000 02511nab a2200301 c 4500
001 vtls000618232
003 RU-ToGU
005 20210906221116.0
007 cr |
008 171220|2017 ii s a eng d
035 _ato000618232
040 _aRU-ToGU
_brus
_cRU-ToGU
245 1 0 _aDetection and measurement of the fast-fluctuating Gaussian random process dispersion abrupt change
_cO. V. Chernoyarov, M. Vaculik, A. V. Salnikova, L. A. Golpaiegani
504 _aБиблиогр.: 13 назв.
520 3 _aWe introduce the technically simple approach to the determination of the abrupt change of the unknown dispersion of the high-frequency fast-fluctuating Gaussian random process against white noise with an unknown spectral density. For this purpose, we determine new approximations of the decision statistics for various hypotheses, we carry out their maximization on unknown parameters, and we develop the block diagrams for the corresponding detector and measurer in the form of the comparatively simple single-channel units. For the analytical analysis of the performance of the synthesized algorithms, the asymptotically exact expressions for their characteristics, specifically - type I and type II error probabilities (when an abrupt change point is detected) and conditional biases and variances of the estimates (when measuring the parameters of the analyzed random process), are obtained by means of local Markov approximation method. We also illustrate a new procedure for determining the distribution law and the central moments of the estimate of the discontinuous parameter (abrupt change point), with an allowance of anomalous effects. The experimental testing of the presented theoretical results is implemented by the methods of statistical computer simulation.
653 _aслучайные процессы
653 _aмарковские процессы
655 4 _aстатьи в журналах
_9681159
700 1 _aChernoyarov, Oleg V.
_9167444
700 1 _aSalnikova, Alexandra V.
_9167445
700 1 _aGolpayegani, Leila A.
_9106690
700 1 _aVaculik, Martin
_9167446
773 0 _tInternational journal of control theory and applications
_d2017
_gVol. 10, № 32. P. 261-276
_x0974-5572
852 4 _aRU-ToGU
856 7 _uhttp://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000618232
908 _aстатья
999 _c71277