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Applications of Algebra to Communications, Control, and Signal Processing

  • Book
  • © 2012

Overview

Authors:
  1. Nigel Boston

    1. , Department of Electrical and Computer En, University of Wisconsin, Madison, USA

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Part of the book series: SpringerBriefs in Computer Science (BRIEFSCOMPUTER)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Introduction

    • Nigel Boston
    Pages 1-3

  3. Algebraic Tools

    • Nigel Boston
    Pages 5-16

  4. Traditional Applications

    • Nigel Boston
    Pages 17-23

  5. Recent Applications to Communications

    • Nigel Boston
    Pages 25-34

  6. Emerging Applications to Signal Processing

    • Nigel Boston
    Pages 35-41

  7. Back Matter

    Pages 43-44
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Keywords

About this book

Over the last 50 years there have been an increasing number of applications of algebraic tools to solve problems in communications, in particular in the fields of error-control codes and cryptography. More recently, broader applications have emerged, requiring quite sophisticated algebra - for example, the Alamouti scheme in MIMO communications is just Hamilton's quaternions in disguise and has spawned the use of PhD-level algebra to produce generalizations. Likewise, in the absence of credible alternatives, the industry has in many cases been forced to adopt elliptic curve cryptography. In addition, algebra has been successfully applied to problems in signal processing such as face recognition, biometrics, control design, and signal design for radar. This book introduces the reader to the algebra they need to appreciate these developments and to various problems solved by these techniques.

Authors and Affiliations

  • , Department of Electrical and Computer En, University of Wisconsin, Madison, USA

    Nigel Boston

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