Journal of Astronomy and Space Sciences

The Korean Space Science Society (한국우주과학회)
권호 표지
DOI QR코드

DOI QR Code

Generation of Klobuchar Ionospheric Error Model Coefficients Using Fourier Series and Accuracy Analysis

  • Received : 2010.08.30
  • Accepted : 2011.01.09
  • Published : 2011.03.15
Download PDF
⟨ Previous Next ⟩

Abstract

Ionospheric error modeling is necessary to create reliable global navigation satellite system (GNSS) signals using a GNSS simulator. In this paper we developed algorithms to generate Klobuchar coefficients ${\alpha}_n$, ${\beta}_n$ (n = 1, 2, 3, 4) for a GNSS simulator and verified accuracy of the algorithm. The eight Klobuchar coefficients were extracted from three years of global positioning system broadcast (BRDC) messages provided by International GNSS service from 2006 through 2008 and were fitted with Fourier series. The generated coefficients from our developed algorithms are referred to as Fourier Klobuchar model (FOKM) coefficients, while those coefficients from BRDC massages are named as BRDC coefficients. The correlation coefficient values between FOKM and BRDC were higher than 0.97. We estimated total electron content using the Klobuchar model with FOKM coefficients and compared the result with that from the BRDC model. As a result, the maximum root mean square was 1.6 total electron content unit.

Keywords

References

  1. Dong L, Ma C, Lachapelle G, Implementation and verification of a software-based IF GPS signal simulator, in Proceedings of ION National Technical Meeting, San Diego, CA, 26-28 Jan 2004, 378-389.
  2. Hofmann-Wellenhof B, Lichtenegger H, Wasle E, GNSS-global navigation satellite systems (Springer-Verlag, New York, 2007), 127-218.
  3. Klobuchar JA, Ionospheric time-delay algorithm for single-frequency GPS users, IEEE Trans Aerosp Electron Syst, AES-23, 325-331 (1987). doi: 10.1109/TAES.1987.310829
  4. Komjathy A, Global ionospheric total electron content mapping using the global positioning system, PhD Dissertation, University of New Brunswick (1997).
  5. Lee CM, Park K-D, Lee SU, Generation of Klobuchar coefficients for ionospheric error simulation, JASS, 27, 117-122 (2010). doi: 10.5140/JASS.2010.27.2.117
  6. Lee YJ, Kwak HH, Jee KI, Park CS, Kim IS, et al., Application of Klobuchar ionospheric time-delay model to GPS positioning, KSAS, 15, 128-135 (1995).
  7. Ovstedal O, Absolute positioning with single-frequency GPS receivers, GPS Solut, 5, 33-44 (2002). doi: 10.1007/PL00012910
  8. Seo Y-K, The measurement of the ionospheric total electron content using P-code of GPS, Master’s Thesis, Kyung Hee University (1994).
  9. Yuan Y, Huo X, Ou J, Zhang K, Chai Y, et al., Refining the Klobuchar ionospheric coefficients based on GPS observations, IEEE Trans Aerosp Electron Syst, AES-44, 1498-1510 (2008). doi: 10.1109/TAES.2008.4667725

Cited by

  1. Solution to the problem of the close integration of satellite and inertial platform navigation systems vol.53, pp.6, 2015, https://doi.org/10.1134/S0010952515060040