Modeling and optimization of ionospheric model coefficients based on adjusted spherical harmonics function

• Published in: Acta astronautica 2021-05, Vol.182, p.286-294
• Main Author: Dabbakuti, J.R.K.Kumar
• Format: Article
• Language: English
• Subjects: Adjusted spherical harmonic function; Algorithms; Coefficients; Equatorial ionization anomaly; Equatorial regions; Global positioning systems; GPS; Harmonic functions; Ionization; Ionospheric delay; Ionospheric models; Mathematical models; Model accuracy; Modelling; Navigation satellites; Navigation systems; Optimization; Range errors; Regional-model; Satellite navigation systems; Spherical harmonics; Time lag; Total electron content
• ISSN: 0094-5765; 1879-2030
• DOI: 10.1016/j.actaastro.2021.02.024

The range error caused by ionospheric delay in Global Positioning System (GPS) signals is currently the main factor that affected the positioning accuracy and navigation determination. Ionospheric modeling and optimization of its range error is a practical approach to improve the GPS positioning accuracy. The global ionospheric models are mostly unable to predict ionospheric delay corrections over the India region due to the Equatorial Ionization Anomaly (EIA)/fountain effect and lack of equatorial/low latitude GPS stations data. This paper proposes a method to facilitates regional ionospheric delay corrections based on the Adjusted Spherical Harmonic Function (ASHF) model by considering fewer coefficients into the algorithm. The ionospheric correction is driven with low-resolution harmonics coefficients with order ≤2 (≤9 coefficients), and coefficients are estimated with the Modified Gram-Schmidt (MGS) approach. The performance of the proposed model (ASHF) is compared with the Spherical Harmonic Function and Klobuchar models. Preliminary results reveal that the low-resolution ASHF model improved the ionospheric time delay corrections by 12.98% relative to the Klobuchar model. The results could be useful in the context of ionospheric time delay modeling for regional navigation satellite systems. •Estimation of ionospheric delays is proposed based on Orthogonal Dimensionality Reduction.•Model outcomes are assessed by comparing with the Weighted Least Square estimations.•The SVD-SHF method improves the accuracy of the model results in geomagnetic storm conditions.•The SVD-SHF method resulted in dimensional reduction and low computational load.•The outcomes suggest that the model implementation is used for GNSS and surveying applications.