On Limits of Wireless Communications in a Fading Environment when UsingMultiple Antennas
Wireless Personal Communications: An International Journal
Optimized signaling for MIMO interference systems with feedback
IEEE Transactions on Signal Processing
IEEE Transactions on Wireless Communications
Distributed Power Allocation With Rate Constraints in Gaussian Parallel Interference Channels
IEEE Transactions on Information Theory
Transmit beamforming and power control for cellular wireless systems
IEEE Journal on Selected Areas in Communications
Competitive Design of Multiuser MIMO Systems Based on Game Theory: A Unified View
IEEE Journal on Selected Areas in Communications
| Hi-index | 0.00 |
We consider a multi-link and multi-input-multi-output (MIMO) interference system in which each link wishes to minimize its own power by choosing its own signal vector subject to an information theoretic Quality-of-Service (QoS) requirement. Our setup leads to a multi-link game, referred to as a "power game", in which the feasible strategy set of an individual link depends on the strategies of the other links. We characterize the rates for which an equilibrium solution exists in a power game in terms of the equilibria of "capacity games" introduced in our earlier work [1]. We provide an example where the set of equilibrium rates is properly contained in the set of achievable rates. We provide a conservative estimate of the region of equilibrium rates using a minmax approach. We discuss the uniqueness of equilibrium as well as the convergence of best response dynamics (a.k.a. iterative water-filling) for all rates when the interference is sufficiently small and some other mild conditions are met. Finally, we extend our results to the case where the QoS requirements are softened.