电力北斗星地基融合增强定位坐标框架转换研究

Coordinate frame transformation for the power BeiDou satellite-ground integrated augmentation positioning service

  • 摘要: 电力北斗星地基融合增强实时动态精密单点定位(precise point positioning real-time kinematic,PPP-RTK)服务平台播发的产品基于观测历元的最新一代国际地球参考框架(International Terrestrial Reference Frame 2020,ITRF2020)生成,终端侧需将其转换至我国的2000 国家大地坐标系(China Geodetic Coordinate System 2000, CGCS2000). 为实现高精度坐标转换,围绕历元归算中的速度场插值,以及历元归算与框架转换的处理顺序和转换算法开展了研究. 首先,为选出最优的速度场插值方法及算法,对线性插值与反距离加权差值(inverse distance weighted, IDW)进行了精度与鲁棒性评估,并分析了不同IDW插值策略(固定邻居数量与固定搜索半径)对插值精度与鲁棒性的影响,给出了推荐算法方案. 其次,针对框架转换与历元转换先后顺序的工程争议,从理论上分析了两种路径在速度满足一定条件下的数学等价性,并说明实际偏差主要由速度数据来源不一致引起,而非处理顺序本身造成. 最后,通过仿真计算,证明了提出的坐标框架转换方法及算法的有效性.

     

    Abstract: The products broadcast by the power BeiDou space-ground integrated PPP-RTK augmentation service platform are generated in the latest International Terrestrial Reference Frame (ITRF2020) at the observation epoch, and must be transformed into China’s 2000 National Geodetic Coordinate System (CGCS2000) at the user terminal. To achieve high-precision coordinate transformation, this paper investigates velocity-field interpolation in epoch transformation, as well as the processing order and algorithms used for epoch reduction and frame transformation. First, to determine the optimal velocity-field interpolation algorithm, the accuracy and robustness of linear interpolation and inverse distance weighting (IDW) interpolation are evaluated. The effects of two IDW strategies, fixed neighbor count and fixed search radius, on interpolation accuracy and robustness are analyzed, and a recommended algorithm is provided. Second, to address the engineering controversy concerning whether frame transformation or epoch transformation should be performed first, theoretical analysis is provided to show that the two processing paths are mathematically equivalent when the velocity satisfies certain conditions. It is further shown that the practical deviations are mainly caused by inconsistencies in the velocity-field data sources, rather than by the processing order. Furthermore, simulation experiments verify the effectiveness of the proposed coordinate frame transformation algorithm.

     

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