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Multipath mitigation in GNSS precise point positioning based on trend-surface analysis and multipath hemispherical map

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Abstract

The multipath effect reduces the accuracy of pseudorange and carrier phase observations and significantly affects the convergence of precise point positioning (PPP) in an urban high-obstruction environment. The multipath hemispherical map (MHM) is based on the spatial repeatability of the multipath and is used to mitigate the multipath effect. This method is widely used because it is suitable for real-time dynamic and static situations with multipath invariance. Although the MHM algorithm is simple and easy to implement, it ignores the spatial distribution of multipath inside the sky grid. It is not suitable for use in high-frequency multipath corrections. By fitting the multipath trend inside the sky grid, the MHM based on a trend-surface analysis (T-MHM) alleviates the high-frequency and low-frequency multipath simultaneously, improving the accuracy of the baseline solution in the differential mode. We mainly demonstrate the application of T-MHM in PPP, analyze the unmodeled errors, evaluate the multipath correction effect of T-MHM, discuss the optimal modeling days, and test its sensitivity in the scale of the sky grid. Compared to MHM, the experimental results show that using T-MHM in multipath correction improves the positioning accuracy in the horizontal and vertical directions by 21.6 and 13.6%, respectively, and shortens the convergence time by 24.2 and 7.2%, respectively. The T-MHM method is not sensitive to the grid scale of the sky, thus resulting in high efficiency.

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Data Availability

The data used in this manuscript are available from the corresponding author upon request.

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Acknowledgements

This work was sponsored by the National Natural Science Foundation of China (No. 41771475), Social Development Project of Science and Technology Innovation Action Plan of Shanghai (No. 20dz1207107), the Fund of Director of Key Laboratory of Geographic Information Science (Ministry of Education), East China Normal University (Grant No. KLGIS2020C05), and the Fundamental Research Funds for the Central Universities.

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Authors and Affiliations

  1. Key Laboratory of Geographic Information Science, East China Normal University, No. 500 Dongchuan Road, Shanghai, 200241, China

    Ran Lu, Wen Chen, Danan Dong, Chenglong Zhang & Yu Peng

  2. Engineering Center of SHMEC for Space Information and GNSS, East China Normal University, No. 500 Dongchuan Road, Shanghai, 200241, China

    Ran Lu, Wen Chen, Danan Dong, Zhiren Wang, Yu Peng & Chao Yu

  3. Shanghai Key Laboratory of Multidimensional Information Processing, East China Normal University, No. 500 Dongchuan Road, Shanghai, 200241, China

    Wen Chen & Danan Dong

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  1. Ran Lu
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Correspondence to Wen Chen.

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Lu, R., Chen, W., Dong, D. et al. Multipath mitigation in GNSS precise point positioning based on trend-surface analysis and multipath hemispherical map. GPS Solut 25, 119 (2021). https://doi.org/10.1007/s10291-021-01156-5

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