ComplexValued Adaptive Signal Processing

[1]  L. Hörmander,et al.  An introduction to complex analysis in several variables , 1973 .

[2]  Tülay Adali,et al.  Complex ICA by Negentropy Maximization , 2008, IEEE Transactions on Neural Networks.

[3]  Paolo Campolucci,et al.  Complex-valued neural networks with adaptive spline activation function for digital-radio-links nonlinear equalization , 1999, IEEE Trans. Signal Process..

[4]  Danilo P. Mandic,et al.  Nonlinear adaptive prediction of complex-valued signals by complex-valued PRNN , 2005, IEEE Transactions on Signal Processing.

[5]  Pierre Comon.  Circularité et signaux aléatoires à temps discret , 1994 .

[6]  Lang Tong,et al.  Indeterminacy and identifiability of blind identification , 1991 .

[7]  A. Hyvärinen,et al.  One-unit contrast functions for independent component analysis: a statistical analysis , 1997 .

[8]  Vince D. Calhoun,et al.  Performance of blind source separation algorithms for fMRI analysis using a group ICA method. , 2007, Magnetic resonance imaging.

[9]  B. A. D. H. Brandwood.  A complex gradient operator and its applica-tion in adaptive array theory , 1983 .

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

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

[12]  Danilo P. Mandic,et al.  Stochastic Gradient-Adaptive Complex-Valued Nonlinear Neural Adaptive Filters With a Gradient-Adaptive Step Size , 2007, IEEE Transactions on Neural Networks.

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

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

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

[16]  W. Wirtinger.  Zur formalen Theorie der Funktionen von mehr komplexen Veränderlichen , 1927 .

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

[18]  George Cybenko,et al.  Approximation by superpositions of a sigmoidal function , 1992, Math. Control. Signals Syst..

[19]  T. Adalı,et al.  ICA by Maximization of Nongaussianity using Complex Functions , 2005, 2005 IEEE Workshop on Machine Learning for Signal Processing.

[20]  Kanti V. Mardia,et al.  Families of Bivariate Distributions , 1970 .

[21]  Michele Scarpiniti,et al.  Generalized splitting functions for blind separation of complex signals , 2008, Neurocomputing.

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

[23]  Visa Koivunen,et al.  Complex ICA for circular and non-circular sources , 2005, 2005 13th European Signal Processing Conference.

[24]  Bernard Widrow,et al.  Adaptive switching circuits , 1988 .

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

[26]  Martin Fodslette Møller,et al.  A scaled conjugate gradient algorithm for fast supervised learning , 1993, Neural Networks.

[27]  Hualiang Li,et al.  Stability analysis of complex maximum likelihood ica using Wirtinger calculus , 2008, 2008 IEEE International Conference on Acoustics, Speech and Signal Processing.

[28]  Ken-ichi Funahashi,et al.  On the approximate realization of continuous mappings by neural networks , 1989, Neural Networks.

[29]  V. Koivunen,et al.  Ieee Workshop on Machine Learning for Signal Processing Complex-valued Ica Using Second , 2022 .

[30]  Hualiang Li,et al.  On properties of the widely linear MSE filter and its LMS implementation , 2009, 2009 43rd Annual Conference on Information Sciences and Systems.

[31]  Ali H. Sayed,et al.  Fundamentals Of Adaptive Filtering , 2003 .

[32]  Hans-Jürgen Butterweck.  A steady-state analysis of the LMS adaptive algorithm without use of the independence assumption , 1995, 1995 International Conference on Acoustics, Speech, and Signal Processing.

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

[34]  Stephen J. Wright,et al.  Numerical Optimization , 2018, Fundamental Statistical Inference.

[35]  Jeffrey G. Andrews,et al.  RLS adaptation of widely linear minimum output energy algorithm for DS-CDMA systems , 2005, Advanced Industrial Conference on Telecommunications/Service Assurance with Partial and Intermittent Resources Conference/E-Learning on Telecommunications Workshop (AICT/SAPIR/ELETE'05).

[36]  Andrzej Cichocki,et al.  Flexible Independent Component Analysis , 2000, J. VLSI Signal Process..

[37]  Francesco Piazza,et al.  Blind signal processing by complex domain adaptive spline neural networks , 2003, IEEE Trans. Neural Networks.

[38]  Danilo P. Mandic,et al.  A fully adaptive normalized nonlinear gradient descent algorithm for complex-valued nonlinear adaptive filters , 2003, IEEE Trans. Signal Process..

[39]  S. Araki,et al.  A POLAR-COORDINATE BASED ACTIVATION FUNCTION FOR FREQUENCY DOMAIN BLIND SOURCE SEPARATION , 2001 .

[40]  Hualiang Li,et al.  A Practical Formulation for Computation of Complex Gradients and its Application to Maximum Likelihood ICA , 2007, 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07.

[41]  N. N. Vakhania,et al.  Random Vectors with Values in Complex Hilbert Spaces , 1997 .

[42]  Hualiang Li,et al.  Gradient and Fixed-Point Complex ICA Algorithms Based on Kurtosis Maximization , 2006, 2006 16th IEEE Signal Processing Society Workshop on Machine Learning for Signal Processing.

[43]  Tülay Adali,et al.  Complex Fixed-Point ICA Algorithm for Separation of QAM Sources using Gaussian Mixture Model , 2007, 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07.

[44]  Nikos A. Vlassis,et al.  Efficient source adaptivity in independent component analysis , 2001, IEEE Trans. Neural Networks.

[45]  Terrence J. Sejnowski,et al.  Independent Component Analysis Using an Extended Infomax Algorithm for Mixed Subgaussian and Supergaussian Sources , 1999, Neural Computation.

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

[47]  Alfred Hanssen,et al.  A generalized likelihood ratio test for impropriety of complex signals , 2006, IEEE Signal Processing Letters.

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

[49]  Liqing Zhang,et al.  Self-adaptive blind source separation based on activation functions adaptation , 2004, IEEE Transactions on Neural Networks.

[50]  T. Adali,et al.  Complex ICA of Brain Imaging Data [Life Sciences] , 2007, IEEE Signal Processing Magazine.

[51]  Lutz H.-J. Lampe,et al.  A widely linear LMS algorithm for MAI suppression for DS-CDMA , 2003, IEEE International Conference on Communications, 2003. ICC '03..

[52]  Nirmal K. Bose,et al.  Landmine detection and classification with complex-valued hybrid neural network using scattering parameters dataset , 2005, IEEE Transactions on Neural Networks.

[53]  H. Howard Fan,et al.  A Newton-like algorithm for complex variables with applications in blind equalization , 2000, IEEE Trans. Signal Process..

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

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

[56]  Hualiang Li,et al.  Complex-valued adaptive signal processing using wirtinger calculus and its application to independent component analysis , 2008 .

[57]  Pascal Chevalier,et al.  Widely linear estimation with complex data , 1995, IEEE Trans. Signal Process..

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

[59]  Hualiang Li,et al.  Optimization in the Complex Domain for Nonlinear Adaptive Filtering , 2006, 2006 Fortieth Asilomar Conference on Signals, Systems and Computers.

[60]  Athanassios S. Fokas,et al.  Complex Variables: Contents , 2003 .

[61]  Vince D. Calhoun,et al.  Independent component analysis by complex nonlinearities , 2004, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[62]  V. D. Calhoun,et al.  Source Based Morphometry: Approaches to Identify Gray and White Matter Group Differences with Application to Schizophrenia , 2009, NeuroImage.

[63]  Aapo Hyvärinen,et al.  Fast and robust fixed-point algorithms for independent component analysis , 1999, IEEE Trans. Neural Networks.

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

[65]  Visa Koivunen,et al.  Complex random vectors and ICA models: identifiability, uniqueness, and separability , 2005, IEEE Transactions on Information Theory.

[66]  Charles R. Johnson,et al.  Topics in Matrix Analysis , 1991 .

[67]  Jeffrey G. Andrews,et al.  The blind widely linear minimum output energy algorithm for DS-CDMA systems , 2006, IEEE Transactions on Signal Processing.

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

[69]  Sofia C. Olhede,et al.  On probability density functions for complex variables , 2006, IEEE Transactions on Information Theory.

[70]  J. Reichenbach,et al.  Quantitative differentiation between BOLD models in fMRI , 2001, Magnetic resonance in medicine.

[71]  Danilo P. Mandic,et al.  Complex Valued Nonlinear Adaptive Filters , 2009 .

[72]  Andrzej Cichocki,et al.  Robust neural networks with on-line learning for blind identification and blind separation of sources , 1996 .

[73]  Tülay Adali,et al.  Approximation by Fully Complex Multilayer Perceptrons , 2003, Neural Computation.

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

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

[76]  Hualiang Li,et al.  Complex-Valued Adaptive Signal Processing Using Nonlinear Functions , 2008, EURASIP J. Adv. Signal Process..

[77]  N. R. Goodman.  Statistical analysis based on a certain multivariate complex Gaussian distribution , 1963 .

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

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

[80]  Andrzej Cichocki,et al.  Stability Analysis of Learning Algorithms for Blind Source Separation , 1997, Neural Networks.

[81]  Bart De Moor,et al.  On the blind separation of non-circular sources , 2002, 2002 11th European Signal Processing Conference.

[82]  Charles W. Therrien,et al.  Probability for electrical and computer engineers , 2004 .

[83]  Jean-Louis Lacoume,et al.  Statistics for complex variables and signals - Part II: signals , 1996, Signal Process..

[84]  Louis L. Scharf,et al.  Second-order analysis of improper complex random vectors and processes , 2003, IEEE Trans. Signal Process..

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

[86]  Dennis R. Morgan.  Adaptive algorithms for a two-channel structure employing allpass filters, with applications to polarization mode dispersion compensation , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[87]  Vince D. Calhoun,et al.  Complex ICA for fMRI analysis: performance of several approaches , 2003, 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03)..

[88]  T. Adali,et al.  Adaptable Nonlinearity for Complex Maximization of Nongaussianity and a Fixed-Point Algorithm , 2006, 2006 16th IEEE Signal Processing Society Workshop on Machine Learning for Signal Processing.

[89]  Mark E. Johnson.  C51. Computer generation of the exponential power distribution , 1979 .

[90]  Daesik Hong,et al.  Nonlinear blind equalization schemes using complex-valued multilayer feedforward neural networks , 1998, IEEE Trans. Neural Networks.

[91]  Visa Koivunen,et al.  Pearson System based Method for Blind Separation , 2000 .

[92]  Tülay Adali,et al.  Fully Complex Multi-Layer Perceptron Network for Nonlinear Signal Processing , 2002, J. VLSI Signal Process..

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

[94]  Carl D. Meyer,et al.  Matrix Analysis and Applied Linear Algebra , 2000 .

[95]  Luigi Fortuna,et al.  Multilayer perceptrons to approximate complex valued functions , 1995, Int. J. Neural Syst..

[96]  T. Adalı,et al.  Fully complex backpropagation for constant envelope signal processing , 2000, Neural Networks for Signal Processing X. Proceedings of the 2000 IEEE Signal Processing Society Workshop (Cat. No.00TH8501).

[97]  Akira Hirose,et al.  Continuous complex-valued back-propagation learning , 1992 .

[98]  Are Hjørungnes,et al.  Complex-Valued Matrix Differentiation: Techniques and Key Results , 2007, IEEE Transactions on Signal Processing.

[99]  Russell M. Mersereau,et al.  Adaptive subband video coding using bivariate generalized Gaussian distribution model , 1996, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings.

[100]  Pascal Chevalier,et al.  New insights into optimal widely linear array receivers for the demodulation of BPSK, MSK, and GMSK signals corrupted by noncircular interferences-application to SAIC , 2006, IEEE Transactions on Signal Processing.

[101]  Kurt Hornik,et al.  Multilayer feedforward networks are universal approximators , 1989, Neural Networks.

[102]  Donald L. Birx,et al.  A complex mapping network for phase sensitive classification , 1993, IEEE Trans. Neural Networks.

[103]  Henry C. Thacher,et al.  Applied and Computational Complex Analysis. , 1988 .

[104]  Philippe Garat,et al.  Blind separation of mixture of independent sources through a quasi-maximum likelihood approach , 1997, IEEE Trans. Signal Process..

[105]  Tülay Adali,et al.  The Maximum Likelihood Approach to Complex ICA , 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

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

[107]  R. Remmert,et al.  Theory of Complex Functions , 1990 .

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