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Algorithm for Optimal Estimation of Appearance Times of Pulsed Signals in Discrete Time

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Radiophysics and Quantum Electronics Aims and scope

Abstract

Using the methods of optimal nonlinear Markov filtering, we obtain an algorithm for optimal mean-square estimation of appearance times of random pulsed variations in signal parameters against the background of white Gaussian noise in discrete time. Linear difference equations are used to describe signals, noise, and the observed processes. Equations of the algorithm permitting real-time calculations of the a posteriori variances and optimal estimations of pulse-appearance times are obtained in the approximation of Gaussian conditional probability densities. We present simulation results for algorithm operation in the particular problem of estimating the appearance times of two pulsed signals having the known shapes and observed against noise background.

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REFERENCES

  1. R. L. Stratonovich, Conditional Markov Processes and their Use in the Optimal Control Theory [in Russian], Moscow Univ. Press, Moscow (1966).

    Google Scholar 

  2. V. I. Tikhonov and N. K. Kul'man, Nonlinear Filtering and Quasicoherent Reception of Signals [in Russian], Sovetskoe Radio, Moscow (1975).

    Google Scholar 

  3. R. Sh. Liptser and A. N. Shiryaev, Statistics of Random Processes [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  4. A. A. Mal'tsev and A. M. Silaev, Izv. Vyssh. Uchebn. Zaved., Radiofiz., 32, No. 1, 62 (1989).

    Google Scholar 

  5. A. A. Mal'tsev and A. M. Silaev, Radiotekh. Élektron., 34, No. 5, 1023 (1989).

    Google Scholar 

  6. A. M. Silaev, “Methods for optimal processing of nonstationary random Markov signals with jump-like variations of parameters with pulsed perturbations,” D.Sc. Thesis, N. I. Lobachevsky State University, Nizhny Novgorod (1998).

    Google Scholar 

  7. A. V. Vanzha, A. A. Mal'tsev, and A. M. Silaev, Izv. Vyssh. Uchebn. Zaved., Radiofiz., 36, No. 6, 498 (1993).

    Google Scholar 

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Authors and Affiliations

  1. N. I. Lobachevsky State University, Nizhny Novgorod, Russia

    A. V. Korolev & A. M. Silaev

Authors
  1. A. V. Korolev
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  2. A. M. Silaev
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Korolev, A.V., Silaev, A.M. Algorithm for Optimal Estimation of Appearance Times of Pulsed Signals in Discrete Time. Radiophysics and Quantum Electronics 45, 230–238 (2002). https://doi.org/10.1023/A:1015971727173

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  • DOI: https://doi.org/10.1023/A:1015971727173

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