Review of the Monothematic Series of Publications Concerning Research on Statistical Distributions of Navigation Positioning System Errors
This review presents the main results of the author’s study, obtained as part of the post-doctoral (habilitation) dissertation entitled “Research on Statistical Distributions of Navigation Positioning System Errors”, which constitutes a series of five thematically linked scientific publications. The...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-11-01
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| Series: | Remote Sensing |
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| Online Access: | https://www.mdpi.com/2072-4292/15/22/5407 |
| _version_ | 1797457866068590592 |
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| author | Mariusz Specht |
| author_facet | Mariusz Specht |
| author_sort | Mariusz Specht |
| collection | DOAJ |
| description | This review presents the main results of the author’s study, obtained as part of the post-doctoral (habilitation) dissertation entitled “Research on Statistical Distributions of Navigation Positioning System Errors”, which constitutes a series of five thematically linked scientific publications. The main scientific aim of this series is to answer the question of what statistical distributions follow the position errors of navigation systems, such as Differential Global Positioning System (DGPS), European Geostationary Navigation Overlay Service (EGNOS), Global Positioning System (GPS), and others. All of the positioning systems under study (Decca Navigator, DGPS, EGNOS, and GPS) are characterised by the Position Random Walk (PRW), which means that latitude and longitude errors do not appear randomly, being a feature of the normal distribution. The research showed that the Gaussian distribution is not an optimal distribution for the modelling of navigation positioning system errors. A higher fit to the 1D and 2D position errors was exhibited by such distributions as beta, gamma, and lognormal. Moreover, it was proven that the Twice the Distance Root Mean Square (2DRMS(2D)) measure, which assumes a priori normal distribution of position errors in relation to latitude and latitude, was smaller by 10–14% than the position error value from which 95% fixes were smaller (it is known as the R95(2D) measure). |
| first_indexed | 2024-03-09T16:28:55Z |
| format | Article |
| id | doaj.art-e4fa7141f28e4574ada9aaedac76e510 |
| institution | Directory Open Access Journal |
| issn | 2072-4292 |
| language | English |
| last_indexed | 2024-03-09T16:28:55Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Remote Sensing |
| spelling | doaj.art-e4fa7141f28e4574ada9aaedac76e5102023-11-24T15:04:47ZengMDPI AGRemote Sensing2072-42922023-11-011522540710.3390/rs15225407Review of the Monothematic Series of Publications Concerning Research on Statistical Distributions of Navigation Positioning System ErrorsMariusz Specht0Department of Transport and Logistics, Gdynia Maritime University, Morska 81-87, 81-225 Gdynia, PolandThis review presents the main results of the author’s study, obtained as part of the post-doctoral (habilitation) dissertation entitled “Research on Statistical Distributions of Navigation Positioning System Errors”, which constitutes a series of five thematically linked scientific publications. The main scientific aim of this series is to answer the question of what statistical distributions follow the position errors of navigation systems, such as Differential Global Positioning System (DGPS), European Geostationary Navigation Overlay Service (EGNOS), Global Positioning System (GPS), and others. All of the positioning systems under study (Decca Navigator, DGPS, EGNOS, and GPS) are characterised by the Position Random Walk (PRW), which means that latitude and longitude errors do not appear randomly, being a feature of the normal distribution. The research showed that the Gaussian distribution is not an optimal distribution for the modelling of navigation positioning system errors. A higher fit to the 1D and 2D position errors was exhibited by such distributions as beta, gamma, and lognormal. Moreover, it was proven that the Twice the Distance Root Mean Square (2DRMS(2D)) measure, which assumes a priori normal distribution of position errors in relation to latitude and latitude, was smaller by 10–14% than the position error value from which 95% fixes were smaller (it is known as the R95(2D) measure).https://www.mdpi.com/2072-4292/15/22/5407statistical distributionposition errornavigation positioning systemsample sizePosition Random Walk (PRW) |
| spellingShingle | Mariusz Specht Review of the Monothematic Series of Publications Concerning Research on Statistical Distributions of Navigation Positioning System Errors Remote Sensing statistical distribution position error navigation positioning system sample size Position Random Walk (PRW) |
| title | Review of the Monothematic Series of Publications Concerning Research on Statistical Distributions of Navigation Positioning System Errors |
| title_full | Review of the Monothematic Series of Publications Concerning Research on Statistical Distributions of Navigation Positioning System Errors |
| title_fullStr | Review of the Monothematic Series of Publications Concerning Research on Statistical Distributions of Navigation Positioning System Errors |
| title_full_unstemmed | Review of the Monothematic Series of Publications Concerning Research on Statistical Distributions of Navigation Positioning System Errors |
| title_short | Review of the Monothematic Series of Publications Concerning Research on Statistical Distributions of Navigation Positioning System Errors |
| title_sort | review of the monothematic series of publications concerning research on statistical distributions of navigation positioning system errors |
| topic | statistical distribution position error navigation positioning system sample size Position Random Walk (PRW) |
| url | https://www.mdpi.com/2072-4292/15/22/5407 |
| work_keys_str_mv | AT mariuszspecht reviewofthemonothematicseriesofpublicationsconcerningresearchonstatisticaldistributionsofnavigationpositioningsystemerrors |