© 2009

QRD-RLS Adaptive Filtering

  • José Antonio Apolinário

Table of contents

  1. Front Matter
    Pages 1-17
  2. Marcello L.R. de Campos, Gilbert Strang
    Pages 1-22
  3. José A. Apolinário Jr, Sergio L. Netto
    Pages 1-27
  4. José A. Apolinário Jr, Maria D. Miranda
    Pages 1-35
  5. José A. Apolinário Jr, Paulo S.R. Diniz
    Pages 1-27
  6. Jenq-Tay Yuan
    Pages 1-31
  7. António L. L. Ramos, Stefan Werner
    Pages 1-34
  8. Athanasios A. Rontogiannis, Sergios Theodoridis
    Pages 1-23
  9. Phillip Regalia, Richard Le Borne
    Pages 1-29
  10. Paulo S.R. Diniz, Marcio G. Siqueira
    Pages 1-33
  11. Stefan Werner, Mohammed Mobien
    Pages 1-24
  12. Shiunn-Jang Chern
    Pages 1-23
  13. Back Matter
    Pages 1-4

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.


Adaptive Filter DSP QRD-RLS algorithms adaptive filtering algorithms filter filtering filters stability

Editors and affiliations

  • José Antonio Apolinário

There are no affiliations available

Bibliographic information

Industry Sectors
IT & Software
Oil, Gas & Geosciences


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)