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SIMD (Single Instruction Multiple Data) instructions have been widely used for digital signal processing and multimedia applications, especially video codec. This paper proposes the quarter-pel interpolation acceleration method of the HEVC (High Efficiency Video Coding), which is implemented with ARM SIMD instructions. Data level parallelism is utilized to use the SIMD capability of NEON effectively. Experiment results show that the implementation of the proposed method is approximately five times faster than that of the HEVC reference software for the HEVC quarter-pel interpolation operation.