基于Adam梯度下降的GNSS载波多路径建模方法研究

GNSS Carrier Phase Multipath Modeling Based on Adam Gradient Descent Algorithm

  • 摘要: 基于空间域网格多路径建模方法可显著消除多路径误差对GNSS精密定位的影响,但在求解网格参数时往往存在约束条件与其先验方差不相符的问题,且测站环境越复杂其网格分辨率要求越高,随之带来的求解参数数量呈指数增加,解算效率将显著下降。针对静态测站多路径的空间分布特性,提出了一种基于改进Adam梯度下降的GNSS网格多路径建模方法,无需对网格参数进行先验约束,可大幅缩短高空间分辨率模型的计算时间,提升建模效率。复杂环境多路径实验结果表明,将空间格网分辨率从2°提升到0.05° ,解算参数陡增1556倍,但其计算耗时仅增加了0.27倍;多路径拟合精度从73.93%提升至82.89%;平面和高程定位精度分别从71.6%提高到80.9%、72.4%提高到82%。GPS L1和BDS B1C互操作信号多路径实验结果表明,同频率信号多路径在空间分布上具有一致性特征,对复杂环境下利用互操作信号联合进行多路径高精度建模具有参考意义。

     

    Abstract: Objectives: The paper aims to address two issues in the construction of a carrier phase multipath grid model. First, it focuses on resolving the problem of mismatch between constraint conditions and their prior variances during the process of solving grid parameters. Second, it tackles the escalating demand for higher grid resolution as the complexity of the site environment increases. This escalating demand leads to an exponential growth in the number of solving parameters, resulting in a significant decrease in solving efficiency.Methods: A GNSS grid multipath modeling method based on improved Adam gradient descent is proposed to address the spatial distribution characteristics of static station multipath. This method does not require prior constraints on grid parameters, and can significantly shorten the calculation time of high spatial resolution models and improve modeling efficiency.Results:The results of multipath experiments in complex environments indicate that by increasing the spatial grid resolution from 2 ° to 0.05 °, the calculation parameters increased sharply by 1556 times, but the calculation time only increased by 0.27 times. The multipath fitting accuracy improves from 73.93% to 82.89%, and the horizontal and vertical positioning accuracy increases from 71.6% to 80.9% and from 72.4% to 82%, The experimental results of GPS L1 and BDS B1C interoperability signal multipath show that the same frequency signal multipath has consistent spatial distribution characteristics, and can be applied to joint multipath modeling of interoperability signals.Conclusions: This method can significantly improve the efficiency of high-resolution grid based multipath modeling and can be effectively used for high-precision carrier phase multipath modeling in complex observation environments.

     

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