Theory of affine projection algorithms for adaptive filtering [electronic resource] / Kazuhiko Ozeki.
Ozeki, Kazuhiko, author.
2016
TK7872.F5
Available Online

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Title Theory of affine projection algorithms for adaptive filtering [electronic resource] / Kazuhiko Ozeki.
Author Ozeki, Kazuhiko, author.
ISBN 9784431557388 (electronic book)
4431557385 (electronic book)
9784431557371
DOI https://doi.org/10.1007/978-4-431-55738-8
Published Tokyo : Springer, 2016.
Copyright ©2016
Language English
Description 1 online resource.
Item Number 10.1007/978-4-431-55738-8 doi
Call Number TK7872.F5
Dewey Decimal Classification 621.3815324
Summary This book focuses on theoretical aspects of the affine projection algorithm (APA) for adaptive filtering. The APA is a natural generalization of the classical, normalized least-mean-squares (NLMS) algorithm. The book first explains how the APA evolved from the NLMS algorithm, where an affine projection view is emphasized. By looking at those adaptation algorithms from such a geometrical point of view, we can find many of the important properties of the APA, e.g., the improvement of the convergence rate over the NLMS algorithm especially for correlated input signals. After the birth of the APA in the mid-1980s, similar algorithms were put forward by other researchers independently from different perspectives. This book shows that they are variants of the APA, forming a family of APAs. Then it surveys research on the convergence behavior of the APA, where statistical analyses play important roles. It also reviews developments of techniques to reduce the computational complexity of the APA, which are important for real-time processing. It covers a recent study on the kernel APA, which extends the APA so that it is applicable to identification of not only linear systems but also nonlinear systems. The last chapter gives an overview of current topics on variable parameter APAs. The book is self-contained, and is suitable for graduate students and researchers who are interested in advanced theory of adaptive filtering.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (viewed July 28, 2015).
Series Mathematics for industry (Springer (Firm)) ; v. 22.
Available in Other Form Print version: 9784431557371
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Introduction
Classical Adaptation Algorithms
Affine Projection Algorithm
Family of Affine Projection Algorithms
Convergence Behavior of APA
Reduction of Computational Complexity
Kernel Affine Projection Algorithm
Variable Parameter APAs
Appendix; Matrices.

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