Features of construction of evaluation algorithms multidimensional random processes
https://doi.org/10.21122/2309-4923-2020-1-24-32
Abstract
The problem of evaluating the information which is present in random signals from various sources-meters is considered. It is assumed that the random process which is evaluated and the meter output according mathematical description of the problem are vector random processes. In this case, the dimension of the vector of the measurement can be larger than the dimension of the vector of the process being evaluated. The analysis of analytical methods and algorithms of the estimation that based on the determination of the main probabilistic characteristics of a random process by both the a priori and the a posteriori methods with various optimality criteria is carried out. Based on the analysis, the problem of complexing of the meters of the random process is considered according the proposed criterion for the maximum of posterior verisimilitude, combining the criterion of maximum verisimilitude and the criterion of maximum the a posteriori probability, general methodology complexing is developed. Proposed example of the complexing shows the efficiency of the proposed method. This approach to the construction of the algorithms of the evaluation for multidimensional random processes allows to increase the accuracy of estimation, since it takes into account additional information and its complex processing.
About the Authors
A. A. Lobaty
Belarusian National Technical University
Belarus
Belarus
Lobaty A. A., doctor of Science, Professor. From 2000 he heads of the department «Information Systems and Technologies»
Minsk
A. Y. Bumai
Belarusian National Technical University
Belarus
Belarus
Bumai A. Y., PhD student of « Information Systems and Technologies» department
Minsk
References
1. Krasovskij A. A. Handbook of the theory of automatic control / ed. A. A. Krasovskogo. – M.: Nauka, 1987. – 712 p.
2. Rogers R. M. Applied Mathematics in Integrated Navigation Systems, Third Edition / Robert M. Rogers – Reston: American Institute of Aeronautics and Astronautics, 2007. – 326 p. ISBN¬13: 978–1563479274
3. Aleshin B. S., Veremeenko K. K., Chernomorskij A. I. Orientation and navigation of moving objects: modern information technology / ed. B. S. Aljoshina, K. K. Veremeenko, A. I. Chernomorskogo. – M.: Fizmatlit, 2006. – 424 p.
4. Zipfel P. H. Modeling and Simulation of Aerospace Vehicle Dynamics, Third Edition / Peter H. Zipfel – Reston: American Institute of Aeronautics and Astronautics, 2014. – 661 p. ISBN¬13: 978–1624102509
5. Siouris G. M. Missile Guidance and Control Systems / George M. Siouris – Berlin: Springer Science+Business Media, 2006. – 666 p. ISBN 978–0–387–21816–8
6. Pugachev V. S. Theory of stochastic systems / V. S. Pugachev, I. N. Sinicyn. – M.: Logos, 2004. – 1000 p.
7. Lobaty A. A. Optimal estimation of a random process by the criterion of maximum a posteriori probability / A. A. Lobaty, Ju. F. Jacyna, N. N. Aref’ev // Sistemnyj analiz i prikladnaja informatika. – 2016. – № 1. – S. 35–41 p.
8. Sinicin I. N. Kalman and Pugachev filters / I. N. Sinicin. – M.: Universitetskaja kniga, 2006. – 640 p.
9. Lobaty A. A. Features of the application of Kalman¬Bucy filters in orientation and navigation systems / A. A. Lobaty, A. S. Benkafo // Doklady BGUIR. – 2013. – № 5(75). – S. 67–71 p.
10. Lobaty A. A. Step-by-step fuzzy correction of a random signal filtering algorithm / A. A. Lobatyj, A. S. Radkevich // Sistemnyj analiz i prikladnaja informatika. – 2019. – № 1. – S. 35–40 p.
11. Sage J. Theory of evaluation and its application in communication and management / J. Sage, J. Mels. – M.: «Svjaz’», 1976. – 496 p.
Review
For citations:
Lobaty A.A., Bumai A.Y. Features of construction of evaluation algorithms multidimensional random processes. «System analysis and applied information science». 2020;(1):24-32. (In Russ.) https://doi.org/10.21122/2309-4923-2020-1-24-32
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