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Foundations in Signal Processing, Communications and Network #6: Interference Calculus: A General Framework for Interference Management and Network Utility Optimization

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Foundations in Signal Processing, Communications and Network #6: Interference Calculus: A General Framework for Interference Management and Network Utility Optimization Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

Interference Calculus develops a mathematical framework for modeling and optimizing interference-coupled multiuser systems. The concept of general interference functions is the core of the framework, which provides a simple means of characterizing interdependencies between users.

Table of Contents

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.

Product Details

ISBN:
9783642246203
Author:
Schubert, Martin
Publisher:
Springer
Author:
Boche, Holger
Subject:
Telecommunications
Subject:
Nash bargaining
Subject:
comprehensive sets
Subject:
convex optimization theory
Subject:
interference function
Subject:
interference-coupled multiuser systems
Subject:
monotonicity
Subject:
multiuser performance measures
Subject:
proportional fairness
Subject:
signal-to-interference ratio SIR
Subject:
Communications Engineering, Networks
Subject:
Systems Theory, Control
Subject:
complex networks
Subject:
Measure and Integration
Subject:
Game Theory, Economics, Social and Behav. Sciences
Subject:
Mathematics-Modeling
Copyright:
Edition Description:
2012
Series:
Foundations in Signal Processing, Communications and Networking
Series Volume:
6
Publication Date:
20120115
Binding:
HARDCOVER
Language:
English
Pages:
252
Dimensions:
235 x 155 mm

Related Subjects

Engineering » Communications » Telephony
Science and Mathematics » Materials Science » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Modeling

Foundations in Signal Processing, Communications and Network #6: Interference Calculus: A General Framework for Interference Management and Network Utility Optimization New Hardcover
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Product details 252 pages Springer - English 9783642246203 Reviews:
"Synopsis" by , Interference Calculus develops a mathematical framework for modeling and optimizing interference-coupled multiuser systems. The concept of general interference functions is the core of the framework, which provides a simple means of characterizing interdependencies between users.
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