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标志点定向系统几何精度因子的计算方法
Geometric Dilution of Precision Estimation for Landmark-Based Orientation Method
【摘要】 为了满足在准备发射导弹时估计精度以及在建立发射阵地时优化标志点布局的需求,借鉴卫星导航定位系统的几何精度因子(GDOP)的定义,提出了适用发射车的标志点定向系统的GDOP的计算方法。根据多变量函数协方差合成公式,建立了定向误差的数学模型,以此为基础结合车体基本水平的特点,设计了该系统定向误差GDOP简化公式。计算结果显示GDOP值在以标志点为顶点的三角形附近区域的分布特点为:三角形内部的值比外部小;正三角形比其他形状的三角形能在更大范围内取得较小的值。数值仿真和外场实验证明了该方法的正确性。
【Abstract】 In order to meet the requirements for the user to estimate the accuracy of orientation and to optimize the layout of landmarks, the GDOP( geometric dilution of precision) formulas for landmark-based orientation method is proposed by referencing to the definition of GDOP of GPS. Based on the formula for the propagation of error, the mathematical model of orientation errors was established. For leveling body, the simplified GDOP formulas were obtained. The distribution characteristics of the GDOP near the triangle formed by the landmarks are that their values are smaller inside the triangle than that on the outside, and the equilateral triangle achieves larger area with small values than other triangles. Simulation and experiment results verify the proposed GDOP formulas.
【Key words】 orientation; landmark; missile vehicle; geometric dilution of precision(GDOP); covariance;
- 【文献出处】 测控技术 ,Measurement & Control Technology , 编辑部邮箱 ,2018年12期
- 【分类号】TJ768
- 【被引频次】2
- 【下载频次】97