QRD-RLS Adaptive Filtering

This book provides tools and knowledge in a simple way so that the reader is able to implement a particular QRD-RLS algorithm tailored for the application at hand. The book comprehensively compiles the research of more than a decade into a single publication.

I feel very honoured to have been asked to write a brief foreword for this book on QRD-RLS Adaptive Filteringasubjectwhichhas been close to my heart for many years. The book is well written and very timely I look forward personally to seeing it in print. The editor is to be congratulated on assembling such a highly esteemed team of contributing authors able to span the broad range of topics and concepts which underpin this subject. In many respects, and for reasons well expounded by the authors, the LMS al- rithm has reigned supreme since its inception, as the algorithm of choice for prac- cal applications of adaptive ltering. However, as a result of the relentless advances in electronic technology, the demand for stable and ef cient RLS algorithms is growing rapidly not just because the higher computational load is no longer such a serious barrier, but also because the technological pull has grown much stronger in the modern commercial world of 3G mobile communications, cognitive radio, high speed imagery, and so on.

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 Includes supplementary material: sn.pub/extras

Klappentext

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.

Inhalt
QR Decomposition An Annotated Bibliography.- to Adaptive Filters.- Conventional and Inverse QRD-RLS Algorithms.- Fast QRD-RLS Algorithms.- QRD Least-Squares Lattice Algorithms.- Multichannel Fast QRD-RLS Algorithms.- Householder-Based RLS Algorithms.- Numerical Stability Properties.- Finite and Infinite-Precision Properties of QRD-RLS Algorithms.- On Pipelined Implementations of QRD-RLS Adaptive Filters.- Weight Extraction of Fast QRD-RLS Algorithms.- Linear Constrained QRD-Based Algorithm.