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Power control is a widely used technique in improving the throughput and the quality of services in wireless communications. In this paper, a power control method based on a utility maximization method is applied to Ad-hoc networks built on Wi-Fi radios. First, a fully distributed power control algorithm is developed considering the different characteristics of discrete multi-rate Wi-Fi radios, and then a novel joint power control and scheduling algorithm is proposed to maximize the network throughput without sacrificing fairness. The proposed algorithm has a linear complexity degree while other utility based sub-optimal algorithms have exponential complexity.
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