Abstract
In this paper, we present a four-dimensional (4-D) electron density model. The vertical distribution of the electron density is described by a F2-layer Chapman function combined with a plasmasphere layer function. The F2-layer peak density NmF2 and the peak height hmF2 are spatially and temporally modeled as 3-D series expansions in terms of localized B-spline functions depending on geographical longitude, latitude and time. The corresponding unknown series coefficients are estimated by a linearized model through an appropriate parameter estimation procedure. The input data are ground-based GPS data combined with electron density profiles retrieved from ionospheric GPS radio occultation measurements onboard the FORMOSAT-3/COSMIC, GRACE and CHAMP satellites, in order to compensate the insensitivity of the ground-based GPS data to the height parameter hmF2 as well as benefit from their different spatiotemporal resolutions. We verify our approach by measurements exemplarily over South and Central America for a selected time span during a solar minimum day 2008-07-01. Based on the B-spline method, we demonstrate an effective data compression by applying a multi-scale representation for the estimated coefficients derived from wavelet analysis.
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Acknowledgements
This work is part of the project “MuSIK” funded by the German Research Foundation DFG. The authors would like to thank DFG for making this work possible and Laura Sánchez (DGFI/IGS RNAAC SIR), M. Mainul Hoque (DLR Neustrelitz) and Lung-Chih Tsai (CSRSR, NCU) for kindly providing the input data.
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Liang, W., Limberger, M., Schmidt, M., Dettmering, D., Hugentobler, U. (2015). Combination of Ground- and Space-Based GPS Data for the Determination of a Multi-scale Regional 4-D Ionosphere Model. In: Rizos, C., Willis, P. (eds) IAG 150 Years. International Association of Geodesy Symposia, vol 143. Springer, Cham. https://doi.org/10.1007/1345_2015_25
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DOI: https://doi.org/10.1007/1345_2015_25
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