用于导航定位坐标系转换的引申迭代算法研究

Research of Extended Iterative Algorithm for Navigational Positioning Coordinate System Conversion

GPS导航软件中的坐标轴转换算法的精度对定位结果的精度有重要影响;卫星导航信号处理软件RTKLIB的直角坐标转换至大地坐标算法采用了一般迭代法作为内置算法;为了提升RTKLIB的直角坐标转换至大地坐标算法的性能,作者基于牛顿迭代算法的思路,在Bowring直接解法基础上提出一种引申迭代算法来取代原内置算法;该迭代算法克服了bowring直接解法不可避免带来的低精度的缺点,且在精度上具有很大优势,在高度坐标h上的表现尤其明显;经过理论分析和测试实验数据对比,证实了引申迭代坐标转换算法相对于RTKLIB现有的一般迭代坐标转换算法,具有迭代次数更少、精度更高的特点。

The precision of Coordinate transformation algorithm in GPS navigation software have important effect on the accuracy of the result. RTKLIB, a satellite navigation signal processing software, use the general iterative algorithm as the built-in algorithm processing the transformation from Cartesian coordinates to geodetic coordinate. transformation from the Cartesian coordinates to geodetic coordinate, To promote the performance of RTKLIB software in processing the the author proposed an algorithm based on the Newton iterative algo rithm extended out from the Bowring＇s method to replace the built-in algorithm. This iterative algorithm overcomes the shortcoming - low accuracy inevitably brought by the Bowring＇s method and has a great advantage in accuracy especially in the coordinates （h）. By theoreti cal analysis and experimental test data contrast, it has demonstrated that comparing with the general iterative coordinate transformation algo rithm existing in RTKLIB, the proposed extended iterative coordinate transformation algorithm has the characteristics of less iteration times and higher accuracy and is more suitable for the situation when the value of height coordinates （h） is large.