Nash bargaining and proportional fairness for wireless systems
IEEE/ACM Transactions on Networking (TON)
Perron-root minimization for interference-coupled systems with adaptive receive strategies
IEEE Transactions on Communications
A unified framework for interference modeling for multi-user wireless networks
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
A unifying approach to interference modeling for wireless networks
IEEE Transactions on Signal Processing
| Hi-index | 754.84 |
The behavior of certain interference-coupled multiuser systems can be modeled by means of logarithmically convex (log-convex) interference functions. In this paper, we show fundamental properties of this framework. A key observation is that any log-convex interference function can be expressed as an optimum over elementary log-convex interference functions. The results also contribute to a better understanding of certain quality-of-service (QoS) tradeoff regions, which can be expressed as sublevel sets of log-convex interference functions. We analyze the structure of the QoS region and provide conditions for the achievability of boundary points. The proposed framework of log-convex interference functions generalizes the classical linear interference model, which is closely connected with the theory of irreducible nonnegative matrices (Perron-Frobenius theory). We discuss some possible applications in robust communication, cooperative game theory, and max-min fairness.