Matrix analysis
Rate of convergence for minimum power assignment algorithms in cellular radio systems
Wireless Networks - Special issue transmitter power control
Adaptive power control and MMSE interference suppression
Wireless Networks
IEEE/ACM Transactions on Networking (TON)
Radio Resource Management for Wireless Networks
Radio Resource Management for Wireless Networks
A utility-based power-control scheme in wireless cellular systems
IEEE/ACM Transactions on Networking (TON)
A Nash game algorithm for SIR-based power control in 3G wireless CDMA networks
IEEE/ACM Transactions on Networking (TON)
QoS-based resource allocation and transceiver optimization
Communications and Information Theory
IEEE/ACM Transactions on Networking (TON)
ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
Nash bargaining and proportional fairness for wireless systems
IEEE/ACM Transactions on Networking (TON)
A unifying approach to interference modeling for wireless networks
IEEE Transactions on Signal Processing
A framework for uplink power control in cellular radio systems
IEEE Journal on Selected Areas in Communications
IEEE Transactions on Information Theory
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
Generalized two-hop relay for flexible delay control in MANETs
IEEE/ACM Transactions on Networking (TON)
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Pareto optimality is an important property in game theory and mechanism design, which can be utilized to design resource allocation strategies in wireless systems. We analyze the structure of the boundary points of certain utility sets based on interference functions. We particularly investigate the cases with no power constraints, with individual power constraints, and with a total power constraint. We display the dependency between Pareto optimality and interference coupling in wireless systems. An axiomatic framework of interference functions and a global dependency matrix is used to characterize interference coupling in wireless systems. The relationship between interference-balancing functions and Pareto optimality of the boundary points is elucidated. Among other results, it is shown that the boundary points of utility sets with individual power constraints and with strictly monotonic interference functions are Pareto-optimal if and only if the corresponding restricted global dependency matrix is irreducible. The obtained results provide certain insight when suitable algorithms can be designed for network utility maximization.