Two-step method for the determination of the differential code biases of COMPASS satellites

Li, Zishen; Yuan, Yunbin; Li, Hui; Ou, Junfei; Huo, Xingliang

doi:10.1007/s00190-012-0565-4

Cited by 148 publications

(77 citation statements)

References 23 publications

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“…Unlike the GPS whose constellation consists only of Medium Earth Orbit (MEO) satellites, the BDS constellation is comprised of MEO, Geostationary Orbit (GEO) as well as Inclined Geosynchronous Orbit (IGSO) satellites (Montenbruck et al 2013). Nowadays, the use of the BDS to study the ionosphere is continuously expanding (Jin et al 2016;Li et al 2012;Tang et al 2014;Xue et al 2015;. …”

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confidence: 99%

On the short-term temporal variations of GNSS receiver differential phase biases

Zhang

Teunissen

Yuan

2016

J Geod

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Abstract. As a first step towards studying the ionosphere with the Global Navigation Satellite System (GNSS), leveling the phase to the code geometry-free observations on an arc-by-arc basis yields the ionospheric observables, interpreted as a combination of slant total electron content along with satellite and receiver Differential Code Biases (DCB). The leveling errors in the ionospheric observables may arise during this procedure, which, according to previous studies by other researchers, are due to the combined effects of the code multipath and the intra-day variability in the receiver DCB. In this paper we further identify the short-term temporal variations of receiver Differential Phase Biases (DPB) as another possible cause of leveling errors. Our investigation starts by the development of a method to epoch-wise estimate Between-Receiver DPB (BR-DPB) employing (inter-receiver) single-differenced, phase-only 2GNSS observations collected from a pair of receivers creating a zero or short baseline. The key issue for this method is to get rid of the possible discontinuities in the epoch-wise BR-DPB estimates, occurring when satellite assigned as pivot changes. Our numerical tests, carried out using GPS (Global Positioning System, US GNSS) and BDS (BeiDou Navigation Satellite System, Chinese GNSS) observations sampled every 30 seconds by a dedicatedly selected set of zero and short baselines, suggest two major findings. First, epoch-wise BR-DPB estimates can exhibit remarkable variability over a rather short period of time (e.g. 6 centimeters over 3 hours), thus significant from a statistical point of view. Second, a dominant factor driving this variability is the changes of ambient temperature, instead of the un-modelled phase multipath.

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confidence: 99%

On the short-term temporal variations of GNSS receiver differential phase biases

Zhang

Teunissen

Yuan

2016

J Geod

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“…The mapping matrix M is the obliquity factor for projecting zenith ionospheric error n z to the undifferenced slant ionospheric error as a function of ith elevation angle, i.e., Leick et al 2015;Li et al 2012), where R is the mean radius of the earth and h is the average height of the ionosphere layer. Inaccurate characterizations of ionospheric errors can affect the reliability of the ambiguity validation, so the zenith The ADOP values for four different ionosphere simulations are shown in Fig.…”

Section: Monte Carlo Simulation Results and Analysismentioning

confidence: 99%

Integrity monitoring-based ratio test for GNSS integer ambiguity validation

Yuan

et al. 2015

GPS Solut

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The combination of multiple global navigation satellite systems (GNSSs) is able to improve the accuracy and reliability, which is beneficial for navigation in safetycritical applications. Due to the relatively low accuracy of pseudorange observations, the single-epoch GNSS realtime kinematic (RTK) using phase observations can be utilized to achieve centimeter accuracy positioning instantaneously. Since the traditional ratio tests for ambiguity validation are not reliable in the presence of biases, it is therefore difficult for the single-epoch RTK to achieve high precision and high reliability, simultaneously. Instead of using an empirical constant detection threshold or a fixed failure/success rate requirement in the ratio tests for ambiguity validation, we propose an integrity monitoringbased ratio test (IM-RT). It uses the ambiguity protection level to control the false alarm and missed detection errors. The performance of the proposed method is tested by using simulated and real-world data. The simulation results show that the IM-RT can obtain an optimal balance between the false alarm and missed detection performance. The experiments from kinematic real-world data indicate that the IM-RT improves the positioning accuracy by over 10 cm and enhances the continuity by 11 %, when compared with the fixed detection threshold-based ratio test.

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“…This method is also effective since it does not require any externally provided information and is applicable even to QZSS that has, so far, launched only a single satellite. Due to its reliance upon zero or short baseline setup, this method might be more demanding than customary ones (see [23] and references therein), but on the other hand it retrieves BR-DCB estimates free of ionospheric leveling and/or modeling errors, thus serving our study best. When applying such a method to multi-GNSS data with a standard 30-s sampling rate collected by six continuously operating receivers from three manufactures, we get a large set of BR-DCB time-wise estimates that correspond to different receiver-pairs, frequency-pairs and constellations.…”

Section: Discussionmentioning

confidence: 99%

“…In fact, satellite DCBs have been found to remain fairly stable over considerable periods of time for different GNSS constellations [21,22]. This enables us to retrieve the satellite DCB estimates with rather high accuracy, particularly under calm ionospheric conditions [23,24]. After that, removal of the effect of the satellite DCBs on vTEC determination would become simple and straightforward.…”

Section: Introductionmentioning

confidence: 99%

Characterization of multi-GNSS between-receiver differential code biases using zero and short baselines

Zhang

Teunissen

2015

Science Bulletin

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Care should be taken to minimize adverse impact of receiver differential code biases (DCBs) on global navigation satellite system (GNSS)-derived ionospheric parameters. It is therefore of importance to ascertain the intrinsic characteristics of receiver DCBs, preferably in the context of new-generation GNSS. In this contribution, we present a method that enables time-wise retrieval of between-receiver DCBs (BR-DCBs) from dualfrequency, code-only measurements collected by a pair of co-located receivers. This method is applicable to the US GPS as well as to a new set of GNSS constellations including the Chinese BeiDou, the European Galileo and the Japanese QZSS. With the use of this method, we determine the multi-GNSS BR-DCB time-wise estimates covering a time period of up to 2 years (January 2013-March 2015) with a 30-s time resolution for five receiverpairs (four zero and one short baselines). For the BR-DCB time-wise estimates pertaining to an arbitrary receiver-pair and constellation, we demonstrate their promising intraday stability by means of statistical hypothesis testing. We also find that the BeiDou BR-DCB daily weighted average (DWA) estimates show a dependence on satellite type, in particular for receiver-pairs of mixed types. Finally, we demonstrate that long-term variability in BR-DCB DWA estimates can be closely associated with hardware temperature variations inside the receivers.

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Two-step method for the determination of the differential code biases of COMPASS satellites

Cited by 148 publications

References 23 publications

On the short-term temporal variations of GNSS receiver differential phase biases

On the short-term temporal variations of GNSS receiver differential phase biases

Integrity monitoring-based ratio test for GNSS integer ambiguity validation

Characterization of multi-GNSS between-receiver differential code biases using zero and short baselines

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