Experimental studies on the relationship between HDOP and position error in the GPS system

• Autorzy: Specht Mariusz

Identyfikatory

DOI

10.24425/mms.2022.138549

• Języki publikacji: EN

Abstrakty

EN

2D position error in the Global Positioning System GPS depends on the horizontal dilution of precision (HDOP) and User Equivalent Range Error UERE. The non-dimensional HDOP coeffcient, determining the influence of satellite distribution on the positioning accuracy, can be calculated exactly for a given moment in time. However, the UERE value is a magnitude variable in time, especially due to errors in radio propagation (ionosphere and troposphere effects) and it cannot be precisely predicted. The variability of the UERE causes the actual measurements (despite an exact theoretical mathematical correlation between the HDOP value and the position error) to indicate that position errors differ for the same HDOP value. The aim of this article is to determine the relation between the GPS position error and the HDOP value. It is possible only statistically, based on an analysis of an exceptionally large measurement sample. To this end, measurement results of a 10-day GPS measurement campaign (900,000 fixes) have been used. For HDOP values (in the range of 0.6-1.8), position errors were recorded and analysed to determine the statistical distribution of GPS position errors corresponding to various HDOP values. The experimental study and statistical analyses showed that the most common HDOP values in the GPS system are magnitudes of: 0.7 (𝑝 = 0.353) and 0.8 (𝑝 = 0.432). Only 2.77% of fixes indicated an HDOP value larger than 1. Moreover, 95% of measurements featured a geometric coeffcient of 0.973 - this is why it can be assumed that in optimal conditions (without local terrain obstacles), the GPS system is capable of providing values of HDOP ≤ 1, with a probability greater than 95% (2𝜎). Obtaining a low HDOP value, which results in a low GPS position error value, calls for providing a high mean number of satellites (12 or more) and low variability in their numer.

Słowa kluczowe

EN

Global Positioning System; GPS; Horizontal Dilution of Precision; HDOP; position error

• Wydawca: Komitet Metrologii i Aparatury Naukowej PAN
• Czasopismo: Metrology and Measurement Systems
• Rocznik: 2022
• Tom: Vol. 29, nr 1
• Strony: 17--36
• Opis fizyczny: Bibliogr. 64 poz., rys., tab., wykr., wzory

Twórcy

autor

Specht Mariusz

• Department of Transport and Logistics, Gdynia Maritime University, Morska 81-87, 81-225 Gdynia, Poland

Bibliografia

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Uwagi

1. This research was funded from the statutory activities of Gdynia Maritime University, grant number WN/2021/PZ/05.

2. Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).