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Fundamentals of Resource Allocation in Wireless Networks

Theory and Algorithms

  • Book
  • © 2008

Overview

Authors:
  1. Slawomir Stanczak

    1. Inst. Telekommunikationssysteme, LS für Mobilkommunikation, TU Berlin , Berlin, Germany

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  2. Marcin Wiczanowski

    1. Fak. Elektrotechnik und Informatik, Heinrich-Hertz LS für Mobilkommunikation, TU Berlin, Berlin, Germany

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  3. Holger Boche

    1. Nachrichtentechnik, Heinrich-Hertz-Inst., Fraunhofer-Institut für, Berlin, Germany

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  • Provides the tools for better understanding the fundamental tradeoffs and interdependencies in wireless networks
  • Shows that mathematics is the key technology to cope with central technical problems in the design of wireless networks
  • Includes supplementary material: sn.pub/extras

Part of the book series: Foundations in Signal Processing, Communications and Networking (SIGNAL, volume 3)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xxiv
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  2. Mathematical Framework

    1. Front Matter

      Pages 1-1
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  3. Part I Mathematical Framework

    1. On the Perron Root of Irreducible Matrices

      • Sławomir Stańczak, Marcin Wiczanowski, Holger Boche
      Pages 3-60

    2. On the Positive Solution to a Linear System with Nonnegative Coefficients

      • Sławomir Stańczak, Marcin Wiczanowski, Holger Boche
      Pages 61-78

  4. Principles of Resource Allocation in Wireless Networks

    1. Front Matter

      Pages 79-79
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  5. Part II Principles of Resource Allocation in Wireless Networks

    1. Introduction

      • Sławomir Stańczak, Marcin Wiczanowski, Holger Boche
      Pages 81-83

    2. Network Model

      • Sławomir Stańczak, Marcin Wiczanowski, Holger Boche
      Pages 85-117

    3. Resource Allocation Problem in Communications Networks

      • Sławomir Stańczak, Marcin Wiczanowski, Holger Boche
      Pages 119-257

  6. Algorithms

    1. Front Matter

      Pages 259-259
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  7. Part III Algorithms

    1. Power Control Algorithms

      • Sławomir Stańczak, Marcin Wiczanowski, Holger Boche
      Pages 261-344

  8. Appendices

    1. Front Matter

      Pages 345-345
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  9. Part IV Appendices

    1. Some Concepts and Results from Matrix Analysis

      • Sławomir Stańczak, Marcin Wiczanowski, Holger Boche
      Pages 347-376

    2. Some Concepts and Results from Convex Analysis

      • Sławomir Stańczak, Marcin Wiczanowski, Holger Boche
      Pages 377-400

  10. Back Matter

    Pages 1-27
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Keywords

About this book

The purpose of this book is to provide tools for a better understanding of the fundamental tradeo?s and interdependencies in wireless networks, with the goal of designing resource allocation strategies that exploit these int- dependencies to achieve signi?cant performance gains. Two facts prompted us to write it: First, future wireless applications will require a fundamental understanding of the design principles and control mechanisms in wireless networks. Second, the complexity of the network problems simply precludes the use of engineering common sense alone to identify good solutions, and so mathematics becomes the key avenue to cope with central technical problems in the design of wireless networks. In this book, two ?elds of mathematics play a central role: Perron-Frobenius theory for non-negative matrices and optimization theory. This book is a revised and expanded version of the research monograph “Resource Allocation in Wireless Networks” that was published as Lecture Notes in Computer Sciences (LNCS 4000) in 2006. Although the general structure has remained unchanged to a large extent, the book contains - merous additional results and more detailed discussion. For instance, there is a more extensive treatment of general nonnegative matrices and interf- ence functions that are described by an axiomatic model. Additional material on max-min fairness, proportional fairness, utility-based power control with QoS (quality of service) support and stochastic power control has been added.

Reviews

From the reviews of the second edition: “In a world of ubiquitous wireless services there is constant demand for reliable and fast connections. … The book Fundamentals of Resource Allocation in Wireless Networks: Theory and Algorithms written by Stanczak, Wiczanowski, and Boche, all from Technical University of Berlin, is a great example of a book that presents such a formal analysis toolbox. … The book is well organized, and the typography is of high standard. For all engineers and scientists interested in advanced concepts in resource allocation this book is a must-read.” (Przemyslaw Pawelczak, IEEE Communications Magazine, February, 2010)

Authors and Affiliations

  • Inst. Telekommunikationssysteme, LS für Mobilkommunikation, TU Berlin , Berlin, Germany

    Slawomir Stanczak

  • Fak. Elektrotechnik und Informatik, Heinrich-Hertz LS für Mobilkommunikation, TU Berlin, Berlin, Germany

    Marcin Wiczanowski

  • Nachrichtentechnik, Heinrich-Hertz-Inst., Fraunhofer-Institut für, Berlin, Germany

    Holger Boche

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