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Two computationally efficient approaches are proposed for aeroacoustic source power estimation, under the assumption of a single dominant source contaminated by uncorrelated noise. The proposed methods are evaluated using both simulated and measured data. The numerical examples show that the proposed algorithms yield good power estimates even under low signal-to-noise ratio (SNR) conditions, and the experimental results show that the power estimates obtained via the proposed approaches are consistent with each other. Furthermore, the approaches are computationally much more efficient than the existing nonlinear least-squares (NLS) algorithm.