Competitive Design of Multiuser MIMO Interference Systems based on Game Theory: A Unified Framework

In this paper we focus on the maximization of the information rates subject to transmit power constraints for noncooperative multiple-input multiple-output (MIMO) systems, using the same physical resources, i.e., time, bandwidth and space. To derive decentralized solutions that do not require any co...

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Vydáno v:2008 IEEE International Conference on Acoustics, Speech and Signal Processing s. 5376 - 5379
Hlavní autoři: Scutari, G., Palomar, D.P., Barbarossa, S.
Médium: Konferenční příspěvek
Jazyk:angličtina
Vydáno: IEEE 01.03.2008
Témata:
Asynchronous iterative waterfilling
Bandwidth
Distributed algorithms
Game theory
Information rates
Interference Channel
Interference channels
Interference constraints
MIMO
Nash equilibria
Nash equilibrium
Nonlinear equations
Sufficient conditions
ISBN:9781424414833, 1424414830
ISSN:1520-6149
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Shrnutí:In this paper we focus on the maximization of the information rates subject to transmit power constraints for noncooperative multiple-input multiple-output (MIMO) systems, using the same physical resources, i.e., time, bandwidth and space. To derive decentralized solutions that do not require any cooperation among the systems, the optimization problem is formulated as a static noncooperative game. The analysis of the game for arbitrary MIMO interference channels is quite involved, since it requires the study of a set of nonlinear nondifferentiable matrix-valued equations, based on the MIMO waterfilling solution. To overcome this difficulty, we provide a new interpretation of the waterfilling operator, for the general MIMO multiuser case, as a matrix projection. This key result allows us to simplify the study of the game and to obtain sufficient conditions for both uniqueness of the Nash equilibrium (NE) and convergence of the proposed totally asynchronous distributed algorithms. The proposed approach provides a general framework that encompasses all previous works, mostly concerned with the particular case of SISO Gaussian frequency-selective interference channel.
ISBN:9781424414833
1424414830
ISSN:1520-6149
DOI:10.1109/ICASSP.2008.4518875