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This paper first presents a geometric analysis of the convergence condition for the Foschini-Miljanic power control algorithm. Then, based on the analysis, the Dynamic Distributed Power Control MAC (D2PC-MAC) scheme is proposed for wireless networks. D2PC-MAC achieves high spatial reuse, since power control enables nesting of concurrent links, thereby achieving a high density of successful links. The MAC scheme starts by trying to accommodate all links and then eliminating transmitters causing too much interference in two stages, a local stage and a global stage.
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