Foundations in Signal Processing, Communications and Networking

Interference Calculus

A General Framework for Interference Management and Network Utility Optimization

Authors: Schubert, Martin, Boche, Holger

  • Presents a mathematical framework for modeling and optimizing interference-coupled multiuser systems
  • Relevant for researchers from many disciplines
  • Proofs and detailed calculations should help the reader in penetrating the subject
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About this book

This book develops a mathematical framework for modeling and optimizing interference-coupled multiuser systems. At the core of this framework is the concept of general interference functions, which provides a simple means of characterizing interdependencies between users. The entire analysis builds on the two core axioms scale-invariance and monotonicity.
The proposed network calculus has its roots in power control theory and wireless communications. It adds theoretical tools for analyzing the typical behavior of interference-coupled networks. In this way it complements existing game-theoretic approaches.
The framework should also be viewed in conjunction with optimization theory. There is a fruitful interplay between the theory of interference functions and convex optimization theory. By jointly exploiting the properties of interference functions, it is possible to design algorithms that outperform general-purpose techniques that only exploit convexity.
The title “network calculus” refers to the fact that the theory of interference functions constitutes a generic theoretical framework for the analysis of interference coupled systems. Certain operations within the framework are “closed”, that is, combinations of interference functions are interference functions again. Also, certain properties are preserved under such operations. This, provides a methodology for analyzing different multiuser performance measures that can be expressed as interference functions or combinations of interference functions.

Reviews

From the reviews:

“The book provides an overview of recent advances in the field with particular emphasis on analysing the elementary structure properties of interference functions … . Generally, the targeted audience includes graduate students of engineering and applied mathematics, as well as academic and industrial researchers in the field of wireless communications, networking, control and game theory. No particular background is needed for reading the book, except for some familiarity with basic concepts from convex analysis and linear algebra.” (Vangelis Grigoroudis, Zentralblatt MATH, Vol. 1251, 2012)


Table of contents (6 chapters)

  • Introduction

    Schubert, Martin (et al.)

    Pages 1-16

  • Systems of Coupled Interference Functions

    Schubert, Martin (et al.)

    Pages 17-38

  • The Structure of Interference Functions and Comprehensive Sets

    Schubert, Martin (et al.)

    Pages 39-98

  • Nash Bargaining and Proportional Fairness for Log-Convex Utility Sets

    Schubert, Martin (et al.)

    Pages 99-154

  • QoS-Constrained Power Minimization

    Schubert, Martin (et al.)

    Pages 155-182

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-3-642-24621-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-3-642-24620-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • ISBN 978-3-642-43393-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Interference Calculus
Book Subtitle
A General Framework for Interference Management and Network Utility Optimization
Authors
Series Title
Foundations in Signal Processing, Communications and Networking
Series Volume
7
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag GmbH Berlin Heidelberg
eBook ISBN
978-3-642-24621-0
DOI
10.1007/978-3-642-24621-0
Hardcover ISBN
978-3-642-24620-3
Softcover ISBN
978-3-642-43393-1
Series ISSN
1863-8538
Edition Number
1
Number of Pages
XII, 240
Topics