Matrix analysis
Base station transmitting antenna arrays for multipath environments
Signal Processing
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
Radio Resource Management for Wireless Networks
Radio Resource Management for Wireless Networks
INFOCOM '95 Proceedings of the Fourteenth Annual Joint Conference of the IEEE Computer and Communication Societies (Vol. 1)-Volume - Volume 1
Design of Hermite Subdivision Schemes Aided by Spectral Radius Optimization
SIAM Journal on Scientific Computing
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
A general theory for SIR balancing
EURASIP Journal on Wireless Communications and Networking
IEEE/ACM Transactions on Networking (TON)
On the Structure of the Multiuser QoS Region
IEEE Transactions on Signal Processing - Part I
IEEE Transactions on Signal Processing - Part I
Concave and Convex Interference Functions—General Characterizations and Applications
IEEE Transactions on Signal Processing - Part I
Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels
IEEE Transactions on Information Theory
On the Convexity of Feasible QoS Regions
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
IEEE Journal on Selected Areas in Communications
A framework for uplink power control in cellular radio systems
IEEE Journal on Selected Areas in Communications
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Interference in multiuser systems is often characterized by a non-negative and irreducible coupling matrix. The maximum eigenvalue (Perron root) of the weighted coupling matrix provides a single measure for the joint achievability of certain signal-to-interference ratios (SIR). In this paper, we address the more general case where the users are coupled by concave interference functions. This corresponds to a system with adaptive receive strategies which minimize the interference received by each user. A necessary and sufficient condition for feasibility is obtained by minimizing the Perron root over the set of possible receive strategies. This type of problem is directly related to the problem of (weighted) max-min-SIR balancing. This paper provides an analytical framework and an iterative algorithm that converges monotonically to a global optimum. We also study an alternative approach based on a fixed point iteration. This iteration is shown to converge to the global optimum if the SIR targets lie on the boundary of the region.