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Targets with uniform rotational motion may cause migration through cross-range cells during the imaging time, which makes the inverse synthetic aperture radar image smeared. Traditional motion compensation methods hardly work well because it is difficult to estimate the quadratic phase error (QPE) caused by uniform rotational motion efficiently. To solve this problem, a novel QPE estimation method based on phase cancellation (PC) is proposed in this letter. In this method, PC is used to eliminate the linear term of the phase, which is a disadvantage to the QPE estimation. By employing the weighted linear least squares algorithm, the QPE can be estimated efficiently and robustly. Experiments with both simulated and measured radar data demonstrate the performance of the proposed method.