A New Algorithm for High-Integrity Detection and Compensation of Dual-Frequency Cycle Slip under Severe Ionospheric Storm Conditions

Many strategies for treating dual-frequency cycle slip, which can seriously affect the performance of a carrier-phase-based positioning system, have been studied over the years. However, the legacy method using the Melbourne-Wübbena (MW) combination and ionosphere combination is vulnerable...

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Main Authors: Donguk Kim, Junesol Song, Sunkyoung Yu, Changdon Kee, Moonbeom Heo
Format: Article
Language:English
Published: MDPI AG 2018-10-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/18/11/3654
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author Donguk Kim
Junesol Song
Sunkyoung Yu
Changdon Kee
Moonbeom Heo
author_facet Donguk Kim
Junesol Song
Sunkyoung Yu
Changdon Kee
Moonbeom Heo
author_sort Donguk Kim
collection DOAJ
description Many strategies for treating dual-frequency cycle slip, which can seriously affect the performance of a carrier-phase-based positioning system, have been studied over the years. However, the legacy method using the Melbourne-W&#252;bbena (MW) combination and ionosphere combination is vulnerable to pseudorange multipath effects and high ionospheric storms. In this paper, we propose a robust algorithm to detect and repair dual-frequency cycle slip for the network-based real-time kinematic (RTK) system which generates high-precision corrections for users. Two independent and complementary carrier-phase combinations, called the ionospheric negative and positive combinations in this paper, are employed for avoiding insensitive pairs. In addition, they are treated as second-order time differences to reduce the impact of ionospheric delay even under severe ionospheric storm. We verified that the actual error distributions of these monitoring values can be sufficiently bounded by the normal Gaussian distribution. Consequently, we demonstrated that the proposed method ensures high-integrity performance with a maximum probability of missed detection of 7.5 &#215; 10<sup>&#8722;9</sup> under a desired false-alarm probability of 10<sup>&#8722;5</sup>. Furthermore, we introduce a LAMBDA-based cycle slip compensation method, which has a failure rate of 1.4 &#215; 10<sup>&#8722;8</sup>. Through an algorithm verification test using data collected under a severe ionospheric storm, we confirmed that artificially inserted cycle slips are successfully detected and compensated for. Thus, the proposed method is confirmed to be effective for handling dual-frequency cycle slips of the network RTK system.
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spelling doaj.art-ecda8119030745faa973e0cbbdee59052022-12-22T03:59:38ZengMDPI AGSensors1424-82202018-10-011811365410.3390/s18113654s18113654A New Algorithm for High-Integrity Detection and Compensation of Dual-Frequency Cycle Slip under Severe Ionospheric Storm ConditionsDonguk Kim0Junesol Song1Sunkyoung Yu2Changdon Kee3Moonbeom Heo4School of Mechanical and Aerospace Engineering and the Institute of Advanced Aerospace Technology, Seoul National University, Seoul 08826, KoreaEcole Nationale de l’Aviation Civile (ENAC), 31400 Toulouse, FranceSchool of Mechanical and Aerospace Engineering and the Institute of Advanced Aerospace Technology, Seoul National University, Seoul 08826, KoreaSchool of Mechanical and Aerospace Engineering and the Institute of Advanced Aerospace Technology, Seoul National University, Seoul 08826, KoreaKorea Aerospace Research Institute (KARI), Daejeon 34133, KoreaMany strategies for treating dual-frequency cycle slip, which can seriously affect the performance of a carrier-phase-based positioning system, have been studied over the years. However, the legacy method using the Melbourne-W&#252;bbena (MW) combination and ionosphere combination is vulnerable to pseudorange multipath effects and high ionospheric storms. In this paper, we propose a robust algorithm to detect and repair dual-frequency cycle slip for the network-based real-time kinematic (RTK) system which generates high-precision corrections for users. Two independent and complementary carrier-phase combinations, called the ionospheric negative and positive combinations in this paper, are employed for avoiding insensitive pairs. In addition, they are treated as second-order time differences to reduce the impact of ionospheric delay even under severe ionospheric storm. We verified that the actual error distributions of these monitoring values can be sufficiently bounded by the normal Gaussian distribution. Consequently, we demonstrated that the proposed method ensures high-integrity performance with a maximum probability of missed detection of 7.5 &#215; 10<sup>&#8722;9</sup> under a desired false-alarm probability of 10<sup>&#8722;5</sup>. Furthermore, we introduce a LAMBDA-based cycle slip compensation method, which has a failure rate of 1.4 &#215; 10<sup>&#8722;8</sup>. Through an algorithm verification test using data collected under a severe ionospheric storm, we confirmed that artificially inserted cycle slips are successfully detected and compensated for. Thus, the proposed method is confirmed to be effective for handling dual-frequency cycle slips of the network RTK system.https://www.mdpi.com/1424-8220/18/11/3654cycle-slip detectioncycle-slip compensationinsensitive cycle-slip pairshigh-integrity detectionreal-time kinematic (RTK)
spellingShingle Donguk Kim
Junesol Song
Sunkyoung Yu
Changdon Kee
Moonbeom Heo
A New Algorithm for High-Integrity Detection and Compensation of Dual-Frequency Cycle Slip under Severe Ionospheric Storm Conditions
Sensors
cycle-slip detection
cycle-slip compensation
insensitive cycle-slip pairs
high-integrity detection
real-time kinematic (RTK)
title A New Algorithm for High-Integrity Detection and Compensation of Dual-Frequency Cycle Slip under Severe Ionospheric Storm Conditions
title_full A New Algorithm for High-Integrity Detection and Compensation of Dual-Frequency Cycle Slip under Severe Ionospheric Storm Conditions
title_fullStr A New Algorithm for High-Integrity Detection and Compensation of Dual-Frequency Cycle Slip under Severe Ionospheric Storm Conditions
title_full_unstemmed A New Algorithm for High-Integrity Detection and Compensation of Dual-Frequency Cycle Slip under Severe Ionospheric Storm Conditions
title_short A New Algorithm for High-Integrity Detection and Compensation of Dual-Frequency Cycle Slip under Severe Ionospheric Storm Conditions
title_sort new algorithm for high integrity detection and compensation of dual frequency cycle slip under severe ionospheric storm conditions
topic cycle-slip detection
cycle-slip compensation
insensitive cycle-slip pairs
high-integrity detection
real-time kinematic (RTK)
url https://www.mdpi.com/1424-8220/18/11/3654
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