koutsougeras,et al.  Complex domain backpropagation , 1992 .

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

[45]  B. Farhang-Boroujeny,et al.  Adaptive Filters: Theory and Applications , 1999 .

[46]  Danilo P. Mandic,et al.  Recurrent Neural Networks for Prediction: Learning Algorithms, Architectures and Stability , 2001 .

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

[48]  Renbiao Wu,et al.  A Novel Approach to Blind Source Extraction Based on Skewness , 2006, 2006 8th international Conference on Signal Processing.

[49]  Lars H. Zetterberg,et al.  Codes for Combined Phase and Amplitude Modulated Signals in a Four-Dimensional Space , 1977, IEEE Trans. Commun..

[50]  S. L. Goh,et al.  Online Detection of the Nature of Complex-Valued Signals , 2006, 2006 16th IEEE Signal Processing Society Workshop on Machine Learning for Signal Processing.

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

[52]  Francesco Piazza,et al.  On the complex backpropagation algorithm , 1992, IEEE Trans. Signal Process..

[53]  Danilo P. Mandic,et al.  AN ONLINE ALGORITHM FOR BLIND EXTRACTION OF SOURCES WITH DIFFERENT DYNAMICAL STRUCTURES , 2003 .

[54]  B. Widrow,et al.  The complex LMS algorithm , 1975, Proceedings of the IEEE.

[55]  Ken Kreutz-Delgado,et al.  The Complex Gradient Operator and the CR-Calculus ECE275A - Lecture Supplement - Fall 2005 , 2009, 0906.4835.

[56]  Sun-Yuan Kung,et al.  Extraction of independent components from hybrid mixture: KuicNet learning algorithm and applications , 1998, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181).

[57]  Andrzej Cichocki,et al.  Robust Blind Source Separation Utilizing Second and Fourth Order Statistics , 2002, ICANN.

[58]  Tülay Adali,et al.  A Complex Generalized Gaussian Distribution— Characterization, Generation, and Estimation , 2010, IEEE Transactions on Signal Processing.

[59]  J. P. Ward.  Quaternions and Cayley Numbers , 1997 .

[60]  Terrence J. Sejnowski,et al.  AUTOMATIC ARTIFACT REJECTION FOR EEG DATA USING HIGH-ORDER STATISTICS AND INDEPENDENT COMPONENT ANALYSIS , 2001 .

[61]  Danilo P. Mandic,et al.  Blind extraction of improper quaternion sources , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[62]  Danilo P. Mandic,et al.  A Complex-Valued RTRL Algorithm for Recurrent Neural Networks , 2004, Neural Computation.

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

[64]  Mo Chen,et al.  An Online Method for Detecting Nonlinearity Within a Signal , 2006, KES.

[65]  Hualiang Li,et al.  Complex ICA Using Nonlinear Functions , 2008, IEEE Transactions on Signal Processing.

[66]  Pierre Comon,et al.  Blind identification of under-determined mixtures based on the characteristic function , 2006, Signal Process..

[67]  Fuzhen Zhang.  Quaternions and matrices of quaternions , 1997 .

[68]  Toshihisa Tanaka,et al.  Signal Processing Techniques for Knowledge Extraction and Information Fusion , 2008 .

[69]  Bernard C. Picinbono,et al.  On circularity , 1994, IEEE Trans. Signal Process..

[70]  Harri Valpola,et al.  Denoising Source Separation , 2005, J. Mach. Learn. Res..

[71]  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.

[72]  C. L. Nikias,et al.  Higher-order spectra analysis : a nonlinear signal processing framework , 1993 .

[73]  Monson H. Hayes,et al.  Statistical Digital Signal Processing and Modeling , 1996 .

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

[75]  Shengwei Zhang,et al.  Lagrange programming neural networks , 1992 .

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

[77]  Erkki Oja,et al.  The FastICA Algorithm Revisited: Convergence Analysis , 2006, IEEE Transactions on Neural Networks.

[78]  Shun-ichi Amari,et al.  Sequential blind signal extraction in order specified by stochastic properties , 1997 .

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

[80]  Jean-Francois Cardoso,et al.  Source separation using higher order moments , 1989, International Conference on Acoustics, Speech, and Signal Processing,.

[81]  Pascal Bondon,et al.  Second-order statistics of complex signals , 1997, IEEE Trans. Signal Process..

[82]  Aapo Hyvärinen,et al.  A Fast Fixed-Point Algorithm for Independent Component Analysis of Complex Valued Signals , 2000, Int. J. Neural Syst..

[83]  Jean Pierre Delmas,et al.  Asymptotic distribution of circularity coefficients estimate of complex random variables , 2009, Signal Process..

[84]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[85]  E. Ollila,et al.  Adjusting the generalized likelihood ratio test of circularity robust to non-normality , 2009, 2009 IEEE 10th Workshop on Signal Processing Advances in Wireless Communications.

[86]  Tülay Adali,et al.  On quantifying the effects of noncircularity on the complex fastica algorithm , 2008, 2008 IEEE International Conference on Acoustics, Speech and Signal Processing.