Complete characterization of the Pareto boundary of interference-coupled wireless systems with power constraints — The log-convex case

Authors:
Holger Boche;Martin Schubert
Affiliations:
Heinrich Hertz Chair for Mobile Communications, Faculty of EECS, Technical University of Berlin, 10587, Germany;Fraunhofer German-Sino Lab for Mobile Communications (MCI), Einsteinufer 37, 10587 Berlin, Germany
Venue:
ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
Year:
2009

Citing 0
Cited 2

Mechanism design and implementation theoretic perspective of interference coupled wireless systems

Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
Pareto boundary of utility sets for multiuser wireless systems

IEEE/ACM Transactions on Networking (TON)

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Abstract

In this paper we analyze the structure of certain power-constrained utility sets, based on the axiomatic framework of log-convex interference functions. Log-convex interference functions contain convex and linear interference functions as a special case. We analyze the boundary of the set. It is shown how Pareto optimality of boundary points depends on the interference coupling between the users. Finally, we investigate feasible sets of signal-to-interference-plus-noise ratios for individual power constraints and a sum power constraint. We show certain properties that are desirable, e.g. in the context of cooperative game theory.