A GPS relative positioning quality control algorithm considering both code and phase observation errors

Shi, Junbo; Huang, Yongshuai; Ouyang, Chenhao

doi:10.1007/s00190-019-01254-w

Cited by 11 publications

(5 citation statements)

References 28 publications

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“…Based on the undifferenced observations, cycle slips are detected in the preprocessing stage [2]. It is helpful for the reliability of ambiguity resolution.…”

Section: Methodsmentioning

confidence: 99%

“…The undifferenced uncombined observations of the pseudorange and the carrier phase can be expressed as follows [19,20]: [2]. It is helpful for the reliability of ambiguity resolution.…”

Section: Dd Observation Modelmentioning

confidence: 99%

“…Fault detection and exclusion (FDE) is important for real-time kinematic (RTK) positioning since faults in measurements, including cycle slips, will affect the phase ambiguity estimation and positioning determination in the global navigation satellite systems (GNSS) community [1,2]. FDE was originally developed by the hypothesis testing theory [3,4], which can be used to reject possible faults and enhance positioning accuracy [5,6].…”

Section: Introductionmentioning

confidence: 99%

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A modified between‐receiver single‐difference‐based fault detection and exclusion algorithm for real‐time kinematic positioning

Gao

Yang

et al. 2022

IET Radar Sonar & Navi

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With the increasing number of available satellites from multi‐global navigation satellite systems (GNSS) and their applications in complicated environments, an increased number of faults in measurements are inevitable. Fault detection and exclusion (FDE) is an effective way to reject observation faults in order to guarantee the integrity of a GNSS positioning and navigation system. We propose a modified between‐receiver single‐differencing (SD)‐based FDE algorithm for real‐time kinematic (RTK) positioning. First, a modified between‐receiver SD model‐based FDE is proposed for testing the estimated float ambiguities. This is helpful in rejecting observations with unreliable float ambiguities and obtaining reliable double‐differencing (DD) integer ambiguities, denoted as the SD float model in the sequel. Second, DD ambiguities are resolved by the DD model and used to update the previous SD float ambiguity. After that, a modified SD fix model, taking the DD ambiguities as the known parameters, is further developed to detect any unreliable or fault‐resolved ambiguities. To verify the modified SD model‐based FDE algorithm, a kinematic vehicle test is conducted. The fault detection test statistics of the SD float model and the SD fix model, time‐to‐first‐fix, ambiguity‐fix rate, SD residuals, and positioning performances are examined. The results show that the modified FDE method can detect and exclude fault satellites accurately and effectively, which is verified by the SD residuals of fault satellites. The ambiguity‐fix rate of the proposed modified FDE algorithm is improved by approximately 3% with 70 more epochs of fixes. Regarding the 3D positioning performance, the modified proposed SD‐based FDE algorithm can achieve 54.11%, 57.78%, and 73.11% improvements for standard deviation, root mean square, and mean bias, respectively, when compared with the processing strategy without the use of the proposed FDE.

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“…Based on the undifferenced observations, cycle slips are detected in the preprocessing stage [2]. It is helpful for the reliability of ambiguity resolution.…”

Section: Methodsmentioning

confidence: 99%

“…The undifferenced uncombined observations of the pseudorange and the carrier phase can be expressed as follows [19,20]: [2]. It is helpful for the reliability of ambiguity resolution.…”

Section: Dd Observation Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A modified between‐receiver single‐difference‐based fault detection and exclusion algorithm for real‐time kinematic positioning

Gao

Yang

et al. 2022

IET Radar Sonar & Navi

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“…The correctly fixed ambiguity is the key to obtaining continuous high-precision positioning [26]. The robust estimation algorithm can effectively identify outliers, and the accuracy of the ambiguity solution can be improved [27]. In one study [28], the influence of non-line-of-sight errors was reduced by the robust estimation method, and the performance of the ambiguity resolution was improved in complex environments.…”

Section: Introductionmentioning

confidence: 99%

A Robust Algorithm for Multi-GNSS Precise Positioning and Performance Analysis in Urban Environments

et al. 2022

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In this paper, we propose a partial ambiguity method of global navigation satellite system (GNSS) reliable positioning based on a robust estimation model to address the problems of the low reliability and availability of GNSS positioning in urban complex environments. First, the high-precision observations selected on the basis of the signal-to-noise ratio (SNR) were used to solve ambiguities. Then, the fixed ambiguities were used as constraints to solve the ambiguities of low-quality observations. The robust estimation method was used to reduce the impact of outliers for the ambiguity solutions. The robust estimation was also used to solve the position parameters to reduce the influence of the residual errors and uncorrected ambiguities for GNSS high-accuracy positioning. Static and dynamic data were used to evaluate the proposed algorithm. These experiments show that the proposed algorithm with the robust estimation can reduce the fixed time of ambiguity initialization, compared with the conventional algorithm without the robust estimation. The positioning accuracy and solution rate are similar regardless of whether the robust estimation is used in the GNSS unblocked environment. In blocked environments, the solution rate improves to more than 99%, and the three-dimensional (3D) position accuracy improves by more than 70% when the robust estimation is used. When the observation number of simulated small gross error accounts for 40.91% of total observations, the centimeter-level positioning accuracy can still be obtained via several robust estimation models. In the urban blocked environment, the IGG (Institute of Geodesy and Geophysics) III scheme has a better performance than other robust schemes discussed in this paper with regard to the positioning performance and computational efficiency.

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“…Nevertheless, Yao and Wang (2020) pointed out that GF-IF and the STPIR method lose the ability to successfully detect insensitive cycle slip groups under high active ionospheric conditions. In addition, it is worth noting that Shi et al (2019) took the code observation error into account by adopting a posterior code residual check which was designed as a priority over the posterior phase residual check so that these cycle slips do not degrade positioning performance even if these cycle slips were not correctly detected in the pre-processing stage.…”

Section: Introductionmentioning

confidence: 99%

Real-time cycle slip detection and repair for BDS-3 triple-frequency and quad-frequency B1C/B1I/B3I/B2a signals

Wang¹

2021

Acta Geodynamica Et Geomaterialia

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This paper presents a real-time cycle slip detection and repair strategy for the BDS-3 triplefrequency and quad-frequency phase observations. For the triple-frequency phase observations, two EWL code-phase combinations and one GF-phase combination are jointly employed to detect and repair cycle slips. Based on the different performances in the success of cycle slip detection and repair, this paper uses GF-phase combinations to detect and repair cycle slip individually. Specifically, the GF-phase combination with a large MTIV value is applied to detect cycle slip possessing the stronger ability to resist ionospheric delay. Besides, the GF-phase combination with a higher success rate of cycle slip repair is selected to repair cycle slip, and the classic LAMBDA method and Ratio test are implemented to fix the cycle slip solution and evaluate reliability separately. For the quad-frequency phase observations, we employ a supernumerary EWL combination based on the triple-frequency, which can directly determine the cycle slip value of the 4 th frequency. The results show that the cycle slip estimation value still can detect and repair all real and artificially added cycle slips even under harsh conditions. Moreover, the overall cycle slip repair success rate is greater than 99.99 %.

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A GPS relative positioning quality control algorithm considering both code and phase observation errors

Cited by 11 publications

References 28 publications

A modified between‐receiver single‐difference‐based fault detection and exclusion algorithm for real‐time kinematic positioning

A modified between‐receiver single‐difference‐based fault detection and exclusion algorithm for real‐time kinematic positioning

A Robust Algorithm for Multi-GNSS Precise Positioning and Performance Analysis in Urban Environments

Real-time cycle slip detection and repair for BDS-3 triple-frequency and quad-frequency B1C/B1I/B3I/B2a signals

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