Least-Mean-Square Adaptive Filters (Adaptive and Learning Systems for Signal Processing, Communications and Control)

In the field of electrical engineering and signal processing, few algorithms have proven as adaptable as the least-mean-square (LMS) algorithm. Devised by Bernard Widrow and M. Hoff, this simple yet effective algorithm now represents the cornerstone for the design of adaptive transversal (tapped-delay-line) filters.

Today, working efficiently with LMS adaptive filters not only involves understanding their fundamentals, it also means staying current with their many applications in practical systems. However, no single resource has presented an up-to-the-minute examination of these and all other essential aspects of LMS filters–until now.

Edited by Simon Haykin and Bernard Widrow, the original inventor of the technology, Least-Mean-Square Adaptive Filters offers the most definitive look at the LMS filter available anywhere. Here, readers will get a commanding perspective on the desirable properties that have made LMS filters the turnkey technology for adaptive signal processing. Just as importantly, Least-Mean-Square Adaptive Filters brings together the contributions of renowned experts whose insights reflect the state-of-the-art of the field today. In each chapter, the book presents the latest thinking on a wide range of vital, fast-emerging topics, including:

• Traveling-wave analysis of long LMS filters
• Energy conservation and the learning ability of LMS adaptive filters
• Robustness of LMS filters
• Dimension analysis for LMS filters
• Affine projection filters
• Proportionate adaptation
• Dynamic adaptation
• Error whitening Wiener filters

As the editors point out, there is no direct mathematical theory for the stability and steady-state performance of the LMS filter. But it is possible to chart its behavior in a stationary and nonstationary environment. Least-Mean-Square Adaptive Filters puts these defining characteristics into sharp focus, and–more than any other source–brings you up to speed on everything that the LMS filter has to offer.

• Edited by the original inventor of the technology.
• Includes contributions by the foremost experts in the field.
• The only book to cover these topics together.

BERNARD WIDROW, PhD, is Professor for Adaptive Systems at Stanford University.

Introduction (Simon Haykin).

1. On the Efficiency of Adaptive Algorithms (Berrnard Widrow and Max Kamenetsky).

2. Travelling-Wave Model of Long LMS Filters (Hans Butterweck).

3. Energy Conservation and the Learning Ability of LMS Adaptive Filters (Ali Sayed & Vitor H. Nascimento).

4. On the Robustness of LMS Filters (Babak Hassibi).

5. Dimension Analysis for Least-Mean-Square Algorithms (Iven M.Y. Mareels, et al.).

6. Control of LMS-Type Adaptive Filters (Eberhard Haensler and Gerhard Uwe Schmidt).

7. Affine Projection Algorithms (Steve Gay).

8. Proportionate Adaptation: New Paradigms in Adaptive Filters (Zhe Chen, et al.).

9. Steady-State Dynamic Weight Behavior in (N)LMS Adaptive Filters (A.A. (Louis) Beex and James R. Zeidler).

10. Error Whitening Wiener Filters: Theory and Algorithms (Jose Principe, et al.).

Index.