GPS高程转换的总体最小二乘拟合推估模型

Total Least Squares Fitting Estimation Model for GPS Height Transformation

  • 摘要: 在现有的关于GPS高程转换的总体最小二乘方法研究中,通常是将高程异常转换参数的计算与待求点高程异常的计算分两步进行处理,并且只考虑由已知高程异常点的平面坐标组成的系数矩阵的误差,忽略了高程异常待求点的坐标误差。针对以上问题,本文提出了GPS高程转换的总体最小二乘拟合推估模型,将计算高程异常转换参数和待求点高程异常联合处理,且考虑到所有点的点位误差,最后采用拟合推估法进行求解。实验结果表明,本文方法能够有效地提高高程转换的精度。

     

    Abstract: In the current research on the total least squares method in the conversion of GPS height, the calculation of the conversion parameter and elevation abnormities of the check points are generally performed in two steps, and only consider the error in the coefficient matrix used to calculate the parameters; errors in the coordinate of the check point are ignored. In view of this gap, we put forward a total least squares fitting estimation model of GPS height transformation, that combines the calculation of fitting parameters with the calculation of elevation abnormities at inspection points, and considers the position error of all points. Collocation calculation experiemental results verify the feasibility of this method. These test results show that the method can effectively improve the accuracy of elevation conversion.

     

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