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A Game Theoretic Approach to Power Optimization in MIMO Interference Systems
 

Summary: 1
A Game Theoretic Approach to Power Optimization
in MIMO Interference Systems
G¨urdal Arslan, M. Fatih Demirkol, and Serdar Y¨uksel
August 19, 2009
Abstract
A multi-link and multi-input-multi-output (MIMO) interference system is considered 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. This 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. The rates for which an equilibrium
solution exists in a power game is characterized in terms of the equilibria of "capacity games" introduced in our
earlier work. An example is provided where the set of equilibrium rates is properly contained in the set of achievable
rates. A conservative estimate of the region of equilibrium rates is provided using a minmax approach. The results
are extended to the case where the QoS requirements are relaxed. Finally, the uniqueness of equilibrium as well
as the convergence of the best response dynamics (a.k.a. iterative water-filling) is shown for all rates when the
interference is sufficiently small and some other mild conditions are met.
This work was supported by NSF Grant #ECCS-0547692 and Natural Sciences and Engineering Research Council of Canada (NSERC) in
the form of a Discovery Grant. This paper appeared in part at the GameNets 2009 International Conference on Game Theory for Networks,
2009, Turkey.
G. Arslan is with the Department of Electrical Engineering, University of Hawaii at Manoa, 440 Holmes Hall, 2540 Dole Street, Honolulu,

  

Source: Arslan, Gürdal - Department of Electrical Engineering, University of Hawai'i at Manoa
Yüksel, Serdar - Department of Mathematics and Statistics, Queen's University (Kingston)

 

Collections: Engineering; Mathematics