Optimal calibration interval in case of integrated Brownian behavior: The example of a rubidium frequency standard

IEEE Transactions on Instrumentation and Measurement

Volumn 55, Issue 5, 2006, Pages 1713-1719

  Panfilo, Gianna ^a   Tavella, Patrizia ^a   Nunzi, Emilia ^b   Carbone, Paolo ^b   Petri, Dario ^c  

^a ISTITUTO ELETTROTECNICO NAZIONALE GALILEO FERRARIS   (Italy)

^b UNIVERSITY OF PERUGIA   (Italy)

^c UNIVERSITY OF TRENTO   (Italy)

Author keywords

Atomic clock errors; Atomic clock survival probability; Calibration intervals; Calibration reliability; Integrated Brownian motion; Simple response method

Indexed keywords

DEGRADATION; FREQUENCY RESPONSE; ITERATIVE METHODS; MATHEMATICAL MODELS; RANDOM PROCESSES; RUBIDIUM;

ATOMIC CLOCK ERRORS; ATOMIC CLOCK SURVIVAL PROBABILITY; CALIBRATION INTERVALS; CALIBRATION RELIABILITY; INTEGRATED BROWNIAN MOTION; SIMPLE RESPONSE METHOD;

BROWNIAN MOVEMENT;

EID: 33749347946     PISSN: 00189456     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIM.2006.880277     Document Type: Article

References (20)

1. Comité International des Poids et Mesures, Mutual Recognition of National Measurement Standards and of Calibration and Measurement Certificates Issued by National Metrology Institutes, Oct. 14, 1999, Paris, France.
2. ISO 9001:1994, Quality System: Model for Quality Assurance in Design, Development, Production, Installation and Servicing, 1994, Geneva, Switzerland: International Standardisation Organisation.
3. Organisation International de Metrologie Legal (OIML), Conseils Pour la Détermination des Intervalles de Réétallonage des Équipments de Mesure Utilisés Dans le Laboratoires D'essais, 1984, DI 10.
4. NCSL, Establishment and Adjustment of Calibration Intervals, Jan. 1996. Recommended Practice RP-1.
5. D. Wyatt and H. Castrup, "Managing calibration intervals," in Proc. NCSL Workshop & Symp., Albuquerque, NM, Aug. 1991.
6. A. Bobbio, P. Tavella, A. Montefusco, and S. Costamagna, "Monitoring the calibration condition of a measuring instrument by a stochastic shock model," IEEE Trans. Instr. Meas., vol. 46, no. 4, pp. 747-751, Aug. 1997.
7. L. di Piro, E. Perone, and P. Tavella, "Random walk and first crossing time: Applications in metrology," in Proc. 12th Eur. Freq. and Time Forum, Warsaw, Poland, Mar. 1998, pp. 388-391.
8. "Use of the modified Julian date by the standard frequency and the time signal services," CCIR Green Book, vol. VII, 1990.
9. L. Arnold, Stochastic Differential Equations: Theory and Applications. Malabar, FL: Krieger, 1992.
10. G. Panfilo, C. Zucca, and P. Tavella, "Stochastic processes for modeling and evaluating atomic clock behaviour," in Proc. Int. Conf. AMCTM, Torino, Italy, Sep. 9-11, 2003, pp. 229-239.
11. Advanced Mathematical and Computational Tools in Metrology, ser. Series on Advances in Mathematics for Applied Sciences vol. 66, vol. 6, P. Ciarlini, M. G. Cox, F. Pavese, and G. B. Rossi, Eds. Singapore: World Scientific, 2004, pp. 229-239.
12. G. Panfilo, C. Zucca, and P. Tavella, "How long does a clock error remain inside two threshold barriers? An evaluation by means of stochastic processes," in Proc. Joint Meeting 18th Eur. Frequency and Time Forum, Guilford, U.K., Apr. 5-7, 2004.
13. D. W. Allan, "Time and frequency (time-domain) characterization, estimation, and prediction of precision clocks and oscillators," IEEE Trans. Ultrason., Ferroelectr., Freq. Control, vol. UFFC-34, no. 6, pp. 647-654, Nov. 1987.
14. J. W. Chaffee, "Relating the Allan variance to the diffusion coefficients of a linear stochastic differential equation model for precision oscillators," IEEE Trans. Ultrason., Ferroelectr., Freq. Control, vol. UFFC-34, no. 6, pp. 655-658, Nov. 1987.
15. P. Carbone, "Performance of simple response method for the establishment and adjustment of calibration intervals," IEEE Trans. Instrum. Meas., vol. 53, no. 3, pp. 730-735, Jun. 2004.
16. D. Macii, P. Tavella, E. Perone, P. Carbone, and D. Petri, "Accuracy comparison between techniques for the establishment of calibration intervals: Application to atomic clocks," IEEE Trans. Instrum. Meas., vol. 53, no. 4, pp. 1167-1172, Aug. 2004.
17. E. Nunzi, G. Panfilo, P. Tavella, P. Carbone, and D. Petri, "Stochastic and reactive methods for the determination of optimal calibration intervals," in Proc. IMTC, Como, Italy, May 2004, pp. 106-109.
18. R. Kacker, N. F. Zhang, and C. Hagwood, "Real-time control of a measurement process," Metrologia, vol. 33, no. 5, pp. 433-445, Oct. 1996.
19. S. R. V. Kumar and K. Varadan, "Calibration interval," in Proc. 3rd Int. Conf. MMGT. New Delhi, India: National Physical Laboratory, Feb. 2001.
20. "Métrologie dans l'entreprise. Outil de la qualité," in Les Intervalles d'Etallonage et les Methodes de Surveillance des Processus de Mesure, P. Tavella and M. Priel, Eds. France: Association française de normalisation (AFNOR), 2003, Cap 6 (in French).