Stochastic modeling of between-receiver single-differenced ionospheric delays and its application to medium baseline RTK positioning

Mi, Xiaolong; Zhang, Baocheng; Yuan, Yunbin

doi:10.1088/1361-6501/ab11b5

Cited by 14 publications

(7 citation statements)

References 34 publications

(6 reference statements)

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“…The non‐combination strategy has two advantages: (a) L1 and WL ambiguities are estimated at the same time, and it is very convenient to continue to search for other ambiguities and update the normal equation after partial ambiguity is fixed. Compared with IF combination strategy, the complexity of the model is greatly reduced; (b) This non‐combinative model retains ionospheric parameters, which facilitates the addition of the external ionospheric weighted constraint strategy (Mi et al., 2019; Odolinski & Teunissen, 2017; Wielgosz, 2011). Previous studies have shown that ionospheric weighted constraint strategy is one of the most effective methods for fast relative positioning of GNSS (Odijk, 2000b; Odolinski & Teunissen, 2017; Paziewski, 2016; Paziewski & Wielgosz, 2014; Wielgosz, 2011; R. Zhang et al., 2022), that is, the prior ionospheric correction information and its variance are introduced into the function model as virtual observations, which can greatly improve the fixed effect of ambiguity.…”

Section: Theory and Methodsmentioning

confidence: 99%

Improvement Analysis of a Height‐Deviation Compensation‐Based Linear Interpolation Method for Multi‐Station Regional Troposphere

Wang,

Liu,

Wen

et al. 2023

Earth and Space Science

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In network real‐time kinematic positioning of multi‐reference station, the spatial and temporal distribution of tropospheric delay is affected by both horizontal and elevation. The traditional modeling strategy of regional troposphere takes more consideration of the horizontal factor, and the incomplete consideration of the elevation factor will lead to the problem of reduced modeling accuracy, especially in the face of the scene with large regional height deviation. Based on the traditional linear interpolation method (LIM), a simple and effective height‐deviation compensation‐based linear interpolation method (HCLIM) for regional tropospheric is proposed. The modeling accuracy of troposphere and the positioning accuracy of user RTK in large height deviation region are significantly improved. The method was verified based on six experimental subnets with large height deviations from a provincial continuously operating GNSS reference stations network in central China. The results showed that: For GPS satellite modeling, compared with the traditional LIM method, the average modeling accuracy improvement rate of HCLIM method is (84.5%, 75.5%, 59.3%, 26.7%) in the elevation angle range of (10–30°/30–40°/40–50°/50–90°). For BDS satellite, the average modeling accuracy improvement rate of HCLIM method in the above four elevation angles is (83.3%, 70%, 50%, 23.5%). For the positioning performance of user RTK, The horizontal positioning accuracy and RTK fixing rate were similar under the two methods, while HCLIM method showed only slight improvement. However, in the U direction, LIM method showed obvious systematic bias, while HCLIM method showed consistent positioning accuracy, which was improved to 82.8% compared with LIM method.

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Section: Theory and Methodsmentioning

confidence: 99%

Improvement Analysis of a Height‐Deviation Compensation‐Based Linear Interpolation Method for Multi‐Station Regional Troposphere

Wang,

Liu,

Wen

et al. 2023

Earth and Space Science

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“…For short baselines of a few kilometers, relative tropospheric and ionospheric delays can be ignored (Mi et al 2019b;Odolinski et al 2015b). In this case, the SD RTK model can be expressed as…”

Section: Sd Rtk Modelmentioning

confidence: 99%

Initial assessment of single- and dual-frequency BDS-3 RTK positioning

Yuan

Zhang

2020

Satell Navig

Self Cite

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The BeiDou navigation satellite system with global coverage (BDS-3) has been fully operational since July 2020 and provides comprehensive services to global users. BDS-3 transmits several new navigational signals based on the signals inherited from the BeiDou navigation satellite (regional) system (BDS-2). Previous studies focused on the positioning performance of BDS-2 plus BDS-3 and that of combining BDS-3 and other Global Navigation Satellite Systems (GNSSs), but there was no in-depth discussion on the positioning performance of the BDS-3-only. In this contribution, the BDS-3-only Real-Time Kinematic (RTK) positioning is analysed using the data collected in zero and short baselines in Wuhan, China. The RTK model based on Single-Differenced is first presented, and the BDS-3-only RTK positioning in cases of single and dual-frequencies is evaluated with the model in terms of the empirical integer ambiguity resolution success rates and positioning accuracy. Our numerical tests suggest two major findings. First, the positioning performance for the B1I and B3I retained from BDS-2 and the new frequency B1C is comparable, while that for the new frequency B2a is poorer. Second, the positioning performance of the new frequency combination of the B1C + B2a is not as good as that of the B1C only, owing to the unrealistic stochastic model used.

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“…Consider a zero-or short-baseline configuration for which one can safely assume no differential ionospheric or tropospheric effects (Odolinski et al 2014c, Zhang et al 2016, Mi et al 2019a. The rank-deficient RTK model using an SD code and phase observations of dual constellations can be given as…”

Section: Rtk Model: Isbs Estimation and Applicationsmentioning

confidence: 99%

Characteristics of GPS, BDS2, BDS3 and Galileo inter-system biases and their influence on RTK positioning

Zhang

Yuan

et al. 2019

Meas. Sci. Technol.

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The Chinese new-generation BeiDou navigation satellite system (BDS3) is under construction and has begun to provide satellite-based positioning, navigation and timing solutions for global users. Inter-system biases (ISBs) are critical for the optimal combination of multiple global navigation satellite systems (GNSSs) observations, and their calibration makes it possible to enhance the interoperability among different GNSSs. We formerly presented a method based on the between-receiver single-differenced (SD) multi-GNSS observation equations for estimating the ISBs in scenarios with both overlapping and non-overlapping frequencies. In this paper, we analyze the ISBs between the new-generation BDS3 and other GNSSs, as well as BDS2, using the previously proposed SD method. For the first time, this article presents the ISBs between BDS3 and GPS, Galileo and BDS2 for identical-receiver baselines. Numerical analysis indicates that (1) the new frequencies of BDS3 that overlap those of GPS and Galileo are, rather unexpectedly, free of ISBs, suggesting the existence of interoperability among these three constellations; (2) there are obvious ISBs between BDS3 and BDS2 at non-overlapping frequencies but not at overlapping frequencies; (3) calibrating the ISBs makes it possible to improve the performance of real-time kinematic (RTK) positioning for multiple GNSSs involving BDS3.

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Stochastic modeling of between-receiver single-differenced ionospheric delays and its application to medium baseline RTK positioning

Cited by 14 publications

References 34 publications

Improvement Analysis of a Height‐Deviation Compensation‐Based Linear Interpolation Method for Multi‐Station Regional Troposphere

Improvement Analysis of a Height‐Deviation Compensation‐Based Linear Interpolation Method for Multi‐Station Regional Troposphere

Initial assessment of single- and dual-frequency BDS-3 RTK positioning

Characteristics of GPS, BDS2, BDS3 and Galileo inter-system biases and their influence on RTK positioning

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