Overview
- 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
Part of the book series: Foundations in Signal Processing, Communications and Networking (SIGNAL, volume 7)
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Table of contents(6 chapters)
About this book
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)
Authors and Affiliations
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Heinrich Hertz Institute for Telecommunications HHI Einsteinufer 37, Berlin, Germany
Martin Schubert
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Institute of Theoretical Information Technology, TU Munich, Munich, Germany
Holger Boche
Bibliographic Information
Book Title: Interference Calculus
Book Subtitle: A General Framework for Interference Management and Network Utility Optimization
Authors: Martin Schubert, Holger Boche
Series Title: Foundations in Signal Processing, Communications and Networking
DOI: https://doi.org/10.1007/978-3-642-24621-0
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag GmbH Berlin Heidelberg 2012
Hardcover ISBN: 978-3-642-24620-3Published: 14 March 2012
Softcover ISBN: 978-3-642-43393-1Published: 13 April 2014
eBook ISBN: 978-3-642-24621-0Published: 20 November 2011
Series ISSN: 1863-8538
Series E-ISSN: 1863-8546
Edition Number: 1
Number of Pages: XII, 240
Topics: Communications Engineering, Networks, Systems Theory, Control, Applications of Graph Theory and Complex Networks, Measure and Integration, Game Theory, Economics, Social and Behav. Sciences