Analiza časovnih vrst koordinat GNSS : diplomska naloga

Miladinoska, Mihaela (author), Sterle, Oskar (mentor), Stopar, Bojan (comentor)

V okviru diplomske naloge smo analizirali časovne vrste koordinat osmih postaj GNSS omrežja SIGNAL na območju Slovenije. Časovne vrste koordinat, ki se nanašajo na dnevne izračune koordinat postaj v globalnem koordinatnem sistemu ITRS so podane za obdobje petih let, od 2019 do vključno 2024. Cilj naloge je bilo zasnovati matematični model za analizo časovnih vrst, kjer predpostavimo, da koordinate postaj spreminjajo s konstantno hitrostjo, a so v časovnih vrstah prisotne tudi spremembe hitrosti in periodični signali. Izdelali smo lastno programsko orodje v MATLAB­u, ki temelji na posredni izravnavi po metodi najmmanjših kvadratov. Rezultati, ki smo jih dobili, kažejo na visoko stopnjo ujemanja hitrosti dnevnih koordinat postaj GNSS z zasnovanim modelom, saj so odstopanja dnevnih koordinat postaj GNSS od modeliranih na nivoju milimetrov pri horizontalnih komponentah n in e ter pod centimetrom pri višini.

• Language: Slovenian
• Keywords: diplomske naloge, GNSS, časovna vrsta, vektor hitrosti, SIGNAL, posredna izravnava
• Work type: Bachelor thesis/paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FGG - Faculty of Civil and Geodetic Engineering
• Place of publishing: Ljubljana
• Publisher: [M. Miladinoska]
• Year: 2025
• Number of pages: 1 spletni vir (1 datoteka PDF (X, 40 str., [8] str. pril.))
• PID: 20.500.12556/RUL-174040
• UDC: 528:004.42(497.4)(043.2)
• COBISS.SI-ID: 251306755
• Publication date in RUL: 26.09.2025

Secondary language

• Language: English
• Title: Analysis of GNSS coordinate time series : graduation thesis

Abstract

As part of this thesis, we analysed the time series of coordinates from eight stations in the SIGNAL GNSS network in Slovenia. The time series of coordinates, which refer to daily calculations of station coordinates in the ITRS global coordinate system, are given for a period of five years, from 2019 to 2024 inclusive. The aim of the thesis was to design a mathematical model for analysing time series, where we assume that the coordinates of the stations change at a constant rate, but that changes in speed and periodic signals are also present in the time series. We developed our own software tool in MATLAB, which is based on principles of least squares adjustment. The results we obtained show a high degree of agreement between the daily coordinates of GNSS stations and the designed model, as the deviations of the daily coordinates of GNSS stations from the modelled ones are at the millimetre level for the horizontal components n and e and below one centimetre for the height.

• Keywords: graduation thesis, time series, velocity vector, indirect adjustment