|
Home
|
Back to issue
|
ISSN 0474-8662. Information Extraction and Processing. 2017. Issue 45 (121)
The analytical model of measurement with GPS syncronization taking into account the stochastic effects
Bondarev A. P.
Lviv Polytechnic National University
Prystai A. M.
Lviv Center of the Institute for Space Research NAS and SSA of Ukraine
https://doi.org/10.15407/vidbir2017.45.038
Keywords: synchronization measurements, GPS synchronization, reference generator, stochastic model
Cite as: Bondarev A. P., Prystai A. M. The analytical model of measurement with GPS syncronization taking into account the stochastic effects. Information Extraction and Processing. 2017, 45(121), 38-49. DOI:https://doi.org/10.15407/vidbir2017.45.038
Abstract
A new structure for the diagram of measurements synchronization using GPS modules for two or more spaced stations is proposed. To simplify the modeling, a set of sources of GPS clock signals is replaced with a virtual reference generator with certain phase instability. The stochastic model is developed for synchronization of multiple devices. The cumulant and stochastic differential equations for the synchronization model are solved. The performed computation experiments made it possible to identify the model parameters, including loop gain, and factors of conversion and inertia of the loop. Implementation of the results into the structure of broadband magnetotelluric station LEMI-423 significantly reduced a measurement error produced by clock signal instability.
References
1. Broughton Edge, A. B.; Laby, T. H. The Principles and Practice of Geophysical Prospecting. Cambridge: University Press, 2012; p 404.
2. Prystai, A.; Korepanov, V.; Dudkin, F.; Ladanivskyy, B. Vector Magnetometer Application with Moving Carriers. Sensor & Transducer. 2016. 207 (12), 44-49.
3. Wlodarczyk, P.; Pustelny, S.; Budker, D.; Lipinski, M. Multi-Channel Data Acquisition System with Absolute Time Synchronization. Nucl. Instrum. Meth. 2014; A763, 150-154.
https://doi.org/10.1016/j.nima.2014.05.126
4. A Simplified GPS-Derived Frequency Standard. By: Bertrand Zauhar, VE2ZAZ. Published in the September/October 2006 issue of ARRL's QEX Magazine. http://ve2zaz.net/GPS_Std/GPS_Std.htm.
5. Wide Band Magnetotelluric Station for Field Survey LEMI-423 2016. - Lviv Centre of Institute for Space Research. http://www.isr.lviv.ua/lemi423.htm. (accesseed 2016)
6. Tikhonov, V.I.; Mironov, M.A. Markov processes. Sov. Radio: Moscow 1977; p 488. (in russian)
7. Yarlykov, M.S. Application of the Markov theory of nonlinear filtration in radio engineering. Sov. Radio: Moscow, 1980; p 360. (in russian)
8. Malakhov, A.N. Cumulant analysis of random non-Gaussian processes and their transformations. Sov. Radio: Moscow, 1978; p 376. (in russian)
9. Bondarev, A.P. Theoretical foundations of noise immunity analysis of synchronization devices. Radio electronics and telecommunications. 2004; 508, 3-18. (in Ukrainian)
10. Digital PLL circuit and its properties. (in Ukrainian) http://www.dsplib.ru/content/dpll/dpll.html (accessed 2017)
11. Bondarev, A.P. Nonlinear parametric synthesis of a tracking phase detector // Radioelectronics and informatics. 2006; 1 (32), 27-30. (in Ukrainian)