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Improving Global VTEC inversion with Inequality Constraint Least Square

【摘要】:Currently,ground‐based GNSS stations of the International GNSS Service (IGS) are distributed unevenly around the world.Most of them locate on the mainland,while only a small part of them are scattered on some islands in the oceans.As a consequence,grid vertical total electron content (VTEC) of ESA and CODE's IONEX products appear many unreasonable zero values (in fact negative values),especially for the years of 2008 and 2009 when the solar activity was rather quiet.To improve this situation,this paper proposes an inequality‐constrained least squares method for the solution of Global Ionospheric Mapping (GIM) with spherical harmonic functions by imposing non‐negative inequality constraints in the areas where negative VTEC values may occur.We then apply the new method to 2008 IGS data.The results have shown that the new algorithm efficiently eliminates the unwanted behavior of negative VTEC values that can often be seen on both middle and high latitude area of south hemisphere (S90~S45) and north hemisphere (N5°~N9°) under current IGS network.The repeatability of most GPS receivers' DCBs have been improved too.Finally,GIM products from this paper,CODE,JPL and ESA are compared with IGS final products.It is found that inequality constraint improve the consistency of our GIM with them both at RMS and mean VTEC.

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