Online estimation of allan variance parameters

Journal of Guidance, Control, and Dynamics

Volumn 23, Issue 6, 2000, Pages 980-987

  Ford, Jason J ^a   Evans, Michael E ^a  

^a DEFENCE SCIENCE AND TECHNOLOGY ORGANISATION   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELEROMETERS; DATA STORAGE EQUIPMENT; GYROSCOPES; MATHEMATICAL MODELS; STATE SPACE METHODS;

ALLAN VARIANCE PARAMETERS; ONLINE ESTIMATION;

PARAMETER ESTIMATION;

EID: 0034317363     PISSN: 07315090     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.4666     Document Type: Article

References (22)

1. Titterton, D., and Weston, J., Strapdown Inertial Navigation Technology, Peter Peregrinus, London, 1997, pp. 1-54.
2. Lawrence, A., Modern Inertial Technology: Navigation, Guidance, and Control, Springer-Verlag, New York, 1993, pp. 4-19.
3. Allan, D., "Statistics of Atomic Frequency Standards," Proceedings of the IEEE, Vol. 54, No. 2, 1996, pp. 221-230.
4. Tehrani, M., "Cluster Sampling Technique for RLG Noise Analysis," Seventeenth Biennial Guidance Test Symposium, Central Inertial Guidance Test Facility, Holloman AFB, NM, May 1995, pp. 66-76.
5. Erickson, G., "An Overview of Dynamic and Stochastic Modeling of Gyros," Proceedings of the 1993 National Technical Meeting of the ION, Inst. of Navigation, 1993, pp. 339-351.
6. IEEE Standard Specification Format Guide and Test Procedure for Single-Axis Laser Gyros: IEEE STD 647-1995, Inst. of Electrical and Electronics Engineers, New York, 1996.
7. IEEE Standard Specification Format Guide and Test Procedure for Single-Axis Interferometric Fiber Optic Gyros: IEEE STD 952-1997, Inst. of Electrical and Electronics Engineers, New York, 1998.
8. Bielas, M., "Stochastic and Dynamic Modeling of Fiber Gyros," Proceedings of the SPIE - Fiber Optic and Laser Sensors XII, Vol. 2292, 1994, pp. 240-254.
9. Ng, L., and Pines, D., "Characterization of Ring Laser Gyro Performance Using the Allan Variance Method," Journal of Guidance, Control, and Dynamics, Vol. 20, No. 1, 1997, pp. 211-214.
10. Sargent, D., and Wyman, B., "Extraction of Stability Statistics from Integrated Rate Data," AIAA Guidance and Control Conf., Denvers, MA, Aug. 1980, pp. 88-94.
11. Ford, J., "Adaptive Hidden Markov Model Estimation and Applications," Ph.D. Dissertation, Dept. of Mechanical Engineering, Australian National Univ., Jan. 1998, Chap. 5.
12. Kumar, P., and Varaiya, P., Stochastic Systems: Estimation, Identification, and Adaptive Control, Prentice-Hall, Englewood Cliffs, NJ, 1986.
13. Söderström, T., and Stoica, P., System Identification, Prentice-Hall, New York, 1989.
14. Billingsley, P., Probability and Measure, 3rd ed., Wiley, New York, 1995, pp. 17-32, 85, 86.
15. Elliott, R., and Krishnamurthy, V., "Finite Dimensional Filters for ML Estimation of Discrete-Time Gauss-Markov Models," Proceedings of IEEE Conference on Decision and Control CDC97, Vol. 2, 1997, pp. 1637-1642.
16. McLachlan, G., and Krishnan, T., The EM Algorithm and Extensions, Wiley, New York, 1997, pp. 82-109.
17. Tehrani, M., "Ring Laser Gyro Data Analysis with Cluster Sampling Technique," Proceedings of SPIE - Fibre Optic and Laser Sensors, Vol. 412, Society of Photo-Optical Instrumentation Engineers, 1983, pp. 207-210.
18. Polyak, B., and Juditsky, A., "Acceleration of Stochastic Approximation by Averaging," SIAM Journal on Control and Optimization, Vol. 30, No. 4, 1992, pp. 838-855.
19. Ljung, L., and Söderström, T., Theory and Practice of Recursive Identification, MIT Press, Cambridge, MA, 1993, pp. 271-289.
20. Ljung, L., and Söderström, T., Theory and Practice of Recursive Identification, MIT Press, 1993, Chap. 4 and pp. 158-170.
21. Gerencsér, L., "Rate of Convergence of Recursive Estimators," SIAM Journal on Control and Optimization, Vol. 30, No. 5, 1992, pp. 1200-1227.
22. Kushner, H., and Yin, G. G., Stochastic Approximation Algorithms and Applications, Springer-Verlag, New York, 1997, Chap. 5.