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Regional Assimilation of GPS-Derived TEC into GIMs

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Abstract

Global ionosphere models may not be accurate enough in regions where there are insufficient observations. Therefore, there is strong interest in regional ionosphere modeling using observations from dual-frequency Global Navigation Satellite System (GNSS) receivers in such regions. This paper presents a data assimilation method for hourly total electron content (TEC) modeling along with estimation of the receivers’ differential code biases (DCBs). For this purpose, first, initial values for slant TEC (STEC) and the receivers’ DCBs are estimated utilizing global ionosphere maps (GIMs). Second, STEC is expanded to a linear combination of spherical radial basis functions with time-dependent coefficients to reduce the number of unknowns, and a constrained least-squares adjustment is applied to resolve the corrected STEC and DCB values in the study area using observations from dual-frequency GNSS receivers. Third, the resolved STEC at ionospheric pierce points (IPPs) are converted to vertical TEC (VTEC) using a mapping function and assimilated into the background provided by spatial and temporal interpolation of GIM. Retrieved VTECs are weighted according to the satellites’ elevation angles, and an objective function is defined to determine the background’s covariance matrix. In this study, the Iranian permanent Global Positioning System (GPS) network is used to construct the regional hourly VTEC model and calculate hourly DCB variations. The proposed method is validated in two ways. First, some of the VTEC values are excluded from the dataset for use as test data and compared with modeling results. The root mean square (RMS) of the constructed regional assimilative model on test data is significantly better than GIM. Second, the RINEX file of Tehran station, whose observations did not play a role in modeling, is corrected using the regional model. The single-frequency positioning results with corrected observations show much better accuracy than GIMs.

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Data Availability Statement

All data generated during this study are included in this article. Satellites’ DCBs, GIMs in IONEX format, precise orbits, Earth rotation parameters, and satellites’ clock corrections are all published by CODE and publicly available from: http://ftp.aiub.unibe.ch/CODE/.

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Acknowledgements

The authors acknowledge the NCC (National Cartographic Center of Iran) for providing Iranian Permanent GPS Network (IPGN) data and the Center for Orbit Determination in Europe (CODE) for providing GIMs and satellites’ DCBs.

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  1. Faculty of Geodesy and Geomatics Engineering, K. N. Toosi University of Technology, Tehran, Iran

    Hany Mahbuby & Yazdan Amerian

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  1. Hany Mahbuby
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  2. Yazdan Amerian
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Research design: Yazdan Amerian and Hany Mahbuby; Analysis: Hany Mahbuby; Writing original draft preparation: Hany Mahbuby; Writing review and editing: Yazdan Amerian; Supervision: Yazdan Amerian.

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Correspondence to Yazdan Amerian.

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Mahbuby, H., Amerian, Y. Regional Assimilation of GPS-Derived TEC into GIMs. Pure Appl. Geophys. 178, 1317–1337 (2021). https://doi.org/10.1007/s00024-021-02681-7

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