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Doppler centroid is a key focusing parameter of Doppler beam sharpening (DBS) imaging. According to the locked relationship between Doppler centroid error and image entropy, a minimum-entropy Doppler estimator (MEDE) is proposed. The algorithm breaks the conventional algorithms' assumption that the shape of echo signal's power spectrum is symmetrical, and the proposed method can circumvent the problem of low estimation precision using conventional algorithms to process the echo signal from high-scene contrast. The new algorithm based on entropy minimization has high estimation precision in the case of low- and high-scene contrast. MEDE has been successfully applied to a DBS real-time imaging processor of airborne radar and verified by flight experiments.