Abstract

To resolve the dilemma in any post-processing strategy, i.e., the difficulty of monitoring the real-time time and frequency signals in a timely manner, real-time GPS time and the frequency transfer have recently become trending topics. Unfortunately, data interruption occurs when conducting real-time time transfer, sometimes from unexpected reasons. In this study, to ensure the stability and precision of real-time time transfer, an adaptive prediction model and a between-epoch constraint receiver clock model are applied as the mathematic models. The purpose of prediction is to solve the ambiguity from re-convergence when the data reappear. Moreover, compared to the conventional method, the between-epoch constraint receiver clock model is employed in this study to consider the correlation of epoch-wise clock parameters to avoid wasting useful information. The simulation data and real data are compared to verify the performance of the new approach. The simulation data for 165 days are designed with random daily interruptions of 10, 30, 60 and 90 min. Real data from 12 days is captured from the incomplete data in routine observation records. Ignoring the simulation data and real data, the investigation of six stations shows that the results with the between-epoch constraint receiver clock model were smoother than those with a white noise model. With an adaptive prediction model and the between-epoch constraint receiver clock model, the simulation results illustrate that the average root mean squares (RMS) values of all the stations are significantly reduced, i.e., by 66.03% from 0.43 to 0.14 ns, by 64.91% from 0.44 to 0.15 ns, by 57.47% from 0.43 to 0.18 ns, and by 51.67% from 0.44 to 0.21 ns for the 10, 30, 60 and 90 min data interruptions, respectively. The stability of all the stations is improved by at least 50%. The improvement increases to 100% for short-term stability. The real results show that the stability of four links is boosted by at least 5%. The model proposed in this paper is more effective in producing short-term stability than long-term stability.

Highlights

  • Since its first application in 1980, the global positioning system (GPS) has been recognized as an efficient tool for time and frequency transfer [1]

  • There has been no body of literature investigating the problem. These deficiencies of previous studies are the main drivers of this contribution, in which we demonstrate the efficiency of the clock model for instantly recovering clock offset, avoiding re-convergence when there is a data discontinuity in the RT-precise point positioning (PPP) time transfer data processing

  • Considering the root mean squares (RMS) values of the prediction error, they follow an order of increasing trend when the prediction period ranges from 10 min to 90 min, thereby indicating that our approach for short-term data interruption will obtain better results, but that this is not the case for long-term data interruption

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Summary

Introduction

Since its first application in 1980, the global positioning system (GPS) has been recognized as an efficient tool for time and frequency transfer [1]. Due to the high-precision of the carrier phase measurement, the techniques. Sci. 2019, 9, 1405 based on code observations no longer provide the optimal time transfer solutions. Another approach, which could improve TAI (International Atomic Time) time links and TAI computation, was proposed in 2006 [3]; it is referred to as the carrier phase (CP) technique. By virtue of the precise orbit and clock products distributed freely and routinely by the IGS (International GNSS Service), precise point positioning (PPP) is one of the most promising time comparison techniques available, primarily because of its high-accuracy, cost-effectiveness, and global coverage [3,4,5]. The statistical uncertainty is approximately 0.3 ns for PPP links in BIPM circular

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