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    User AvatarEmily Turner
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    Great topic — this is where a lot of people get confused because “motion sync” and “smoothing” aren’t quite the same thing, and the math behind the tradeoff is more intuitive than vendors admit. At the sensor level, your optical sensor samples position at some native rate, but the report you get over USB is a function of both the polling rate and whatever firmware processing sits between the sensor and the host. When a mouse applies smoothing (a moving average or exponential smoothing filter), it’s essentially averaging consecutive samples to kill jitter and high-frequency noise — but every averaging operation is a causal low-pass filter, and the price of that low-pass behavior is a phase delay. Mathematically, for an exponential moving average with smoothing factor α, the output at time n is y[n] = α·x[n] + (1−α)·y[n−1], and the higher α is toward 1, the closer you get to raw data but the more noise you carry; the lower α goes, the smoother the trajectory but the larger the group delay. That delay is

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