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SIMON HAYKIN, PhD, is University Professor and Director of the Adaptive Systems Laboratory at McMaster University.

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A complete, one-stop reference on the state of the art of unsupervised adaptive filtering

While unsupervised adaptive filtering has its roots in the 1960s, more recent advances in signal processing, information theory, imaging, and remote sensing have made this a hot area for research in several diverse fields. This book brings together cutting-edge information previously available only in disparate papers and articles, presenting a thorough and integrated treatment of the two major classes of algorithms used in the field, namely, blind signal separation and blind channel equalization algorithms.

Divided into two volumes for ease of presentation, this important work shows how these algorithms, although developed independently, are closely related foundations of unsupervised adaptive filtering. Through contributions by the foremost experts on the subject, the book provides an up-to-date account of research findings, explains the underlying theory, and discusses potential applications in diverse fields. More than 100 illustrations as well as case studies, appendices, and references further enhance this excellent resource. Following coverage begun in Volume I: Blind Source Separation, this volume discusses:
* The core of FSE-CMA behavior theory
* Relationships between blind deconvolution and blind source separation
* Blind separation of independent sources based on multiuser kurtosis optimization criteria

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Unsupervised Adaptive Filtering, Volume 2, Blind Deconvolution

John Wiley & Sons

Contents

Contributors................................................................................................................................................................................................................................................viiPreface.....................................................................................................................................................................................................................................................xi1 Introduction Simon Haykin...............................................................................................................................................................................................................................11.1 Why Adaptive Filtering?.................................................................................................................................................................................................................................11.2 Supervised and Unsupervised Forms of Adaptive Filtering.................................................................................................................................................................................................21.3 Two Important Unsupervised Signal-Processing Tasks......................................................................................................................................................................................................31.4 Three Fundamental Approaches to Unsupervised Adaptive Filtering.........................................................................................................................................................................................61.5 Organization of Volume II...............................................................................................................................................................................................................................10References..................................................................................................................................................................................................................................................112 The Core of FSE-CMA Behavior Theory C. R. Johnson, Jr., P. Schniter, I. Fijalkow, L. Tong, J. D. Behm, M. G. Larimore, D. R. Brown, R. A. Casas, T. J. Endres, S. Lambotharan, A. Touzni, H. H. Zeng, M. Green, and J. R. Treichler.....................132.1 Introduction............................................................................................................................................................................................................................................142.2 MMSE Equalization and LMS...............................................................................................................................................................................................................................222.3 The CM Criterion and CMA................................................................................................................................................................................................................................412.4 CMA-Adapted-Equalizer Design Issues with Illustrative Examples..........................................................................................................................................................................................752.5 Case Studies............................................................................................................................................................................................................................................892.6 Conclusions.............................................................................................................................................................................................................................................106References..................................................................................................................................................................................................................................................1083 Relationships between Blind Deconvolution and Blind Source Separation Scott C. Douglas and Simon Haykin.................................................................................................................................................1133.1 Introduction............................................................................................................................................................................................................................................1133.2 Problem Descriptions....................................................................................................................................................................................................................................1173.3 Algorithmic Relationships...............................................................................................................................................................................................................................1223.4 Structural Relationships................................................................................................................................................................................................................................1293.5 Extensions..............................................................................................................................................................................................................................................1403.6 Conclusions.............................................................................................................................................................................................................................................142References..................................................................................................................................................................................................................................................1424 Blind Separation of Independent Sources Based on Multiuser Kurtosis Optimization Criteria Constantinos B. Papadias......................................................................................................................................1474.1 Introduction............................................................................................................................................................................................................................................1484.2 Problem Formulation and Assumptions.....................................................................................................................................................................................................................1504.3 Review: The Single-User Equalization Problem............................................................................................................................................................................................................1544.4 Necessary and Su1/2cient Conditions for BSS.............................................................................................................................................................................................................1604.5 Unconstrained Criteria: The MU-CM Approach..............................................................................................................................................................................................................1624.6 Constrained Criteria: The MUK Approach..................................................................................................................................................................................................................1654.7 Numerical Examples......................................................................................................................................................................................................................................1714.8 Conclusions.............................................................................................................................................................................................................................................175References..................................................................................................................................................................................................................................................176Index.......................................................................................................................................................................................................................................................181

Preface

In 1994 Pierre Comon published a paper in a signal-processing journal on "independent component analysis," which was followed by Tony Bell and Terry Sejnowski's 1995 paper in a neural computation journal on the Infomax (or, more precisely, the maximum-entropy) algorithm for blind signal separation. Although, indeed, work on the blind signal-separation problem could be traced to a much earlier paper by J. Herault, C. Jutten, and B. Ans that was published in 1985, it would be fair to say that Pierre Comon's paper and that of Tony Bell and Terry Sejnowski served as catalysts for raising the profile of research interests in blind source separation to the extent that the subject has become a "hot" area with potential applications in a variety of diverse fields.

Despite the fact that blind channel equalization and blind source separation have originated in their own somewhat independent ways, they are in actual fact intimately related to each other. Indeed, they constitute the two pillars of unsupervised adaptive filtering. By bringing them together under the umbrella of this new book, organized in two volumes, not only have we provided an up-to-date treatment of blind signal-separation and blind channel-equalization algorithms and their underlying theoretical formalisms but also opened an avenue for the cross-fertilization of new ideas. Volume I of the book covers blind source-separation algorithms, and Volume II covers blind deconvolution (i.e., blind equalization) and its relationship to blind source separation.

I would like to take this opportunity to express my deep gratitude to each and every one of my coauthors for making the writing of this unique two-volume work a reality.

Simon Haykin

Ancaster, Ontario, Canada March 2000

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