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Performance Evaluation of Ionosphere Modeling Using Spherical Harmonics in the Korean Peninsula

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초록

The signal broadcast from a GPS satellite experiences code delay and carrier phase advance while passing through the ionosphere, which causes a signal error. Many ionosphere models have been studied to correct this ionospheric delay error. In this paper, the ionosphere modeling for the Korean Peninsula was carried out using a spherical harmonics based model. In contrast to the previous studies, we considered a real-time ionospheric delay correction model using fewer number of basis functions. The modeling performance was evaluated by comparing with a grid model. Total number of basis functions was set to be identical to the number of grid points in the grid model. The performance test was conducted using the GPS measurements collected from 5 reference stations during 24 hours. In the test result, the modeling residual error was smaller than that of the existing grid model. However, when the number of measurements was small and the measurements were not evenly distributed, the overall trend was found to be problematic. For improving this problem, we implemented the modeling with additional virtual measurements.

Abstract

The signal broadcast from a GPS satellite experiences code delay and carrier phase advance while passing through the ionosphere, which causes a signal error. Many ionosphere models have been studied to correct this ionospheric delay error. In this paper, the ionosphere modeling for the Korean Peninsula was carried out using a spherical harmonics based model. In contrast to the previous studies, we considered a real-time ionospheric delay correction model using fewer number of basis functions. The modeling performance was evaluated by comparing with a grid model. Total number of basis functions was set to be identical to the number of grid points in the grid model. The performance test was conducted using the GPS measurements collected from 5 reference stations during 24 hours. In the test result, the modeling residual error was smaller than that of the existing grid model. However, when the number of measurements was small and the measurements were not evenly distributed, the overall trend was found to be problematic. For improving this problem, we implemented the modeling with additional virtual measurements.

참고문헌 (5)

  1. 최병규, "Global GPS Ionospheric Modelling Using Spherical Harmonic Expansion Approach", Journal of Astronomy and Space Sciences, 27(4), pp.359~366 (2010), 한국우주과학회
  2. 한덕화, "평활화 된 의사거리 및 전리층 지연 추정을 위한 GPS 측정치 잡음 모델링", 한국항행학회논문지, 16(4), pp.602~610 (2012), 한국항행학회
  3. Kim, D. Y., "A Study on correction generation algorithms for wide area differential GNSS", Ph.D., pp.2007
  4. Moon, Y. J., "Evaluation of 2-Dimensional Ionosphere Models for National and Regional GPS Networks in Canada", M.S., pp.2004
  5. Venkata Ratnam, D., "Modelling of GAGAN TEC data using Spherical Harmonic functions", 4th International Conference on Computers and Devices for Communication (2009)

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