Abstract
The filtration of MS-flux intensity in the presence of dead time is considered in the case when the controlling process is a diffusional Markov process with known drift and diffusion coefficients. Equations determining the evolution of thea posteriori probability density of the control-process values in the time intervals between the moments of onset of events of the observable flux are obtained, as well as a formula for thea posteriori probability density at those moments. Under the assumption of a Gaussiana posteriori probability density, a quasi-optimal filtration algorithm for the control process is synthesized.
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References
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Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 38–44, April, 1997.
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Fedosov, E.N. Nonlinear filtration of MS-flux intensity in the presence of dead time. Russ Phys J 40, 344–350 (1997). https://doi.org/10.1007/BF02508855
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DOI: https://doi.org/10.1007/BF02508855