Game-Theoretic Power Control in Impulse Radio UWB Wireless Networks

TL;DR

This paper models power control in impulse-radio UWB networks using game theory, analyzing noncooperative and cooperative solutions to optimize energy efficiency amid multipath interference.

Contribution

It introduces a game-theoretic framework for power control in UWB systems, deriving Nash equilibrium and comparing it with Pareto-optimal solutions.

Findings

Noncooperative solutions vary with channel realization.

Explicit utility expressions are derived for large systems.

Cooperative solutions can outperform noncooperative ones.

Abstract

In this paper, a game-theoretic model for studying power control for wireless data networks in frequency-selective multipath environments is analyzed. The uplink of an impulse-radio ultrawideband system is considered. The effects of self-interference and multiple-access interference on the performance of Rake receivers are investigated for synchronous systems. Focusing on energy efficiency, a noncooperative game is proposed in which users in the network are allowed to choose their transmit powers to maximize their own utilities, and the Nash equilibrium for the proposed game is derived. It is shown that, due to the frequency selective multipath, the noncooperative solution is achieved at different signal-to-interference-plus-noise ratios, respectively of the channel realization. A large-system analysis is performed to derive explicit expressions for the achieved utilities. The Pareto-optimal (cooperative) solution is also discussed and compared with the noncooperative approach.