基于Hilbert变换处理绝对重力仪测量数据

基于Hilbert变换相位平移原理，提取干涉条纹信号采样点瞬时相位，得到采样点位移信息。结合采样频率提取时间信息，利用最小二乘法重建自由落体轨迹，最终解算出重力加速度g值。为提高测量精度，使用零相移低通滤波器去除信号高频噪声，使用多项式拟合法去除信号线性干扰，通过加窗口选取拟合数据抑制吉伯斯现象。仿真结果表明，该方法能使g值误差在10-2 μGal以下，实验结果所得g值平均误差为0.12 μGal。

Absolute Gravimeter Measurement Data Processing Based on Hilbert-Transform

The instantaneous phase of interference fringe signal sampling point is extracted based on the phase shift principle of Hilbert-transfer, the displacement data is extracted from the phase, and time data is extracted from the sample frequency. We rebuild the free-falling trajectory by means of the least square method, so that the value of g can be calculated. Zero phase-shift low-pass filter is used to remove high frequency noise signal, the polynomial fitting method is used to remove linear interference signal, and data is windowed before fitting to inhibit the Gibbs-phenomenon. The simulation results show that this method can make the g value error under 10-2 μGal. The experimental results obtained mean error of the g value is 0.12 μGal.