经纬仪坐标变换中的偏差分析

Bias in Coordinate Transformation of Theodolite

测量数据的非线性坐标变换会引入偏差,如果不纠正这种偏差,会影响变换参数估计的统计精度。本分分析了这种偏差对目标跟踪的影响,预算了经纬仪球面坐标系下的测量值即方位角、俯仰角、距离,变换到直角坐标系下的(X,Y,Z)所引入的偏差量。并用Matlab仿真了测量值统计分布对于变换值系统误差大小的影响.

Transformations of data from one coordinate system to another can introduce bias errors,These biases, unless corrected, can affect the statistical fidelity of parameter estimate.This paper estimates the effect of such biases on three-dimensional tracking of targets ,and computes the transformation deviations from sensor measurement coordinates（range, elevation angle, azimuth） to Cartesian x- y-z coordinates, emulates the effect of measurement statistic distribution on system biases of transformation.