- Provides a comprehensive framework of QRD-RLS adaptive filtering
- Compiles the research of more than a decade into a single publication
- Includes an important class of algorithms that are efficient in terms of speed of convergence, computational complexity, and numerical stability
- Covers algorithms for many scenarios such as single channel, multichannel, and output filtering
Buy this book
- About this book
-
QRD-RLS Adaptive Filtering covers some of the most recent developments as well as the basic concepts for a complete understanding of the QRD-RLS-based adaptive filtering algorithms. It presents this research with a clear historical perspective which highlights the underpinning theory and common motivating factors that have shaped the subject.
The material is divided into twelve chapters, going from fundamentals to more advanced aspects. Different algorithms are derived and presented, including basic, fast, lattice, multichannel and constrained versions. Important issues, such as numerical stability, performance in finite precision environments and VLSI oriented implementations are also addressed. All algorithms are derived using Givens rotations, although one chapter deals with implementations using Householder reflections.
QRD-RLS Adaptive Filtering is a useful reference for engineers and academics in the field of adaptive filtering.
- Reviews
-
From the reviews:
“Starting with a review of the history and the essential concepts in (numerical) linear algebra that are essential in the development of QR decomposition, the book continues with an overview of adaptive filtering techniques, including LMS and RLS algorithms. … The chapters flow on nicely from one to the other, and the editor is to be congratulated on achieving this. The book is a useful and welcome contribution to the broad topic of numerical linear algebra.” (Andrew Dale, Zentralblatt MATH, Vol. 1170, 2009)
- Table of contents (12 chapters)
-
-
QR Decomposition An Annotated Bibliography
Pages 1-22
-
Introduction to Adaptive Filters
Pages 1-27
-
Conventional and Inverse QRD-RLS Algorithms
Pages 1-35
-
Fast QRD-RLS Algorithms
Pages 1-27
-
QRD Least-Squares Lattice Algorithms
Pages 1-31
-
Table of contents (12 chapters)
- Download Preface 1 PDF (88.6 KB)
- Download Sample pages 2 PDF (776 KB)
- Download Table of contents PDF (120.8 KB)
Recommended for you

Bibliographic Information
- Bibliographic Information
-
- Book Title
- QRD-RLS Adaptive Filtering
- Editors
-
- JOSE ANTONIO APOLINARIO JR
- Copyright
- 2009
- Publisher
- Springer US
- Copyright Holder
- Springer-Verlag US
- eBook ISBN
- 978-0-387-09734-3
- DOI
- 10.1007/978-0-387-09734-3
- Hardcover ISBN
- 978-0-387-09733-6
- Softcover ISBN
- 978-1-4419-3526-7
- Edition Number
- 1
- Number of Pages
- XX, 356
- Topics