Overview
- Constitutes the first comprehensive book focused on the affine projection algorithm
- Is written by one of the originators of the affine projection algorithm
- Is self-contained with relevant mathematical materials in voluminous appendices
- Includes supplementary material: sn.pub/extras
Part of the book series: Mathematics for Industry (MFI, volume 22)
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Table of contents (8 chapters)
Keywords
About this book
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.
Authors and Affiliations
About the author
Professor Emeritus, The University of Electro-Communications
Tokyo, Japan.
Bibliographic Information
Book Title: Theory of Affine Projection Algorithms for Adaptive Filtering
Authors: Kazuhiko Ozeki
Series Title: Mathematics for Industry
DOI: https://doi.org/10.1007/978-4-431-55738-8
Publisher: Springer Tokyo
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Japan KK 2016
Hardcover ISBN: 978-4-431-55737-1Published: 11 August 2015
Softcover ISBN: 978-4-431-56310-5Published: 23 October 2016
eBook ISBN: 978-4-431-55738-8Published: 22 July 2015
Series ISSN: 2198-350X
Series E-ISSN: 2198-3518
Edition Number: 1
Number of Pages: XII, 223
Number of Illustrations: 32 b/w illustrations
Topics: Signal, Image and Speech Processing, Mathematical Modeling and Industrial Mathematics, Mathematical and Computational Engineering, Projective Geometry