Comparison of spherical harmonic and B spline models for the vertical total electron content

作者: Michael Schmidt , Denise Dettmering , Matthias Mößmer , Yuanyuan Wang , Jiantong Zhang

DOI: 10.1029/2010RS004609

关键词: Electron densityTotal electron contentGeodetic datumGeometryDegree (angle)MathematicsB-splineTensor productTrigonometrySpherical harmonics

摘要: [1] Most of the geodetic ionosphere models describe electron density Earth's atmosphere by global maps vertical total content (VTEC) for fixed time intervals (e.g., 2 h) assuming a single-layer model and using spherical harmonic expansion up to specific degree n. However, it is well known that are not suited representing data heterogeneous quality. As consequence, gaps cannot be handled appropriately. In this paper we present different approach modeling VTEC generally depending on space defining 3-D system base functions as tensor products trigonometric B spline longitude two sets endpoint-interpolating latitude time, respectively. We compare with similar resolution show how influence accuracy even in areas good coverage.

参考文章(13)
Denise Dettmering, Die Nutzung des GPS zur dreidimensionalen Ionosphärenmodellierung PhD Thesis, University of Stuttgart, http://elib.uni-stuttgart.de/opus/volltexte/2003/1411/. ,(2003) , 10.18419/OPUS-3674
Michael Schmidt, Wavelet modelling in support of IRI Advances in Space Research. ,vol. 39, pp. 932- 940 ,(2007) , 10.1016/J.ASR.2006.09.030
D. Bilitza, B.W. Reinisch, International Reference Ionosphere 2007: Improvements and new parameters Advances in Space Research. ,vol. 42, pp. 599- 609 ,(2008) , 10.1016/J.ASR.2007.07.048
Denise Dettmering, Michael Schmidt, Robert Heinkelmann, Manuela Seitz, Combination of different space-geodetic observations for regional ionosphere modeling Journal of Geodesy. ,vol. 85, pp. 989- 998 ,(2011) , 10.1007/S00190-010-0423-1
Tom Lyche, Larry L. Schumaker, A Multiresolution Tensor Spline Method for Fitting Functions on the Sphere SIAM Journal on Scientific Computing. ,vol. 22, pp. 724- 746 ,(2000) , 10.1137/S1064827598344388
Larry L. Schumaker, Cornelis Traas, Fitting scattered data on spherelike surfaces using tensor products of trigonometric and polynomial splines Numerische Mathematik. ,vol. 60, pp. 133- 144 ,(1991) , 10.1007/BF01385718
F. Azpilicueta, C. Brunini, S.M. Radicella, Global ionospheric maps from GPS observations using modip latitude Advances in Space Research. ,vol. 38, pp. 2324- 2331 ,(2006) , 10.1016/J.ASR.2005.07.069
Michael Schmidt, Martin Fengler, Torsten Mayer-Gürr, Annette Eicker, Jürgen Kusche, Laura Sánchez, Shin-Chan Han, Regional gravity modeling in terms of spherical base functions Journal of Geodesy. ,vol. 81, pp. 17- 38 ,(2006) , 10.1007/S00190-006-0101-5
E.J. Stollnitz, A.D. DeRose, D.H. Salesin, Wavelets for computer graphics: a primer.1 IEEE Computer Graphics and Applications. ,vol. 15, pp. 76- 84 ,(1995) , 10.1109/38.376616