Near-optimal power control in wireless networks: A potential game approach

UO Candogan, I Menache, A Ozdaglar… - 2010 Proceedings …, 2010 - ieeexplore.ieee.org
2010 Proceedings IEEE INFOCOM, 2010ieeexplore.ieee.org
We study power control in a multi-cell CDMA wireless system whereby self-interested users
share a common spectrum and interfere with each other. Our objective is to design a power
control scheme that achieves a (near) optimal power allocation with respect to any
predetermined network objective (such as the maximization of sum-rate, or some fairness
criterion). To obtain this, we introduce the potential-game approach that relies on
approximating the underlying noncooperative game with a" close" potential game, for which …
We study power control in a multi-cell CDMA wireless system whereby self-interested users share a common spectrum and interfere with each other. Our objective is to design a power control scheme that achieves a (near) optimal power allocation with respect to any predetermined network objective (such as the maximization of sum-rate, or some fairness criterion). To obtain this, we introduce the potential-game approach that relies on approximating the underlying noncooperative game with a "close" potential game, for which prices that induce an optimal power allocation can be derived. We use the proximity of the original game with the approximate game to establish through Lyapunov-based analysis that natural user-update schemes (applied to the original game) converge within a neighborhood of the desired operating point, thereby inducing near-optimal performance in a dynamical sense. Additionally, we demonstrate through simulations that the actual performance can in practice be very close to optimal, even when the approximation is inaccurate. As a concrete example, we focus on the sum-rate objective, and evaluate our approach both theoretically and empirically.
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