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While physical layer capture has been observed in real implementations of wireless devices which randomly accessing shared channels, fair rate control algorithms based on accurate channel models describing the phenomenon have not been developed. In this paper, using the general physical channel model, the paper formally presents the characteristics of the feasible domain of a general fairness problem and utility fairness under physical layer capture. The paper shows that the allocation domain is not convex and the previous optimization schemes cannot be applied. It further shows the objective function for utility fairness is concave on the domain of channel access attempt probability.

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Format:PDFSize:206 KB
Date:Mar 2007
Pages:10

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