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This paper presents a differential GPS carrier phase technique for 3D outdoor position tracking in mobile augmented reality (AR) applications. It has good positioning accuracy, low drift and jitter, and low computation requirement. It eliminates the resolution of integer ambiguities. The position from an initial point is tracked by accumulating the displacement in each time step, which is determined using Differential Single Difference. Preliminary results using low cost GPS receivers show that the position error is 10 cm, and the drift is 0.001 ms-1, which can be compensated using linear models. Stable and accurate augmentations in outdoor scenes are demonstrated.