A calculation method for GNSS positioning precision based on the posteriori unit weight variance
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Yifan Zheng
,
Xianwen Yu
and
Jiafu Wang
Abstract
The precision index is the primary basis for judging the GNSS positioning result, and the positioning mean error is usually used as the precision index in practical applications. In order to solve the problem of mismatch between positioning deviation and mean error in the priori situation, this paper proposed a positioning precision calculation method based on the posteriori unit weight variance and deduced the formulas combining sequential adjustment or Kalman filter, respectively. This method uses the characteristic that there are system errors in error corrections to calculate and screen the posterior unit weight variance. This method introduces the system error’s influence into the mean error, which can improve positioning precision. The application of static difference and RTK proved that this method has remarkable effects, which can significantly alleviate the problem of false high precision and improve the reliability of positioning mean errors.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 41674035
Award Identifier / Grant number: 41974030
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Author contribution: Y. Zheng and X. Yu designed the research; Y. Zheng Performed the research and wrote the paper; J. Wang gave helpful suggestions during the researching process. X. Yu gave helpful suggestions during the writing process and provided final approval of the version to be published.
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Research funding: This research is sponsored by the National Natural Science Foundation of China (41974030; 41674035).
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Conflict of interest statement: The authors have no conflicts of interest to declare that are relevant to the content of this article. .
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Availability of data and material: The baseline observation data is available publicly from Hong Kong CORS center (http://www.geodetic.gov.hk/sc/index.htm).
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Code availability: Not applicable.
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Articles in the same Issue
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Articles in the same Issue
- Frontmatter
- Review
- Investigation of the trade-off between the complexity of the accelerometer bias model and the state estimation accuracy in INS/GNSS integration
- Original Research Articles
- Solution for ill-posed EIV model regularization attending to its decreasing regularization characteristic
- Trajectory evaluation using repeated rail-bound measurements
- Global geopotential models evaluation based on terrestrial gravity data over Ethiopia
- A calculation method for GNSS positioning precision based on the posteriori unit weight variance
- Accuracy and reliability of BeiDou clocks
- Positioning performance with dual-frequency low-cost GNSS receivers
- Estimating 3D displacement vectors from line-of-sight observations with application to MIMO-SAR
- Determination of the height reference surface for the Republic of Albania by using global geopotential models
- An integrated adaptive Kalman filter for improving the reliability of navigation systems
