空间直角坐标分量中误差转换到相邻点基线分量中误差的算法设计与实现

Design and Implementation of an Algorithm for Converting Errors from Space Cartesian Coordinate Components to Baseline Components of Adjacent Points

GNSS定位模型通常是在空间直角坐标系下建立的,测量精度以空间直角坐标分量中误差表示。依据我国现行GNSS测量规范,测量精度指标以相邻点基线分量(水平分量、垂直分量)中误差表示。为解决空间直角坐标分量中误差与现行规范测量精度指标不相容的矛盾,完成GNSS成果质量评定,本文论述了空间直角坐标系到大地坐标系,再到高斯投影平面直角坐标系的转换过程及误差传递算法。通过C#编程实现了空间直角坐标分量中误差到相邻点基线分量中误差的计算,并对点位中误差传递算法数值计算的准确度进行了验算。验算结果表明,该算法满足GNSS成果质量检验工作要求。

GNSS positioning model is usually established in the space Cartesian coordinate system,and the measurement accuracy is expressed by the error in the space Cartesian coordinate component.According to the current GNSS measurement specifications in Chi-na,the measurement accuracy index is expressed as the error in the baseline component(horizontal component and vertical compo-nent)of adjacent points.In order to solve the incompatibility between the errors in spatial Cartesian coordinate components and the measurement accuracy indexes in the current specifications,and to complete the quality evaluation of GNSS results,this paper de-scribes in detail the transformation process and error transfer algorithm from spatial Cartesian coordinate system to geodetic coordinate system and then to Gaussian projection plane Cartesian coordinate system.By C#programming,the calculation of the error from the space Cartesian coordinate component to the baseline component of the adjacent point is realized,and the accuracy of the numerical calculation of the point error transfer algorithm is checked.The results show that the algorithm meets the requirements of GNSS quality inspection.