Highlights VTEC is modeled using two different algorithms based on spherical slepian functions. 2D modeling depending on geomagnetic latitude and Sun-fixed longitude. 3D modeling defined as tensor product of the slepian and B-spline functions. Better localization of the ionosphere temporal variation in 3D modeling.
Abstract The precise ionosphere modeling is crucial and remains a challenge for GPS positioning and navigation, as well as many other Earth observation systems. In this research, two approaches have been proposed to model the vertical total electron content (VTEC) of the ionosphere using spherical slepian function. For the two-dimensional case, VTEC has been modeled in a sun-fixed reference frame and the three-dimensional approach based on the system of the three-dimensional base functions has been defined as the tensor product of the spherical slepian function for the longitude and latitude in an Earth-fixed reference frame, and the polynomial B-spline function for time. Rather than the spherical harmonics, the spherical slepian functions can be employed to produce the locally and globally orthogonal bases to optimally represent the data in any arbitrary region up to a given degree. The spherical slepian functions have been applied to the real data obtained from the ground-based GPS observation across the western part of the USA.
The spatio-spectral localization approach to modeling VTEC over the western part of the USA using GPS observations
Advances in Space Research ; 54 , 6 ; 908-916
2014-05-10
9 pages
Article (Journal)
Electronic Resource
English
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