Efficient predictive estimator for holdover In GPS-based clock synchronization

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

Volumn 55, Issue 10, 2008, Pages 2131-2139

  Shmaliy, Yuriy S ^a,b   Arceo Miquel, Luis ^a  

^a UNIVERSITY OF GUANAJUATO   (Mexico)

^b KHARKIV NATIONAL UNIVERSITY OF RADIO ELECTRONICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

CLOCKS; CONTROL SYSTEMS; FIR FILTERS; IMPULSE RESPONSE; MATHEMATICAL MODELS; MECHANICAL CLOCKS; POLYNOMIAL APPROXIMATION; POLYNOMIALS; SATELLITE NAVIGATION AIDS; WAVE FILTERS;

CLOCK SYNCHRONIZATIONS; CRITICAL PROPERTIES; CRYSTAL CLOCKS; EFFICIENT; FILTERING; FINITE IMPULSE RESPONSES; PAPER ADDRESSES; POLYNOMIAL FILTERS; POLYNOMIAL MODELS; REAL APPLICATIONS; TIME INTERVALS;

GLOBAL POSITIONING SYSTEM;

ALGORITHM; ARTICLE; GEOGRAPHIC INFORMATION SYSTEM; INSTRUMENTATION; METHODOLOGY; OSCILLOMETRY; SIGNAL PROCESSING; STATISTICAL ANALYSIS; TIME;

ALGORITHMS; DATA INTERPRETATION, STATISTICAL; GEOGRAPHIC INFORMATION SYSTEMS; OSCILLOMETRY; SIGNAL PROCESSING, COMPUTER-ASSISTED; TIME FACTORS;

EID: 54049156905     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/TUFFC.913     Document Type: Article

References (39)

1. S. M. Bass, P. Vlitas, and M. Garvey, "A redundant timing source for digital communication network synchronization," in Proc. 44th Annu. Symp. on Frequency Control, 1990, pp. 117-126.
2. J. Leviue, "Time synchronization over the Internet using au adaptive frequency-locked loop," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 46, no. 4, pp. 888-896, July. 1999.
3. Q. D. Hua, M. S. Williams, J. Evans, and M. A. Trippy, "Use of the NAVSTAR global positioning system (GPS) in the defence communications system (DCS)," in Proc. 1993 IEEE Int. Frequency Control Symp., pp. 40-44.
4. J. W. Pan, "Present and future of synchronization in the US telephone network," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 34, no. 6, pp. 629-638, Nov. 1987.
5. T. Iwata, M. Imae, T. Suzuyama, H. Murakami, and Y. Kawasaki, "Simulation and ground experiments of remote synchronization system for on-board crystal oscillator of Quazi-Zenith Satelite System," J. Inst Navig., vol. 53, no. 4, pp. 231-235, Winter 2006.
6. F. Tappero, T. Iwata, A. Dempster, M. Imae, T. Ikegami, Y. Fukuyama, A. Iwasaki, and K. Hagimoto, "Proposal for a novel remote synchronization system for the on-board crystal oscillator of the Quazi-Zenith Satelite System," J. Inst. Navig., vol. 53, no. 4, pp. 219-229, Winter 2006.
7. L. J. Rueger, J. R. Norton, and P. T. Lasewicz, "Long-term performance of precision crystal oscillators in a near-earth orbital environment," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 40, no. 5, pp. 528-531, Sept. 1993.
8. Timing Characteristics of Primary Reference Clocks, ITU-T Recommendation G.811, 1997.
9. Yu. S. Shmaliy, "The modulationsl method of quartz crystal oscillator frequency stabilization," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 45, no. 6, pp. 1476-1484, Nov. 1998.
10. Yu. S. Shmaliy, "Aging of the spectrum of natural vibrations of AT-cut vacuum quartz resonators," Tech. Phys., vol. 40, no. 7, pp. 677-680, July 1995.
11. Yu. S. Shmaliy, A. Ph. Kurotchka, E. G. Sokolinskiy, and A. V. Marieuko, "Quartz crystal oscillator with an effective aging rate compensation," in Proc. 12th Europ. Frequency and Time Forum, 1998, pp. 234-239.
12. Yu. S. Shmaliy, Continuous-Time Systems. Dordrecht: Springer, 2007.
13. A. Lepek, "Clock prediction and characterization," Metrologia, vol. 34, no. 5, pp. 379-386, Oct. 1997.
14. F. Vernotte, J. Delporte, M. Brunet, and T. Tournier, "Uncertainties of drift coefficients and extrapolation errors: Application to clock error prediction," Metrologia, vol. 38, no. 4, pp. 325-342, Aug. 2001.
15. S. Valiviita, S. J. Ovaska, and O. Vainio, "Polynomial predictive filtering in control instrumentation: A review," IEEE Trans. Ind. Electron., vol. 46, no. 5, pp. 876-888, Oct. 1999.
16. M. Kosaka, "Evaluation method of polynomial models' prediction performance for random clock error," J. Guid. Control Dyn., vol. 10, no. 6, pp. 523-527, Dec. 1987.
17. S. Y. Chen, C. Y. Yao, G. Xiao, Y. S. Ying, and W. L. Wang, "Fault detection and prediction of clocks and timers based on computer audition and probabilistic neural networks," Lect Notes Comput. Sci., vol. 3512, pp. 952-959, 2005.
18. X. Jiang and S. Horiguchi, "Statistical skew modeling for general clock distribution networks in presence of process variations," IEEE Trans. Very Large Scale Integr. (VLSI) Syst., vol. 9, no. 5, pp. 704-717, Oct. 2001.
19. J. Dellas and M. Schwartz, "The use of GPS (global positioning system) for synchronizing frequency converters," in Proc. 2001 IEEE/ASME Joint Railroad Conference, pp. 93-98.
20. P. Heinonen and Y. Neuvo, "FIR-median hybrid filters with predictive FIR structures," IEEE Trans. Acoust. Speech Signal Process., vol. 36, no. 6, pp. 892-899, Jun. 1988.
21. K. R. Johnson, "Optimum, linear, discrete filtering of signals containing a nonrandom component," IRE Trans. Inf. Theory, vol. 2, no. 2, pp. 49-55, Jun. 1956.
22. L. G. Bernier, "Use of the Allan deviation and linear prediction for the determination of the uncertainty on time calibrations against predicted timescales," IEEE Trans. Instrum. Meas., vol. 52, no. 2, pp. 483-486, Apr. 2003.
23. G. Busca and Q. Wang, "Time prediction accuracy for space clock," Metrologia, vol. 40, no. 3, pp. S265-S269, June 2003.
24. J. Makhoul, "Linear prediction: A tutorial review," Proc. IEEE, vol. 63, no. 4, pp. 561-580, Apr. 1975.
25. J. A. Barnes, R. H. Jones, P. V. Tryon, and D. W. Allan, "Stochastic models for atomic clocks," in Proc. 14th Annu. PTTI Mtg., 1982 pp. 295-306.
26. S. R. Stein and R. L. Filler, "Kalman filter analysis for real time applications of clocks and oscillators," in Proc. 42th Annu. Frequency Control Symp., 1988, pp. 447-452.
27. S. Zhu, "Optimum precise-clock prediction and its applications," in Proc. 1997 IEEE Int. Frequency Control Symp., pp. 412-417.
28. Yu. S. Shmaliy, A. V. Marienko, and A. V. Savchuk, "GPS-based optimal Kalman estimation of time error, frequency offset, and aging," in Proc. 31st Annu. PTTI Mtg., 1999, pp. 431-440.
29. C. Greenhall, "Kalman plus weights: A time scale algorithm," in Proc. 33rd Annu. PTTI Mtg., 2001, pp. 445-454.
30. R. J. Fitzgerald, "Divergence of the Kalman filter," IEEE Trans. Automat. Contr., vol. AC-16, no. 6, pp. 736-747, Dec. 1971.
31. O. K. Kwon, W. H. Kwon, and K. S. Lee, "FIR filters and recursive forms for discrete-time state-space models," Automatica, vol. 25, no. 5, pp. 715-728, Sep. 1989.
32. W. H. Kwon, P. S. Kim, and S. H. Han, "A receding horizon unbiased FIR filter for discrete-time state space models," Automatica, vol. 38, no. 3, pp. 545-551, Mar. 2002.
33. W. H. Kwon, P. S. Kim, and P. Park, "A receding horizon Kalman FIR filter for discrete time-invariant systems," IEEE Trans. Automat. Contr., vol. 44, no. 9, pp. 1787-1791, Sept. 1999.
34. W. H. Kwon and S. Han, Receding Horizon Control: Model Predictive Control for State Models. London, Springer, 2005.
35. Yu. S. Shmaliy, "Au unbiased FIR filter for TIE model of a local clock in applications to GPS-based timekeeping," IEEE Trans. Ultrason., Ferroelect, Freq. Contr., vol. 53, no. 5, pp. 862-870, May 2006.
36. I. Gradshtein and I. Ryzhik, Table of Integrals, Series and Products. New York: Academic Press, 1994.
37. T. G. Campbell and Y. Neuvo, "Predictive FIR filters with low computational complexity," IEEE Trans. Circ. Syst., vol. 38, no. 9, pp. 1067-1071, 1991.
38. Yu. S. Shmaliy, "A simple optimally unbiased MA filter for time-keeping," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 49, no. 6, pp. 789-797, Jun. 2002.
39. Yu. S. Shmaliy, O. Ibarra-Manzano, L. Arceo-Miquel, and J. Muñoz-Diaz, "Au analysis of sawtooth noise in the timing SynPaQ III GPS sensor," Sensors & Transducers J., vol. 79, no. 5, pp. 1151-1156, May 2007.