GPS satellite inter-frequency clock bias estimation using triple-frequency raw observations

Fan, Lei; Shi, Chuang; Li, Min; Wang, Cheng; Zheng, Fu; Jing, Guifei; Zhang, Jun

doi:10.1007/s00190-019-01310-5

Cited by 27 publications

(16 citation statements)

References 41 publications

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“…The time-dependent UCDs of GPS satellites will cause systematic errors of several centimeters when the estimated ambiguities are sufficiently accurate and it is inappropriate to ignore the GPS time-dependent UCDs [40]. Considering the official GPS satellite IFCBs products haven't been released, we assigned stochastic properties to the float ambiguities so that they can absorb the timedependent part of the UCDs [41,42]. Taking PTGG station (doy 245) on September 1, 2020 as an example, Fig.…”

Section:  =mentioning

confidence: 99%

Performance Assessment of Positioning Based on Multi-Frequency Multi-GNSS Observations: Signal Quality, PPP and Baseline Solution

Qian

et al. 2021

IEEE Access

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Section:  =mentioning

confidence: 99%

Performance Assessment of Positioning Based on Multi-Frequency Multi-GNSS Observations: Signal Quality, PPP and Baseline Solution

Qian

et al. 2021

IEEE Access

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“…( 5). Detailed descriptions of this reparameterization process can refer to authors' previous study (Fan et al 2019).…”

Section: Independent Satellite Ifcb Estimation Based On Igs Clock Datummentioning

confidence: 99%

“…First, by introducing IGS orbit and clock products, a set of independent satellite CIFCBs and PIFCBs are estimated from the multifrequency uncombined model. This uncombined model was validated by GPS triple-frequency data in authors' previous study (Fan et al 2019). Then, a linear equation between IFCBs from any three frequencies and those independent estimates is derived, so that all CIFCBs and PIFCBs from different frequencies are consistent with the IGS clocks.…”

Section: Introductionmentioning

confidence: 99%

“…It should be noted that providing additional satellite clock results in low data processing efficiency because the number of parameters to be estimated is significantly increased, especially when multi-frequency data are processed simultaneously. Instead of estimating extra satellite clock offset, Fan et al (2019) developed an alternative approach to estimate GPS satellite IFCB in the uncombined model by considering the highaccuracy IFCB modeling. In this scheme, the IGS satellite orbit and clock products are introduced to ensure that both satellite PIFCB and CIFCB estimates are consistent with the IGS clocks.…”

Section: Introductionmentioning

confidence: 99%

“…From the above discussion, it is concluded that the uncombined model provides a better way to realize an overall estimation of both satellite PIFCB and CIFCB which are consistent with the IGS clocks. However, the uncombined model for IFCB or DCB estimation and correction was merely validated by triple-frequency data in previous studies (Guo and Geng 2017;Liu et al 2018;Pan et al 2018a, b;Fan et al 2019;Gu et al 2020). When data on more than three frequencies are considered, numerous IFCBs that can be formed from any three frequencies are not unified in the uncombined model.…”

Section: Introductionmentioning

confidence: 99%

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GNSS satellite inter-frequency clock bias estimation and correction based on IGS clock datum: a unified model and result validation using BDS-2 and BDS-3 multi-frequency data

Fan

Wang

Guo

et al. 2021

J Geod

Self Cite

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To deal with inconsistency between Global Navigation Satellite System (GNSS) multi-frequency data and International GNSS Service (IGS) clock product, we propose a unified model for GNSS satellite inter-frequency clock bias (IFCB) estimation and correction based on the IGS clock datum. The proposed model is rigorously derived by three sequential steps. First, by means of accurate modeling of the time-variant part of satellite phase-based IFCB (PIFCB) and introducing a zero-mean condition for satellite code-based IFCB (CIFCB), a set of independent satellite IFCBs are estimated in a full-rank multi-frequency uncombined model where IGS orbit and clock products are taken as input. The independent satellite IFCB refers to hardware delay difference between a specified frequency and two reference frequencies that are used for generating the IGS product. In the second step, a linear equation between satellite IFCBs from any three frequencies and the independent satellite IFCB estimates is derived. Based on this equation, the third step aims to establish a general satellite IFCB correction model which is used to align data on any two frequencies to the IGS clocks. The proposed model is implemented and validated using one month of multi-frequency data from BeiDou regional system (BDS-2) and BeiDou global system (BDS-3), i.e., B1I, B2I, B3I, B1C, B2a and B2b. By choosing B1I and B3I as reference frequencies, periodic analysis results suggest that a second-order periodic function is suitable for modeling BDS-2 independent satellite PIFCB variations. Yet there is no need to introduce periodic function into BDS-3 independent satellite PIFCB variations at all frequencies. For observation types of 1X (B1C), 5X (B2a) and 7Z (B2b), the standard deviation (STD) of three independent CIFCB estimates at each BDS-3 new frequency (i.e., B1C, B2a and B2b) and one CIFCB from the three new frequencies for all BDS-3 satellites are 3.14, 0.09, 0.12 and 0.09 ns, while those for the observation types of 1P (B1C), 5P (B2a) and 7D (B2b) are 2.52, 0.08, 0.08 and 0.04 ns, respectively. A major reason for the large noise of the independent satellite CIFCB at frequency B1C is that the frequency value of B1C is very close to that of B1I. Using the satellite IFCB estimates as corrections, the average RMS of kinematic precise point positioning (PPP) errors using ionosphere-free combination of BDS-3 multi-frequency data is 2.7 and 5.0 cm on horizontal and up directions, respectively, showing a same level with that of B1I/B3I-based PPP. In comparison, the accuracy of PPP is decreased by several millimeters during convergence when the differential code bias (DCB) product is used for correction. Keywords BDS-2 • BDS-3 • Inter-frequency clock bias • Multi-frequency • Uncombined model • Differential code bias B Cheng Wang

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Satellite antenna phase center errors: magnified threat to multi-frequency PPP ambiguity resolution

Geng

Guo

Wang

et al. 2021

J Geod

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GPS satellite inter-frequency clock bias estimation using triple-frequency raw observations

Cited by 27 publications

References 41 publications

Performance Assessment of Positioning Based on Multi-Frequency Multi-GNSS Observations: Signal Quality, PPP and Baseline Solution

Performance Assessment of Positioning Based on Multi-Frequency Multi-GNSS Observations: Signal Quality, PPP and Baseline Solution

GNSS satellite inter-frequency clock bias estimation and correction based on IGS clock datum: a unified model and result validation using BDS-2 and BDS-3 multi-frequency data

Satellite antenna phase center errors: magnified threat to multi-frequency PPP ambiguity resolution

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