Modeling and performance analysis of precise time transfer based on BDS triple-frequency un-combined observations

Tu, Rui; Zhang, Pengfei; Zhang, Rui; Liu, Jinhai; Lu, Xiaochun

doi:10.1007/s00190-018-1206-3

Cited by 58 publications

(36 citation statements)

References 18 publications

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“…The stochastic model is determined according to measurement noise (

a_{A}

a_{B}

) and satellite elevation (

E_{A}, E_{B}

) as follows [19]:

\sum SPP = (][, \begin{matrix} 1em4pt \\ {()(, \frac{a_{A}}{\sin ()(, E_{A})})}^{2} & 0 \\ 0 & {()(, \frac{a_{B}}{\sin ()(, E_{B})})}^{2} \end{matrix})

The least‐squares method can be used for parameter estimation. If M satellites of system A and N satellites of system B are observed, there are

()(, M + N)

independent observation equations, and six parameters need to be estimated, namely, 3D coordinates ( x , y , z ), receiver clock bias

\bar{normald t_{r}^{A}}

, system time offset

normalΔ t_{sys}^{AB}

, and tropospheric delay T .…”

Section: Methodsmentioning

confidence: 99%

GNSS time offset monitoring based on the single difference among systems

Zhang

et al. 2020

IET Radar, Sonar & Navigation

Self Cite

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“…The stochastic model is determined according to measurement noise (

a_{A}

a_{B}

) and satellite elevation (

E_{A}, E_{B}

) as follows [19]:

\sum SPP = (][, \begin{matrix} 1em4pt \\ {()(, \frac{a_{A}}{\sin ()(, E_{A})})}^{2} & 0 \\ 0 & {()(, \frac{a_{B}}{\sin ()(, E_{B})})}^{2} \end{matrix})

The least‐squares method can be used for parameter estimation. If M satellites of system A and N satellites of system B are observed, there are

()(, M + N)

independent observation equations, and six parameters need to be estimated, namely, 3D coordinates ( x , y , z ), receiver clock bias

\bar{normald t_{r}^{A}}

, system time offset

normalΔ t_{sys}^{AB}

, and tropospheric delay T .…”

Section: Methodsmentioning

confidence: 99%

GNSS time offset monitoring based on the single difference among systems

Zhang

et al. 2020

IET Radar, Sonar & Navigation

Self Cite

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“…Therefore, it is complicated to evaluate the performance of the PPP time transfer due to the absence of an absolute standard for comparison. Hence, the Allan deviation (ADEV) was applied to obtain the frequency stability [12,15] and to further assess the performance of the single-system and multi-GNSS solutions. Figure 8 presents the frequency stability of the single-system and multi-GNSS solutions for four time links using COD products.…”

Section: Figurementioning

confidence: 99%

“…Furthermore, BDS PPP with the products released by international GNSS continuous Monitoring and Assessment System (iGMAS) was first investigated by Ge et al [11]. In addition, Tu et al [12] proposed a triple-frequency un-combined (UC) BDS PPP time transfer model. They indicated that the accuracy and stability of the triple-frequency UC-PPP model was identical to the ionosphere-free PPP model.…”

Section: Introductionmentioning

confidence: 99%

Performance of Multi-GNSS Precise Point Positioning Time and Frequency Transfer with Clock Modeling

Dai

Qin

et al. 2019

Remote Sensing

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Thanks to the international GNSS service (IGS), which has provided multi-GNSS precise products, multi-GNSS precise point positioning (PPP) time and frequency transfer has of great interest in the timing community. Currently, multi-GNSS PPP time transfer is not investigated with different precise products. In addition, the correlation of the receiver clock offsets between adjacent epochs has not been studied in multi-GNSS PPP. In this work, multi-GNSS PPP time and frequency with different precise products is first compared in detail. A receiver clock offset model, considering the correlation of the receiver clock offsets between adjacent epochs using an a priori value, is then employed to improve multi-GNSS PPP time and frequency (scheme2). Our numerical analysis clarify how the approach performs for multi-GNSS PPP time and frequency transfer. Based on two commonly used multi-GNSS products and six GNSS stations, three conclusions are obtained straightforwardly. First, the GPS-only, Galileo-only, and multi-GNSS PPP solutions show similar performances using GBM and COD products, while BDS-only PPP using GBM products is better than that using COD products. Second, multi-GNSS time transfer outperforms single GNSS by increasing the number of available satellites and improving the time dilution of precision. For single-system and multi-GNSS PPP with GBM products, the maximum improvement in root mean square (RMS) values for multi-GNSS solutions are up to 7.4%, 94.0%, and 57.3% compared to GPS-only, BDS-only, and Galileo-only solutions, respectively. For stability, the maximum improvement of multi-GNSS is 20.3%, 84%, and 45.4% compared to GPS-only, BDS-only and Galileo-only solutions. Third, our approach contains less noise compared to the solutions with the white noise model, both for the single-system model and the multi-GNSS model. The RMS values of our approach are improved by 37.8-91.9%, 10.5-65.8%, 2.7-43.1%, and 26.6-86.0% for GPS-only, BDS-only, Galileo-only, and multi-GNSS solutions. For frequency stability, the improvement of scheme2 ranges from 0.2 to 51.6%, from 3 to 80.0%, from 0.2 to 70.8%, and from 0.1 to 51.5% for GPS-only, BDS-only, Galileo-only, and multi-GNSS PPP solutions compared to the solutions with the white noise model in the Eurasia links.

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“…Guo et al [29] used the triple-frequency BDS signal to achieve better PPP performance than the dual-frequency ionospheric free PPP. Tu et al [30] proved that the triple-frequency BDS PPP can be applied to precise time transfer, and has the same positioning accuracy and stability as the dualfrequency ionospheric free PPP.…”

Section: Introductionmentioning

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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Modeling and performance analysis of precise time transfer based on BDS triple-frequency un-combined observations

Cited by 58 publications

References 18 publications

GNSS time offset monitoring based on the single difference among systems

GNSS time offset monitoring based on the single difference among systems

Performance of Multi-GNSS Precise Point Positioning Time and Frequency Transfer with Clock Modeling

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

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