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Wireless sensor networks (WSNs) have attracted a lot of research attention. WSNs contain a large number of nodes that are capable of sensing, processing and transmitting environmental information. In this paper, object detection has been studied. For WSNs are composed of power-restrained nodes, so energy-efficiency is a key concern in WSNs. Balancing object detection performance and network lifetime is a challenging in sensor networks. Base on the theoretical analysis, we propose a novel energy-aware wake up schedule that significantly prolongs the life of WSNs and maintain the detection performance. Simulation results confirm with the theoretical analysis and demonstrate the advantage of EAS over previous proposed methods.