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...

Full description

Bibliographic Details
Main Authors: Schubert, Martin, Boche, Holger (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2012, 2012
Edition:1st ed. 2012
Series:Foundations in Signal Processing, Communications and Networking
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
LEADER 03091nmm a2200397 u 4500
001 EB000388001
003 EBX01000000000000000241053
005 00000000000000.0
007 cr|||||||||||||||||||||
008 130626 ||| eng
020 |a 9783642246210 
100 1 |a Schubert, Martin 
245 0 0 |a Interference Calculus  |h Elektronische Ressource  |b A General Framework for Interference Management and Network Utility Optimization  |c by Martin Schubert, Holger Boche 
250 |a 1st ed. 2012 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 2012, 2012 
300 |a XII, 240 p  |b online resource 
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 
653 |a Measure theory 
653 |a Game Theory 
653 |a Control theory 
653 |a Systems Theory, Control 
653 |a Game theory 
653 |a Graph Theory 
653 |a System theory 
653 |a Telecommunication 
653 |a Communications Engineering, Networks 
653 |a Measure and Integration 
653 |a Graph theory 
700 1 |a Boche, Holger  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
490 0 |a Foundations in Signal Processing, Communications and Networking 
028 5 0 |a 10.1007/978-3-642-24621-0 
856 4 0 |u https://doi.org/10.1007/978-3-642-24621-0?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 621.382 
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