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Turning off Radio Frequency (RF) transceiver is an efficient method for prolonging a battery life-time of a mobile station in wireless networks, but it has a trade-off relationship with real-time traffic delay like Voice over Internet Protocol (VoIP). This paper presents a power-efficient delay reduction technique based on adaptive sleep threshold adjustment in SmartPhone equipped with WLAN-based Fixed-Mobile Convergence (FMC) service. The basic idea is that the sleep threshold that establishes how long a Radio Frequency (RF) transceiver of a terminal stays in a low power state is determined adaptively and adjusted according to network traffic in service. In order to illustrate the aims of the proposed approach, the terminal systems are implemented and evaluated by measuring average Mouth-To-Ear (M2E) delay and power consumption. The experimental results show that the proposed approach can minimize power consumption while guaranteeing the delay constraint during call signaling and talk time.