激光多普勒自主测速仪天线安装误差对测速精度的影响

为了减小激光多普勒自主测速仪天线安装误差引起的测速误差,以多普勒频移原理为基础,通过旋转矩阵的复合变换推导出测速误差与安装误差间的函数关系,分析了三个安装误差角对三维测速精度的影响,并对旋转矩阵采用Bursa模型线性化后在整体最小二乘准则下给出安装误差角的最优估计,从而实现测速误差的补偿。仿真结果表明:测速误差随速度的增大而增大,影响纵向、横向测速精度的主要因素是偏航角,影响垂向测速精度的主要因素是纵倾角,补偿后三维测速误差显著减小。

Influence of laser Doppler autonomous velocimeter’s antenna installation error on velocity accuracy

In order to reduce the influence of laser Doppler autonomous velocimeters antenna installation error on velocity measurement accuracy, based on Doppler frequency shift principle, the relationship between installation error and velocity error is derived by the rotation matrix transformation. Influences of the three installation error angles on three-dimensional velocity measurement accuracy are analyzed respectively. After the rotation matrix is linearized by the Bursa model, optimal estimation of installation error angles are proposed by the total least-squares criterion, thus the velocity error compensation could be realized. The simulations show that velocity measurement error increases in proportional with the increment of the speed, the main factor influencing the longitudinal and lateral velocity precision is yaw angle, and the factor of vertical velocity precision is pitch angle, three-dimensional velocity error is significantly reduced after compensation.