单频载波相位移动开窗平滑伪距算法及精度分析

Single Frequency Carrier Smoothing Pseudorange Algorithm and Accuracy Analysis Based on Moving Window

  • 摘要: 传统的单频载波相位平滑伪距算法因受到电离层延迟变化的影响,容易出现平滑结果发散的问题。提出采用移动开窗法减弱未模型化的电离层延迟影响,并建立了数学模型。通过公式推导发现:移动开窗法可以消除电离层延迟趋势项的影响。在静态定位实验中,所提出的算法在E、N、U三方向精度分别达到9.5 cm、18.0 cm和13.7 cm,比原始伪距定位结果分别提高了2.4、1.5和3.6倍。结果表明,所提出的算法可以显著减弱电离层影响,大幅提高伪距定位精度,且同时适用于静态和动态定位,其最优结果精度与加权Hatch滤波相当,但是窗口选择性更广,结果更为平滑。在各种应用场景下,推荐统一的平滑窗口为7 min。

     

    Abstract: The traditional single‐frequency carrier phase smoothing pseudorange algorithm is prone to divergence of smoothing results due to the influence of ionospheric delay variation. In this paper, a moving window method is proposed to reduce the influence of unmodeled ionospheric delay, and a mathematical model is established. Formula deduction shows that moving window method can eliminate the influence of ionospheric delay trend term. In the static positioning experiment, the accuracy of this algorithm in three directions of north, east and up is 9.5 cm, 18.0 cm and 13.7 cm, which is 2.4, 1.5 and 3.6 times higher than the original pseudorange positioning results. The results show that the proposed algorithm can significantly reduce the ionospheric influence and greatly improve the positioning accuracy. It is also suitable for both static and dynamic positioning. Its optimal result accuracy is comparable to that of weighted Hatch filtering, but the window selectivity is wider and the result is smoother. On various application scenarios, the uniform smoothing window is recommended for 7 minutes.

     

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