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Optimal detection of discontinuous changes of signal parameters in discrete time

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Abstract

The problem of optimal detection (discrimination) of signals with random discontinuous parameter changes in discrete time is examined. A recursion algorithm for calculation of the likelihood ratio in real time is obtained. As an example, the problem of optimal detection of a rectangular pulse signal with a random time of appearance, duration, and amplitude is solved. Computer simulation results are presented.

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References

  1. P. A. Bakut, I. A. Bol'shakov, V. M. Gerasimov, et al., in: Aspects of the Statistical Theory of Radar [in Russian, G. P. Tartakovskii (ed.)], Vol. 1, Sovet-skoe Radio, Moscow (1963).

    Google Scholar 

  2. V. G. Repin and G. P. Tartakovskii, Statistical Synthesis withA Priori Uncertainty and Adaptation of Information Systems [in Russian], Sovet-skoe Radio, Moscow (1977).

    Google Scholar 

  3. Yu. G. Sosulin, Theory of Detection and Estimation of Stochastic Signals [in Russian], Sovet-skoe Radio, Moscow (1978).

    Google Scholar 

  4. V. I. Tikhonov, Optimal Signal Reception [in Russian], Radio i Svyaz', Moscow (1983).

    Google Scholar 

  5. P. S. Akimov, P. A. Bakut, V. A. Bogdanovich, et al., Theory of Signal Detection [in Russian], P. A. Bakut (ed.)], Radio i Svyaz', Moscow (1984).

    Google Scholar 

  6. A. P. Trifonov and Yu. S. Shinakov, Joint Discrimination of Signals and Estimation of Their Parameters in a Noise Background [in Russian], Radio i Svyaz', Moscow (1986).

    Google Scholar 

  7. R. L. Stratonovich, Conditional Markov Processes and Their Application to Optimal-Control Theory [in Russian], Moscow State University (1966).

  8. R. Sh. Liptser and V. N. Shiryaev, Statistics of Random Processes (Nonlinear Filtering and Related Topics) [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  9. V. I. Tikhonov and N. K. Kul'man, Nonlinear Filtering and Quasi-Coherent Reception of Signals [in Russian], Sovet-skoe Radio, Moscow (1975).

    Google Scholar 

  10. A. A. Mal'tsev and A. M. Silaev, Radiotekh. Élektron.,32, No. 6, 1241 (1987).

    Google Scholar 

  11. A. A. Mal'tsev and A. M. Silaev, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,26, No. 2, 184 (1985).

    Google Scholar 

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Nizhni Novgorod State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 35, Nos. 11–12, pp. 938–951, November–December, 1992.

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Mal'tsev, A.A., Silaev, A.M. Optimal detection of discontinuous changes of signal parameters in discrete time. Radiophys Quantum Electron 35, 601–609 (1992). https://doi.org/10.1007/BF01046655

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  • DOI: https://doi.org/10.1007/BF01046655

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