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This paper proposes an analytical power consumption model for H.264/AVC video decoding using hardware (HW) accelerator on popular mobile platforms. Our proposed model is expressed as the product of the power functions of video spatial resolution (i.e., frame size) and temporal resolution (i.e., frame rate). We have demonstrated that the same analytical model is applicable to different platforms. Model parameters are fixed for a specific platform. This indicates that HW accelerated video decoding is independent of the video content. Simulation results show the high accuracy for video decoding power prediction using proposed model, with the maximum relative prediction error less than 10%. Together with the video bit rate and perceptual quality models published in separated works, we propose to solve the power-rate optimized mobile video streaming problem, so as to maximum the video quality given the limited access network bandwidth and battery life for mobile devices.