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Detecting an Unknown Abrupt Change in the Band Center of the Fast-Fluctuating Gaussian Random Process Cover

Detecting an Unknown Abrupt Change in the Band Center of the Fast-Fluctuating Gaussian Random Process

Open Access
|Aug 2020

References

  1. [1] Kligene, N., Tel’ksnis, L. (1983). Methods to determine the times when the properties of random processes change. Automation and Remote Control, 41 (11), 1241-1283.
  2. [2] Basseville, M., Nikiforov, I.V. (1993). Detection of Abrupt Changes: Theory and Application. Prentice-Hall.
  3. [3] Hanus, R., Kowalczyk, A., Chorzepa, R. (2018). Application of conditional averaging to time delay estimation of random signals. Measurement Science Review, 18 (4), 130-137.10.1515/msr-2018-0019
  4. [4] Konev, V., Vorobeychikov, S. (2017). Quickest detection of parameter changes in stochastic regression: Nonparametric CUSUM. IEEE Transactions on Information Theory, 63 (9), 5588-5602.10.1109/TIT.2017.2673825
  5. [5] Tartakovsky, A.G. (2019). Asymptotic optimality of mixture rules for detecting changes in general stochastic models. IEEE Transactions on Information Theory, 65 (3), 1413-1429.10.1109/TIT.2018.2876863
  6. [6] Chernoyarov, O.V., Marcokova, M., Salnikova, A.V., Maksimov, M.I., Makarov, A.A. (2019). Measuring the moment and the magnitude of the abrupt change of the Gaussian process bandwidth. Measurement Science Review, 19 (7), 250-256.10.2478/msr-2019-0032
  7. [7] Van Trees, H.L., Bell, K.L., Tian, Z. (2013). Detection, Estimation, and Modulation Theory, Part I: Detection, Estimation, and Filtering Theory, Second Edition. Wiley.
  8. [8] Trifonov, A.P., Nechaev, E.P., Parfenov, V.I. (1991). Detection of Stochastic Signals with Unknown Parameters. Voronezh, USSR: Voronezh State University. (in Russian)
  9. [9] Chernoyarov, O.V., Vaculik, M., Shirikyan, A., Salnikova, A.V. (2015). Statistical analysis of fast fluctuating random signals with arbitrary-function envelope and unknown parameters. Communications – Scientific Letters of the University of Zilina, 17 (1A), 35-43.10.26552/com.C.2015.1A.35-43
  10. [10] Chernoyarov, O.V., Sai Si Thu Min, Salnikova, A.V., Kuba, M. (2014). Detection and estimation of abrupt changes in Gaussian random processes with unknown parameters. In 10th International Conference ELEKTRO 2014. IEEE, 46-51.10.1109/ELEKTRO.2014.6847869
  11. [11] Chernoyarov, O.V., Shahmoradian, M.M., Salnikova, A.V., Buravlev, I.A. (2017) Detection and measurement of the abrupt change of the power parameters of the fast-fluctuating Gaussian random process. In Proceedings of the 2017 2nd International Conference on Modelling, Simulation and Applied Mathematics (MSAM2017), AISR 132. Atlantis Press, 164-168.10.2991/msam-17.2017.37
  12. [12] Chernoyarov, O.V., Dobrucky, B., Salnikova, A.V., Makarov, A.A. (2019). Detection and measurement of the unknown moment and magnitude of the Gaussian random process energy parameters abrupt change. International Review on Modelling and Simulations, 12 (5), 264-280.10.15866/iremos.v12i5.17839
  13. [13] Kuphaldt, T.R. (2012). Lessons in Electric Circuits, Vol. 2: Alternate Current. Koros Press.
  14. [14] Dynkin, E.B. (2006). Theory of Markov Processes. Dover Publications.
  15. [15] Chernoyarov, O.V., Salnikova, A.V., Golpaiegani, L.A. (2017). On probability of the Gaussian random processes crossing the barriers. In 2017 3rd International Conference on Frontiers of Signal Processing. IEEE, 1-7.
  16. [16] Kutoyants, Y.A. (1994). Identification of Dynamical Systems with Small Noise. Springer.10.1007/978-94-011-1020-4
  17. [17] Kailath, T. (1966). Some integral equations with nonrational kernels. IEEE Transactions on Information Theory, 12 (4), 442-447.10.1109/TIT.1966.1053925
  18. [18] Chernoyarov, O.V., Sai Si Thu Min, Salnikova, A.V., Shakhtarin, B.I., Artemenko, A.A. (2014). Application of the local Markov approximation method for the analysis of information processes processing algorithms with unknown discontinuous parameters. Applied Mathematical Sciences, 8 (90), 4469-4496.10.12988/ams.2014.46415
  19. [19] Zakharov, A.V., Pronyaev, E.V., Trifonov, A.P. (2001). Detection of step random disturbance. Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya, (7), 29-37.
  20. [20] Altug, Y., Wagner, A.B. (2012). Source and channel simulation using arbitrary randomness. IEEE Transactions on Information Theory, 58 (3), 1345-1360.10.1109/TIT.2011.2178136
  21. [21] Chernoyarov, O.V., Salnikova, A.V., Makarov, A.A. (2019). Simulation of the measurer of the time of appearance and the average power of the random pulse signal. In 2019 5th International Conference on Frontiers of Signal Processing. IEEE, 105-110.10.1109/ICFSP48124.2019.8938058
  22. [22] Garro, U., Muxika, E., Aizpurua, J.I., Mendicute, M. (2020). FPGA-based stochastic activity networks for online reliability monitoring. IEEE Transactions on Industrial Electronics, 67 (6), 5000-5011.10.1109/TIE.2019.2928244
Language: English
Page range: 187 - 195
Submitted on: Jun 4, 2020
Accepted on: Aug 10, 2020
Published on: Aug 24, 2020
Published by: Slovak Academy of Sciences, Institute of Measurement Science
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2020 Oleg Chernoyarov, Tatiana Demina, Yuri Kabanov, Alexander Makarov, published by Slovak Academy of Sciences, Institute of Measurement Science
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.