论文标题
使用卡尔曼滤波器的静态原子重量表的演示
Demonstration of static atomic gravimetry using Kalman filter
论文作者
论文摘要
静态原子重量法的测量精度在短期内受到白色高斯噪声的限制，这使以前的工作使得不可避免的整合以达到所需的精度。在这里，我们提出了一个基于量子投影噪声的统计模型，并将Kalman滤波器应用于静态原子重量表中的波形估计。由于卡尔曼过滤器形式主义可显着消除白色高斯噪声，因此在短期内重塑了重量法的测量噪声，并显示$τ^{1/2} $特征，与随机步行相对应。在重力静态测量的200小时内，使用Kalman滤波器的原子重量表表现出的灵敏度高达0.6 $ \ rm {nm/s^2}/\ sqrt {\ rm {s}} $，并凸显了1.7 $ \ rm \ rm {nm/s^2} $的精确度。达到的测量噪声也低于低于$ \ sim $ 30 s的量子投影极限。
The measurement precision of the static atomic gravimetry is limited by white Gaussian noise in short term, which costs previous works an inevitable integration to reach the precision demanded. Here, we propose a statistical model based on the quantum projection noise and apply the Kalman filter to the waveform estimation in static atomic gravimetry. With the white Gaussian noise significantly removed by the the Kalman-filter formalism, the measurement noise of the gravimetry is reshaped in short term and shows $τ^{1/2}$ feature that corresponds to random walk. During 200 hours of static measurement of gravity, the atomic gravimeter using Kalman filter demonstrates a sensitivity as good as 0.6 $\rm{nm/s^2}/\sqrt{\rm{s}}$, and highlights a precision of 1.7 $\rm{nm/s^2}$ at the measuring time of a single sample. The measurement noise achieved is also lower than the quantum projection limit below $\sim$ 30 s.
