A Partial Carrier Phase Integer Ambiguity Fixing Algorithm for Combinatorial Optimization between Network RTK Reference Stations

In the face of a complex observation environment, the solution of the reference station of the ambiguity of network real-time kinematic (RTK) will be affected. The joint solution of multiple systems makes the ambiguity dimension increase steeply, which makes it difficult to estimate all the ambiguit...

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Main Authors: Shouhua Wang, Zhiqi You, Xiyan Sun
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/22/1/165
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author Shouhua Wang
Zhiqi You
Xiyan Sun
author_facet Shouhua Wang
Zhiqi You
Xiyan Sun
author_sort Shouhua Wang
collection DOAJ
description In the face of a complex observation environment, the solution of the reference station of the ambiguity of network real-time kinematic (RTK) will be affected. The joint solution of multiple systems makes the ambiguity dimension increase steeply, which makes it difficult to estimate all the ambiguity. In addition, when receiving satellite observation signals in the environment with many occlusions, the received satellite observation values are prone to gross errors, resulting in obvious deviations in the solution. In this paper, a new network RTK fixation algorithm for partial ambiguity among the reference stations is proposed. It first estimates the floating-point ambiguity using the robust extended Kalman filtering (EKF) technique based on mean estimation, then finds the optimal ambiguity subset by the optimized partial ambiguity solving method. Finally, fixing the floating-point solution by the least-squares ambiguity decorrelation adjustment (LAMBDA) algorithm and the joint test of ratio (R-ratio) and bootstrapping success rate index solver. The experimental results indicate that the new method can significantly improve the fixation rate of ambiguity among network RTK reference stations and thus effectively improve the reliability of positioning results.
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spelling doaj.art-04fbaffd47e747629bccd1d9d220113d2023-11-23T12:17:55ZengMDPI AGSensors1424-82202021-12-0122116510.3390/s22010165A Partial Carrier Phase Integer Ambiguity Fixing Algorithm for Combinatorial Optimization between Network RTK Reference StationsShouhua Wang0Zhiqi You1Xiyan Sun2College of Information and Communication, Guilin University of Electronic Technology, Guilin 541004, ChinaCollege of Information and Communication, Guilin University of Electronic Technology, Guilin 541004, ChinaCollege of Information and Communication, Guilin University of Electronic Technology, Guilin 541004, ChinaIn the face of a complex observation environment, the solution of the reference station of the ambiguity of network real-time kinematic (RTK) will be affected. The joint solution of multiple systems makes the ambiguity dimension increase steeply, which makes it difficult to estimate all the ambiguity. In addition, when receiving satellite observation signals in the environment with many occlusions, the received satellite observation values are prone to gross errors, resulting in obvious deviations in the solution. In this paper, a new network RTK fixation algorithm for partial ambiguity among the reference stations is proposed. It first estimates the floating-point ambiguity using the robust extended Kalman filtering (EKF) technique based on mean estimation, then finds the optimal ambiguity subset by the optimized partial ambiguity solving method. Finally, fixing the floating-point solution by the least-squares ambiguity decorrelation adjustment (LAMBDA) algorithm and the joint test of ratio (R-ratio) and bootstrapping success rate index solver. The experimental results indicate that the new method can significantly improve the fixation rate of ambiguity among network RTK reference stations and thus effectively improve the reliability of positioning results.https://www.mdpi.com/1424-8220/22/1/165network RTKambiguity resolutionpartial ambiguity fixationrobust extended Kalman filtering
spellingShingle Shouhua Wang
Zhiqi You
Xiyan Sun
A Partial Carrier Phase Integer Ambiguity Fixing Algorithm for Combinatorial Optimization between Network RTK Reference Stations
Sensors
network RTK
ambiguity resolution
partial ambiguity fixation
robust extended Kalman filtering
title A Partial Carrier Phase Integer Ambiguity Fixing Algorithm for Combinatorial Optimization between Network RTK Reference Stations
title_full A Partial Carrier Phase Integer Ambiguity Fixing Algorithm for Combinatorial Optimization between Network RTK Reference Stations
title_fullStr A Partial Carrier Phase Integer Ambiguity Fixing Algorithm for Combinatorial Optimization between Network RTK Reference Stations
title_full_unstemmed A Partial Carrier Phase Integer Ambiguity Fixing Algorithm for Combinatorial Optimization between Network RTK Reference Stations
title_short A Partial Carrier Phase Integer Ambiguity Fixing Algorithm for Combinatorial Optimization between Network RTK Reference Stations
title_sort partial carrier phase integer ambiguity fixing algorithm for combinatorial optimization between network rtk reference stations
topic network RTK
ambiguity resolution
partial ambiguity fixation
robust extended Kalman filtering
url https://www.mdpi.com/1424-8220/22/1/165
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