Abstract. Measurement error arising from vibration interference is recognized as the primary obstacle limiting the accuracy and stability of laser interference absolute gravimeters. The present work addresses this issue by proposing a global search optimization algorithm that determines the optimal absolute value of gravity based on the measured time-displacement coordinates of a falling body and the signal obtained from the passive vibration isolation system of the inertial reference corner-cube in a laser interference absolute gravimeter. Results of numerical calculations conducted under vibration interference conditions with added white noise resulting in a signal-to-noise ratio of 40 dB demonstrate the following. (1) The accuracy and standard deviation of the gravimeter obtained using the proposed algorithm are −0.04 μGal (1 μGal = 1 × 10⁻⁸ m/s²) and 0.24 μGal, respectively, while those values obtained by the standard least-squares solution are 10.19 μGal and 154.11 μGal, respectively. (2) The resolution of the test results shows that the average response of the reference value of acceleration due to gravity superimposed by a disturbance of 1.00 μGal is 1.01 μGal using the proposed algorithm and 0.87 μGal using the standard least-squares solution.

中文翻译：

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激光干涉绝对重力仪研制中的振动误差补偿算法

摘要。由振动干扰引起的测量误差被认为是限制激光干扰绝对重力仪的准确性和稳定性的主要障碍。本工作通过提出一种全局搜索优化算法来解决这个问题，该算法基于测得的下落物体的时间位移坐标和从惯性参考角形立方体的被动隔振系统获得的信号来确定重力的最佳绝对值在激光干涉绝对重力仪中。在振动干扰条件下进行的数值计算结果表明，在增加白噪声的情况下，信噪比为40 dB。（1）使用所提出的算法获得的重力计的精度和标准偏差为-0.04μGal（1μGal= 1×10^-8  m / s ²）和0.24μGal，而通过标准最小二乘解获得的值分别为10.19μGal和154.11μGal。（2）测试结果的分辨率表明，使用所提出的算法，重力引起的加速度参考值叠加有1.00μGal干扰的平均响应为1.01μGal，而使用标准最小二乘解则为0.87μGal。