Adaptive Processing: The Least Mean Squares Approach with Applications in Transmission

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Adaptive Processing The Least Mean Squares Approach with Applications in Transmission Odile Macchi Laboratoire des Signaux et Systèmes France Providing an in-depth study of adaptive systems used in digital signal processing, this book presents both theoretical concepts and applications. The author provides a rigorous investigation of LMS adaptive processing and exemplifies the concepts with channel data equalisation, echo cancellation and prediction for bit rate reduction. The ...
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476 pp., Hardcover, ex library, else text clean and binding tight

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Overview

Adaptive Processing The Least Mean Squares Approach with Applications in Transmission Odile Macchi Laboratoire des Signaux et Systèmes France Providing an in-depth study of adaptive systems used in digital signal processing, this book presents both theoretical concepts and applications. The author provides a rigorous investigation of LMS adaptive processing and exemplifies the concepts with channel data equalisation, echo cancellation and prediction for bit rate reduction. The text is divided into four key areas:
  • Adaptive transversal filters, covering their transient aspects (speed of convergence) and their steady-state (fluctuations and misadjustment).
  • Implementation aspects (binary word lengths and simplified sign algorithms).
  • Tracking performance of adaptive filters in a time varying context.
  • Adaptive recursive filters and their stability problems.
This book presents a comprehensive mathematical treatment of adaptive processes based on realistic assumptions such as the finite memory of inputs. The author uses original research material organised in a unified framework. Particularly original are the chapters on sign algorithms, tracking performance and recursive filters in the presence of narrowband inputs. This comprehensive text will be of considerable interest to research students in digital communications and signal processing. In particular, this will be a valuable reference for professional practitioners working in the industrial R & D market.

Adaptive systems are used in digital signal processing and the theory is used in various branches of digital communications and signal processing. Providing an in-depth study of these adaptive systems, this comprehensive book explores both theoretical concepts and applications.

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Product Details

  • ISBN-13: 9780471934035
  • Publisher: Wiley, John & Sons, Incorporated
  • Publication date: 5/9/1995
  • Edition number: 1
  • Pages: 476
  • Product dimensions: 6.87 (w) x 9.94 (h) x 1.30 (d)

Table of Contents

Foreword
Preface
Notation
Pt. 1 The LMS Theory of Adaptive Transversal Filters 1
1 Introduction - the optimal filter 3
2 Adaptivity and recursivity 43
3 The LMS case with independent input vectors 61
4 A realistic model to prove convergence 101
5 The transient error and the speed of convergence [actual symbol not reproducible] 145
6 Fluctuations in the steady state and misadjustment 181
Pt. 2 Implementation Considerations 211
7 Complexity and precision of the LMS algorithm 213
8 The simplified sign algorithms 237
Pt. 3 Tracking the Time Variations 289
9 Adaptive filtering in the presence of time variations 291
10 Tracking bounded time variations 305
11 Tracking random time variations 333
12 The digital phase tracking loop 351
Pt. 4 Adaptive Recursive Filters 369
13 Recursive filtering and prediction in transmission 371
14 LMS recursive predictors 397
15 Stability of adaptive algorithms 411
16 Conclusion 451
Index 455
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