Kernel Adaptive Filtering

A Comprehensive Introduction

José C. Principe, Weifeng Liu, Simon Haykin

• Publisher: Wiley
• Year: 2011
• Print ISBN: 9780470447536
• eBook ISBN: 9781118211212
• Edition: 1
• Topic: Physical Sciences
• Subtopic: Waves & Wave Mechanics

Online learning from a signal processing perspective

There is increased interest in kernel learning algorithms in neural networks and a growing need for nonlinear adaptive algorithms in advanced signal processing, communications, and controls. Kernel Adaptive Filtering is the first book to present a comprehensive, unifying introduction to online learning algorithms in reproducing kernel Hilbert spaces. Based on research being conducted in the Computational Neuro-Engineering Laboratory at the University of Florida and in the Cognitive Systems Laboratory at McMaster University, Ontario, Canada, this unique resource elevates the adaptive filtering theory to a new level, presenting a new design methodology of nonlinear adaptive filters.

• Covers the kernel least mean squares algorithm, kernel affine projection algorithms, the kernel recursive least squares algorithm, the theory of Gaussian process regression, and the extended kernel recursive least squares algorithm

• Presents a powerful model-selection method called maximum marginal likelihood

• Addresses the principal bottleneck of kernel adaptive filters—their growing structure

• Features twelve computer-oriented experiments to reinforce the concepts, with MATLAB codes downloadable from the authors' Web site

• Concludes each chapter with a summary of the state of the art and potential future directions for original research

Kernel Adaptive Filtering is ideal for engineers, computer scientists, and graduate students interested in nonlinear adaptive systems for online applications (applications where the data stream arrives one sample at a time and incremental optimal solutions are desirable). It is also a useful guide for those who look for nonlinear adaptive filtering methodologies to solve practical problems.

Table of contents

• COVER
• TITLE
• COPYRIGHT
• PREFACE
• ACKNOWLEDGMENTS
• NOTATION
• ABBREVIATIONS AND SYMBOLS
• 1: BACKGROUND AND PREVIEW
• 2: KERNEL LEAST-MEAN-SQUARE ALGORITHM
• 3: KERNEL AFFINE PROJECTION ALGORITHMS
• 4: KERNEL RECURSIVE LEASTSQUARES ALGORITHM
• 5: EXTENDED KERNEL RECURSIVE LEAST-SQUARES ALGORITHM
• 6: DESIGNING SPARSE KERNEL ADAPTIVE FILTERS
• EPILOGUE
• APPENDIX A: MATHEMATICAL BACKGROUND
• APPENDIX B: APPROXIMATE LINEAR DEPENDENCY AND SYSTEM STABILITY
• REFERENCES
• ADAPTIVE AND LEARNING SYSTEMS FOR SIGNAL PROCESSING, COMMUNICATION, AND CONTROL
• INDEX