Optimal Observation Intervals for Clock Prediction Based on the Mathematical Model Method

Wu, Yiwei; Huang, Yangbo; Sun, Guangfu; Ou, Gang

doi:10.1109/tim.2015.2477158

Cited by 10 publications

(13 citation statements)

References 18 publications

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“…To determine the cause of the correlation, we simulated 4 H-masers at 3 different locations and calculated the correlation between two H-masers with the same environmental factors. Using the method described in [32][33][34][35][36][37], four H-masers are modeled as follows:…”

Section: Simulation and Discussionmentioning

confidence: 99%

The correlation of co-located hydrogen masers

Guo,

Wang,

et al. 2017

Preprint

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The correlation of co-located hydrogen masers (H-masers) is difficult to measure because their common-mode noise induced by the environment will be cancelled out during the comparison measurement. With the development of fibre-based high-precision time and frequency transfer technique, the correlation of co-located hydrogen masers can be directly measured with the help of remote Hmasers. Recently, a fiber-based frequency synchronization network was constructed in the Beijing region by connecting 5 H-masers from 4 institutions. The correlation coefficient of atomic clocks is defined and the correlation between two co-located H-masers is measured using both experimental and simulative methods. The results show that the correlation is not prominent until the averaging time is larger than ∼ 10 3 s; then, the coefficient grows rapidly for averaging times ranging from ∼ 10 3 s to ∼ 10 5 s and decreases beyond ∼ 10 5 s up to 5 days.

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Section: Simulation and Discussionmentioning

confidence: 99%

The correlation of co-located hydrogen masers

Guo,

Wang,

et al. 2017

Preprint

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“…According to the working principles of satellite clock, prediction uncertainty could be divided into certain part and random part when small periodic term was considered negligible. Based on the uncertainty transmission equation, the squared prediction uncertainty was expressed as (Wu et al 2016):…”

Section: Prediction Uncertainty Based On the Stochastic Differential ...mentioning

confidence: 99%

Advances in satellite atomic clock technologies for the GNSS

Fangneng,

Yifeng,

Jiangning

et al. 2023

Meas. Sci. Technol.

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High-precision time frequency lays a foundation for the normal operation and accurate service of the global navigation satellite system (GNSS). The satellite clock, a payload vital to GNSS operation, has become a hot topic in GNSS technology research. This paper gives a systematic introduction to the operation features and principles of satellite clock, and an overview of its research status and current development. On this basis, several techniques that deserve attention of the satellite clocks are categorized in terms of precise orbit determination and clock estimation, performance assessment and characteristic analysis, and clock offset prediction. On this basis, a comprehensive description and analysis is given separately. In the end, this paper gives some prospects over the development trend of techniques of the satellite clock based on the current research achievements and development of the GNSS.

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“…The mathematical model method [22] can be used to estimate and then remove the initial frequency difference. From [22], the optimal observation interval for estimating the frequency difference equals the one for which the Allan deviation is minimum, and optimal estimate uncertainty equals the minimum of the Allan deviation.…”

Section: B Impacts Of Initial Frequency Difference or Frequency Stepmentioning

confidence: 99%

“…From [22], the optimal observation interval for estimating the frequency difference equals the one for which the Allan deviation is minimum, and optimal estimate uncertainty equals the minimum of the Allan deviation. Therefore, for the H maser and Cs clock, in this paper, the estimate uncertainty of their frequency difference can be less than 1 × 10 −14 .…”

Section: B Impacts Of Initial Frequency Difference or Frequency Stepmentioning

confidence: 99%

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A DPLL Method Applied to Clock Steering

Gong

2016

IEEE Trans. Instrum. Meas.

Self Cite

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Several closed-loop control methods have dealt with clock steering problems, but parameters for these methods are not easy to choose. In this paper, we propose a new clock steering method, which uses a second-order type-2 digital phase-locked loop (DPLL) equivalent to a two-state Kalman filter with a delay. We derive the approximate expressions of the steady-state Kalman gains, which are equivalent to the DPLL gains. Then, we derive the transfer functions of the approximate DPLL. A brief and effective approach to choosing a parameter is also proposed. Simulation results show that the performance of the time steering error and the frequency stability is quite desirable, and can meet the requirements of generating a local representation of coordinated universal time or a global navigation satellite system time. IndexTerms-Clock steering, digital phase-locked loop (DPLL), frequency stability, Kalman filter, steering error.

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Optimal Observation Intervals for Clock Prediction Based on the Mathematical Model Method

Cited by 10 publications

References 18 publications

The correlation of co-located hydrogen masers

The correlation of co-located hydrogen masers

Advances in satellite atomic clock technologies for the GNSS

A DPLL Method Applied to Clock Steering

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