Prognostic evaluation of the impact of restricted horizon visibility on the accuracy of position (coordinates) obtained with GNSS based on empirical data
Abstract
In this research, the practical check of regression equation to calculate the prognostic root mean square error (RMSE) of the final point position of the base line in relation to the initial one has been executed. For the investigation, experimental data from three satellite receivers within two days on 5 points have been used. According to the received results, the regression equation to calculate the RMSE of spatial, planned and height position of the final point of the base line in relation to the initial value has been made. These equations allow executing the prognostic evaluation of accuracy for conducting satellite calculations based on data about available obstacles. The dependencies received for the duration of observations sessions for 1 hour, the vectors with the length of 4 km, and the coefficient value of openness from 5.17 to 10.31 have been presented.
Keyword : GPS, GNSS, regression equation, satellite observations, limited horizon visibility, accuracy, permanent station, electronic total station, root mean square error (RMSE)
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
Baran, P., & Chornokin, V. (2004). Vyznachennia tryvalosti GPSsposterezhen v geodezychnykh merezhakh. Visnyk geodezii ta kartohrafii, 2, 12–15 (in Ukrainian).
Bida, O. (2015). Osnovni dzherela pohybok vyznachennya koordynat punktiv suputnykovymy tehnologiyamy GNSS u rezhymi realnogo chasu. Visnyk Lvivskogo nacionalnogo agrarnogo universytetu, seriya: ekonomika APK, 22(2), 166–169 (in Ukrainian).
Chernyaga, P., & Yanchuk, O. (2012). Poryadok vyznachennya prydatnostі punktu do GPS-sposterezhen. Suchasnі dosiahnennya geodezychnoi nauky i vyrobnytstva, 1(23), 53–56 (in Ukrainian).
Dai, L., Wang, J., Rizos, C., & Han, S. (2002). Pseudo-satellite applications in deformation monitoring. GPS Solutions, 5(3), 80–87. https://doi.org/10.1007/PL00012902
Fouque, C., & Bonnifait, P. (2010). Vehicle localization in urban canyons using geo-referenced data and few GNSS satellites. Retrieved February 05, 2019, from http://hal.archives-ouvertes.fr/docs/00/44/52/68/PDF/article-final.pdf
Gritsyuk, T., & Tretyak, K. (2007). Do pytannya otsіnki tochnostі vymіryuvannya perevischen metodom GPS. Geodezіya, kartografіya ta aerofotoznіmannya, 69, 78–82 (in Ukrainian).
Kijewski-Correa, T., & Kareem, A. (2003). The height of precision. GPS World, 14(9), 20–34.
Kostetska, Y., Toropa, I., & Fok, O. (2005). Do pytannya tryvalostі GPS-sposterezhen zalezhno vid dovzhyny vectora-bazy. Suchasnі dosyagnennya geodezychnoi nauky i vyrobnytstva, 2(10), 60–65 (in Ukrainian).
Ohrіmchuk, A., Chernyaga, P., & Yanchuk, O. (2011). Otsіnka tochnostі viznachennya skladovykh vektorіv zalezhno vid tryvalostі GPS-sposterezhen ta obmezhennya vydymostі neboskhilu. Geodezіya, kartografіya ta aerofotoznіmannya, 75, 17–25 (in Ukrainian).
Tretyak, K., & Shushkova, T. (2001). Do pytannya tryvalostі GPS-vymіrіv pry pobudovі derzhavnyh merezh 1-go ta 2-go klasіv. Geodezіya, kartografіya ta aerofotoznіmannya, 61, 124–132 (in Ukrainian).
Tretyak, K. (2004). Optymіzatsіya kіnematichnyh geodesychnyh merezh (avtoref. dys. dokt. tekhn. nauk.). Natsionalnyi un-t “Lvivska politekhnika”, Lviv, Ukraina (in Ukrainian).
Santerre, R., & Boulianne, M. (1995). New tools for urban GPS surveyors. GPS World, 6(2), 49–54.
Yanchuk, O. (2010). Doslіdzhennya tochnostі GPS-sposterezhen v ymovah obmezhenoii vydymostі horizontu. Іnzhenerna geodezіya, 55, 224–235 (in Ukrainian).
Yanchuk, O., Shulgan, R., Dets, T., & Struk, S. (2017). Evaluation of GPS observations accuracy within limited visibility basing on empiric data. Geodesy and Cartography, 43(3), 105–110. https://doi.org/10.3846/20296991.2017.1371648