Non-Least Square GNSS Positioning Algorithm for Densely Urbanized Areas

The paper introduces an essentially new algorithm for calculating the GNSS position as an alternative to the least-square method. The proposed approach can be widely applied to any positioning method that uses multiple position lines for position calculation and is an example of how using a numerica...

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Main Author: Jerzy Demkowicz
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Remote Sensing
Subjects:
Online Access:https://www.mdpi.com/2072-4292/14/9/2027
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author Jerzy Demkowicz
author_facet Jerzy Demkowicz
author_sort Jerzy Demkowicz
collection DOAJ
description The paper introduces an essentially new algorithm for calculating the GNSS position as an alternative to the least-square method. The proposed approach can be widely applied to any positioning method that uses multiple position lines for position calculation and is an example of how using a numerical solution can improve position accuracy without access to historical data. In essence, the method is based on the adaptation of the median filtering method widely used in the field of image processing, while at the same time applying a combinatorial approach and order statistics. The proposed solution makes it possible to improve on and assess the credibility of a single measurement. The article highlights the differences between the proposed and currently used approaches, as well as their advantages and disadvantages. The algorithm has been extensively tested under various environmental and weather conditions. The tests were carried out in typical and also in very demanding conditions, thus taking into account the real application context, i.e., pedestrian and car navigation in densely urbanized areas.
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spelling doaj.art-9bb6f44f86294dd1899f0dcde81f55772023-11-23T09:09:28ZengMDPI AGRemote Sensing2072-42922022-04-01149202710.3390/rs14092027Non-Least Square GNSS Positioning Algorithm for Densely Urbanized AreasJerzy Demkowicz0Department of Geoinformatics, Gdańsk University of Technology, 80-233 Gdańsk, PolandThe paper introduces an essentially new algorithm for calculating the GNSS position as an alternative to the least-square method. The proposed approach can be widely applied to any positioning method that uses multiple position lines for position calculation and is an example of how using a numerical solution can improve position accuracy without access to historical data. In essence, the method is based on the adaptation of the median filtering method widely used in the field of image processing, while at the same time applying a combinatorial approach and order statistics. The proposed solution makes it possible to improve on and assess the credibility of a single measurement. The article highlights the differences between the proposed and currently used approaches, as well as their advantages and disadvantages. The algorithm has been extensively tested under various environmental and weather conditions. The tests were carried out in typical and also in very demanding conditions, thus taking into account the real application context, i.e., pedestrian and car navigation in densely urbanized areas.https://www.mdpi.com/2072-4292/14/9/2027GNSSreflected signalsmultipathurbanized area
spellingShingle Jerzy Demkowicz
Non-Least Square GNSS Positioning Algorithm for Densely Urbanized Areas
Remote Sensing
GNSS
reflected signals
multipath
urbanized area
title Non-Least Square GNSS Positioning Algorithm for Densely Urbanized Areas
title_full Non-Least Square GNSS Positioning Algorithm for Densely Urbanized Areas
title_fullStr Non-Least Square GNSS Positioning Algorithm for Densely Urbanized Areas
title_full_unstemmed Non-Least Square GNSS Positioning Algorithm for Densely Urbanized Areas
title_short Non-Least Square GNSS Positioning Algorithm for Densely Urbanized Areas
title_sort non least square gnss positioning algorithm for densely urbanized areas
topic GNSS
reflected signals
multipath
urbanized area
url https://www.mdpi.com/2072-4292/14/9/2027
work_keys_str_mv AT jerzydemkowicz nonleastsquaregnsspositioningalgorithmfordenselyurbanizedareas