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Power efficiency is one of the most important aspects in mobile networks. Much research has been done in saving power for mobile devices. The IEEE 802.11 standard adopts a MAC layer sleep-wake power-saving scheme, and in the ad hoc mode of IEEE 802.11, a fully connected network is used. Taking advantage of the above mechanisms, we propose in this paper an enhanced power-saving algorithm that incorporates a contention-free scheduling function for data transmission within the beacon interval. We show by simulations that this enhanced algorithm results in better efficiency on both system throughput and energy preservation.