提出一种基于椭球拟合的在组件级测量加速度计偏置及敏感度的方法,建立了加速度计的数学模型,证明了位于不同姿态时其三轴输出轨迹符合椭球分布。该方法通过将多个姿态测试的加速度计的输出拟合到椭球曲面,然后计算该椭球参数,并将其转换为加速度计相应的偏置与敏感度。仿真实验结果表明在俯仰角和横滚角小于30°及信噪比为60dB的情况下,所提出的方法标定后的偏置与敏感度最大误差小于0.5%。
An ellipsoid based calibration method is presented to calibrate the bias and sensitivity of accelerometers. The mathematicat;model of accelerometer is established and it is proved that the locus of the outputs of aeeelerometer triad are on an ellipsoid surface when they are in various attitudes, During the calibration procedure a set of measurements of aceelerometer triad are firstly recorded and those measurements are used to fit an ellipsoid, which is then used to calculate the bias and sensitivity of accelerometers. Simulation results show that the calibration error of the proposed method is less than 0.5 % when the pitch and roll are within the range of 30° and the signal to noise ratio is 60 dB.