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

✍ Scribed by Martin Schubert, Holger Boche (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2012
• Tongue: English
• Leaves: 250
• Series: Foundations in Signal Processing, Communications and Networking 7
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages -
Introduction....Pages 1-16
Systems of Coupled Interference Functions....Pages 17-38
The Structure of Interference Functions and Comprehensive Sets....Pages 39-98
Nash Bargaining and Proportional Fairness for Log-Convex Utility Sets....Pages 99-154
QoS-Constrained Power Minimization....Pages 155-182
Weighted SIR Balancing....Pages 183-195
Back Matter....Pages -

✦ Subjects

Communications Engineering, Networks;Systems Theory, Control;Complex Networks;Measure and Integration;Game Theory, Economics, Social and Behav. Sciences