Interference Calculus : A General Framework for Interference Management and Network Utility Optimization

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...

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Auteurs principaux: Schubert, Martin, 19..-, Boche, Holger, 19..- (Auteur)
格式: Livre numérique
語言:Anglais
出版: Berlin, Heidelberg : Springer Berlin Heidelberg 2012.
Cham : Springer Nature
叢編:Foundations in Signal Processing, Communications and Networking 7
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Edition sous un autre format:• Interference Calculus, A General Framework for Interference Management and Network Utility Optimization, by Martin Schubert, Holger Boche., Berlin, Heidelberg, Springer Berlin Heidelberg, Springer e-books, 2012, Foundations in Signal Processing, Communications and Networking, 978-3-642-24620-3
• Interference Calculus, Texte imprimé, 9783642246227
• Interference Calculus, Texte imprimé, 9783642433931
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505 0 |a Systems of Coupled Interference Functions -- The Structure of Interference Functions and Comprehensive Sets -- Nash Bargaining and Proportional Fairness -- The Power Minimization Problem -- Max-Min Fairness. 
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520 |a 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. 
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