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Pregled bibliografske jedinice broj: 1004610

Midlatitude Klobuchar correction model based on the k‑means clustering of ionospheric daily variations

Pongračić, Barbara; Wu, Falin; Fathollahi, Loghman; Brčić, David
Midlatitude Klobuchar correction model based on the k‑means clustering of ionospheric daily variations // Gps solutions, 23 (2019), 3; 80, 13 doi:10.1007/s10291-019-0871-x (međunarodna recenzija, članak, znanstveni)

Midlatitude Klobuchar correction model based on the k‑means clustering of ionospheric daily variations

Pongračić, Barbara ; Wu, Falin ; Fathollahi, Loghman ; Brčić, David

Gps solutions (1080-5370) 23 (2019), 3; 80, 13

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Ionospheric delay ; Klobuchar model improvement ; Midlatitudes ; k-means clustering ; GNSS

The ionosphere influences GNSS radio waves and causes errors in measurements. The majority of GNSS users employ single-frequency receivers that mitigate ionospheric effects by utilizing various models. The GPS system corrects for ionospheric errors through the Klobuchar model, which successfully mitigates approximately 50% of the delay on the global scale ; this model estimates the ionospheric delay by using one daily peak value at 14:00 local time (LT) with constant nighttime values. However, the daily ionospheric distribution shows a deviation from the Klobuchar model regarding a secondary peak during periods with higher incoming solar radiation and the occurrence of a nighttime peak. We propose a model, namely the midlatitude Klobuchar correction (ML-KC) model, to correct the Klobuchar model for midlatitude users. The proposed model is a function of the day of the year and the LT of the user adjusted to the local solar time. The dependency on the day of the year is modeled by using the k-means algorithm, thereby producing three clusters based on the correlation between daily modeling coefficients, which are expressed as the ratio between the delay from ionospheric maps and the delay estimated by the Klobuchar model. Furthermore, the time dependency is modeled with three harmonic components. The ML-KC was modeled from ionospheric maps over Europe during the period from 2005 to 2016. The performance of the ML-KC model was tested not only on the same dataset with one additional year of data from 2017 but also in two larger regions different from the modeling area to avoid model overfitting. The performance of the ML-KC model was better than that of the Klobuchar model during all assessed years and areas with the most significant improvements in RMS ; during 2011, which demonstrated high solar activity, the RMS improvement reached 36.24%. The proposed model, which can be easily implemented in single-frequency GNSS receivers, offers a simple improvement to the Klobuchar model.

Izvorni jezik

Znanstvena područja
Interdisciplinarne prirodne znanosti, Tehnologija prometa i transport, Zrakoplovstvo, raketna i svemirska tehnika


Pomorski fakultet, Rijeka

Autor s matičnim brojem:
David Brčić, (313384)

Časopis indeksira:

  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus