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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
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Interference Calculus - A General Framework for Interference Management and Network Utility Optimization (Hardcover, 2012)
Loot Price: R2,670
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Interference Calculus - A General Framework for Interference Management and Network Utility Optimization (Hardcover, 2012)
Series: Foundations in Signal Processing, Communications and Networking, 7
Expected to ship within 18 - 22 working days
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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.
General
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