On-The-Fly Ambiguity Resolution Based on Double-Differential Square Observation

Global navigation systems provide worldwide positioning, navigation and navigation services. However, in some challenging environments, especially when the satellite is blocked, the performance of GNSS is seriously degraded or even unavailable. Ground based positioning systems, including pseudolites...

Full description

Bibliographic Details
Main Authors: Tengfei Wang, Zheng Yao, Mingquan Lu
Format: Article
Language:English
Published: MDPI AG 2018-08-01
Series:Sensors
Subjects:
Online Access:http://www.mdpi.com/1424-8220/18/8/2495
_version_ 1798039167152685056
author Tengfei Wang
Zheng Yao
Mingquan Lu
author_facet Tengfei Wang
Zheng Yao
Mingquan Lu
author_sort Tengfei Wang
collection DOAJ
description Global navigation systems provide worldwide positioning, navigation and navigation services. However, in some challenging environments, especially when the satellite is blocked, the performance of GNSS is seriously degraded or even unavailable. Ground based positioning systems, including pseudolites and Locata, have shown their potentials in centimeter-level positioning accuracy using carrier phase measurements. Ambiguity resolution (AR) is a key issue for such high precision positioning. Current methods for the ground based systems need code measurements for initialization and/or approximating linearization. If the code measurements show relatively large errors, current methods might suffer from convergence difficulties in ground based positioning. In this paper, the concept of double-differential square observation (DDS) is proposed, and an on-the-fly ambiguity resolution (OTF-AR) method is developed for ground based navigation systems using two-way measurements. An important advantage of the proposed method is that only the carrier phase measurements are used, and code measurements are not necessary. The clock error is canceled out by two-way measurements between the rover and the base stations. The squared observations are then differenced between different rover positions and different base stations, and a linear model is then obtained. The floating integer values are easy to compute via this model, and there is no need to do approximate linearization. In this procedure, the rover’s approximate coordinates are also directly obtained from the carrier measurements, therefore code measurements are not necessary. As an OTF-AR method, the proposed method relies on geometric changes caused by the rover’s motion. As shown by the simulations, the geometric diversity of observations is the key factor for the AR success rate. Moreover, the fine floating solutions given by our method also have a fairly good accuracy, which is valuable when fixed solutions are not reliable. A real experiment is conducted to validate the proposed method. The results show that the fixed solution could achieve centimeter-level accuracy.
first_indexed 2024-04-11T21:50:10Z
format Article
id doaj.art-1e9cd12719044fba80baad0cee6596cc
institution Directory Open Access Journal
issn 1424-8220
language English
last_indexed 2024-04-11T21:50:10Z
publishDate 2018-08-01
publisher MDPI AG
record_format Article
series Sensors
spelling doaj.art-1e9cd12719044fba80baad0cee6596cc2022-12-22T04:01:15ZengMDPI AGSensors1424-82202018-08-01188249510.3390/s18082495s18082495On-The-Fly Ambiguity Resolution Based on Double-Differential Square ObservationTengfei Wang0Zheng Yao1Mingquan Lu2Department of Electronic Engineering, Tsinghua University, Beijing 100084, ChinaDepartment of Electronic Engineering, Tsinghua University, Beijing 100084, ChinaDepartment of Electronic Engineering, Tsinghua University, Beijing 100084, ChinaGlobal navigation systems provide worldwide positioning, navigation and navigation services. However, in some challenging environments, especially when the satellite is blocked, the performance of GNSS is seriously degraded or even unavailable. Ground based positioning systems, including pseudolites and Locata, have shown their potentials in centimeter-level positioning accuracy using carrier phase measurements. Ambiguity resolution (AR) is a key issue for such high precision positioning. Current methods for the ground based systems need code measurements for initialization and/or approximating linearization. If the code measurements show relatively large errors, current methods might suffer from convergence difficulties in ground based positioning. In this paper, the concept of double-differential square observation (DDS) is proposed, and an on-the-fly ambiguity resolution (OTF-AR) method is developed for ground based navigation systems using two-way measurements. An important advantage of the proposed method is that only the carrier phase measurements are used, and code measurements are not necessary. The clock error is canceled out by two-way measurements between the rover and the base stations. The squared observations are then differenced between different rover positions and different base stations, and a linear model is then obtained. The floating integer values are easy to compute via this model, and there is no need to do approximate linearization. In this procedure, the rover’s approximate coordinates are also directly obtained from the carrier measurements, therefore code measurements are not necessary. As an OTF-AR method, the proposed method relies on geometric changes caused by the rover’s motion. As shown by the simulations, the geometric diversity of observations is the key factor for the AR success rate. Moreover, the fine floating solutions given by our method also have a fairly good accuracy, which is valuable when fixed solutions are not reliable. A real experiment is conducted to validate the proposed method. The results show that the fixed solution could achieve centimeter-level accuracy.http://www.mdpi.com/1424-8220/18/8/2495ambiguity resolutionground based positioningcarrier phase measurement
spellingShingle Tengfei Wang
Zheng Yao
Mingquan Lu
On-The-Fly Ambiguity Resolution Based on Double-Differential Square Observation
Sensors
ambiguity resolution
ground based positioning
carrier phase measurement
title On-The-Fly Ambiguity Resolution Based on Double-Differential Square Observation
title_full On-The-Fly Ambiguity Resolution Based on Double-Differential Square Observation
title_fullStr On-The-Fly Ambiguity Resolution Based on Double-Differential Square Observation
title_full_unstemmed On-The-Fly Ambiguity Resolution Based on Double-Differential Square Observation
title_short On-The-Fly Ambiguity Resolution Based on Double-Differential Square Observation
title_sort on the fly ambiguity resolution based on double differential square observation
topic ambiguity resolution
ground based positioning
carrier phase measurement
url http://www.mdpi.com/1424-8220/18/8/2495
work_keys_str_mv AT tengfeiwang ontheflyambiguityresolutionbasedondoubledifferentialsquareobservation
AT zhengyao ontheflyambiguityresolutionbasedondoubledifferentialsquareobservation
AT mingquanlu ontheflyambiguityresolutionbasedondoubledifferentialsquareobservation