Rate of convergence for minimum power assignment algorithms in cellular radio systems
Wireless Networks - Special issue transmitter power control
QoS-based resource allocation and transceiver optimization
Communications and Information Theory
IEEE/ACM Transactions on Networking (TON)
Concave and Convex Interference Functions—General Characterizations and Applications
IEEE Transactions on Signal Processing - Part I
A generalized framework for distributed power control in wireless networks
IEEE Transactions on Information Theory
The Structure of General Interference Functions and Applications
IEEE Transactions on Information Theory
A Calculus for Log-Convex Interference Functions
IEEE Transactions on Information Theory
A framework for uplink power control in cellular radio systems
IEEE Journal on Selected Areas in Communications
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
Impact of interference coupling - loss of convexity
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
INFOCOM'10 Proceedings of the 29th conference on Information communications
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The paper addresses the problem of interference modeling for wireless networks. Two axiomatic frameworks are known from the literature: (1) standard interference functions introduced by Yates in [JSAC 1995], and (2) general interference functions proposed by the authors in their previous work. In this paper, both frameworks are analyzed and compared. It is shown that (1) is contained in the more general framework (2). This means that certain structure results, which were recently derived for (2) can also be applied to (1). A focus of this paper is on convexity and concavity properties, which are important because they often lead to interesting algorithmic opportunities. The results provide a bridge between both frameworks, which have been studied separately in the past.