Abstract
The ways of estimating the inter-system bias (ISB) have an important influence on BDS/GPS combined precise point positioning (PPP). Ordinarily, in data processing, the precise ephemeris and clock offset from the Center for Orbit Determination in Europe (CODE), Deutsches GeoForschungsZentrum (GFZ), and Wuhan University (WHU), respectively, are applied to obtain the ISB products (\({\text{ISB}}_{\text{COD}}\), \({\text{ISB}}_{\text{GFZ}}\), and \({\text{ISB}}_{\text{WHU}}\)). Currently, in the case of BDS/GPS PPP, the ISB is generally considered to be a stable value in a given day and estimated as a constant. To better understand the mechanism underlying the generation of ISB in combined PPP, we deduce and establish the ISB estimation formulas and mathematical models and collect and process data from 19 multi-GNSS experimental stations. The results show that the ranges of \({\text{ISB}}_{\text{COD}}\) and \({\text{ISB}}_{\text{WHU}}\) at different times are within 0.3 m, while \({\text{ISB}}_{\text{GFZ}}\) can change up to 6.5 m. An interesting phenomenon is that the \({\text{ISB}}_{\text{GFZ}}\) for different stations has a similar variation trend in a day, and in some days, the ISBs of all stations show a linear trend which may mainly be influenced by satellite clock offset. In addition, the temporal stability of ISB is independent of receiver software version number and antenna type, while the receiver type has little influence on the stability of ISB. Therefore, it is reasonable to estimate \({\text{ISB}}_{\text{COD}}\) and \({\text{ISB}}_{\text{WHU}}\) as constant in a day and use a random walk to obtain \({\text{ISB}}_{\text{GFZ}}\). The results show that the convergence speed and accuracy of BDS/GPS PPP obtained by the random walk method are higher than those using the constant method, no matter whether \({\text{ISB}}_{\text{GFZ}}\), \({\text{ISB}}_{\text{COD}}\), or \({\text{ISB}}_{\text{WHU}}\) is used.
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Acknowledgements
The contribution of data from MGEX is appreciated. This research is supported by the Major Project of Beijing Future Urban Design Innovation Center, Beijing University of Civil Engineering and Architecture (UDC 2018031321), the National Science Foundation for Distinguished Young Scholars of China (Grant No. 41525014), the Natural Science Innovation Group Foundation of China (No. 41721003), the Major Technology Innovation Project of Hubei Province of China (2018AAA066), the Youth Fund of the National Natural Science Fund project (41704030), and the National Key Research and Development Program of China (2018YFC1503600).
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Liu, X., Jiang, W., Chen, H. et al. An analysis of inter-system biases in BDS/GPS precise point positioning. GPS Solut 23, 116 (2019). https://doi.org/10.1007/s10291-019-0906-3
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DOI: https://doi.org/10.1007/s10291-019-0906-3