Journal ArticleDOI
Super-exponential methods for blind deconvolution
Ofir Shalvi,E. Weinstein +1 more
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TLDR
A class of iterative methods for solving the blind deconvolution problem, i.e. for recovering the input of an unknown possibly nonminimum-phase linear system by observation of its output, is presented and shows that in many cases of practical interest the performance of the proposed methods is far superior to linear prediction methods even for minimum phase systems.Abstract:
A class of iterative methods for solving the blind deconvolution problem, i.e. for recovering the input of an unknown possibly nonminimum-phase linear system by observation of its output, is presented. These methods are universal do not require prior knowledge of the input distribution, are computationally efficient and statistically stable, and converge to the desired solution regardless of initialization at a very fast rate. The effects of finite length of the data, finite length of the equalizer, and additive noise in the system on the attainable performance (intersymbol interference) are analyzed. It is shown that in many cases of practical interest the performance of the proposed methods is far superior to linear prediction methods even for minimum phase systems. Recursive and sequential algorithms are also developed, which allow real-time implementation and adaptive equalization of time-varying systems. >read more
Citations
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Journal ArticleDOI
A fast fixed-point algorithm for independent component analysis
Aapo Hyvärinen,Erkki Oja +1 more
TL;DR: A novel fast algorithm for independent component analysis is introduced, which can be used for blind source separation and feature extraction, and the convergence speed is shown to be cubic.
Survey on Independent Component Analysis
TL;DR: This paper surveys the existing theory and methods for independent component analysis (ICA), in which the desired representation is the one that minimizes the statistical dependence of the components of the representation.
Journal ArticleDOI
Blind Source Separation by Sparse Decomposition in a Signal Dictionary
TL;DR: This work suggests a two-stage separation process: a priori selection of a possibly overcomplete signal dictionary in which the sources are assumed to be sparsely representable, followed by unmixing the sources by exploiting the their sparse representability.
Journal ArticleDOI
Adaptive blind signal processing-neural network approaches
Shun-ichi Amari,Andrzej Cichocki +1 more
TL;DR: Learning algorithms and underlying basic mathematical ideas are presented for the problem of adaptive blind signal processing, especially instantaneous blind separation and multichannel blind deconvolution/equalization of independent source signals.
Journal ArticleDOI
Generalized correlation function: definition, properties, and application to blind equalization
TL;DR: A new generalized correlation measure is developed that includes the information of both the distribution and that of the time structure of a stochastic process.
References
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Book
System Identification: Theory for the User
TL;DR: Das Buch behandelt die Systemidentifizierung in dem theoretischen Bereich, der direkte Auswirkungen auf Verstaendnis and praktische Anwendung der verschiedenen Verfahren zur IdentifIZierung hat.
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A Stochastic Approximation Method
Herbert Robbins,Sutton Monro +1 more
TL;DR: In this article, a method for making successive experiments at levels x1, x2, ··· in such a way that xn will tend to θ in probability is presented.
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Independent component analysis, a new concept?
TL;DR: An efficient algorithm is proposed, which allows the computation of the ICA of a data matrix within a polynomial time and may actually be seen as an extension of the principal component analysis (PCA).
Journal ArticleDOI
Self-Recovering Equalization and Carrier Tracking in Two-Dimensional Data Communication Systems
TL;DR: This paper solves the general problem of adaptive channel equalization without resorting to a known training sequence or to conditions of limited distortion.
Journal ArticleDOI
Bispectrum estimation: A digital signal processing framework
TL;DR: In this article, the authors place bispectrum estimation in a digital signal processing framework in order to aid engineers in grasping the utility of the available bispectral estimation techniques, and discuss application problems that can directly benefit from the use of the Bispectrum, and to motivate research in this area.