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Coding artifacts in video codecs can be reduced using several spatial in-loop filters that are part of the emerging video coding standard High Efficiency Video Coding (HEVC). In this paper, we introduce the concept of global motion temporal filtering. A theoretical framework for a concept combining the temporal overlapping of several noisy versions of the same signal is introduced. This includes a model of the motion estimation error. As an important result, it is shown that an optimum number of frames N for filtering exists. An implementation of the concept based on several versions of the HEVC test model using global motion-compensated temporal filtering shows that significant gains can be achieved.