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The Estimation of Parameters of Pulse Signals Having an Unknown Form That Are Observed against the Background of the Additive Mixture of the White Gaussian Noise and a Linear Component with Unknown Parameters

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Abstract

The algorithm estimating the parameters of pulse signals having an unknown form is suggested. The signals are observed against the background of the additive mixture of the white Gaussian noise and a linear component with unknown parameters. It is shown that the suggested approach based on using the contrast method, the moments method, and the properties of complete sufficient statistics provides for the estimate efficiency and does not require the a priori information about the form, time position, duration, and amplitude of the pulse signal, as well as about the parameters of the background component. The comparison with the algorithms oriented to the known form of the signal is performed.

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REFERENCES

  1. P. M. Woodward, Probability and Information Theory with Applications to Radar (McGraw-Hill, New York, 1953; Sovetskoe Radio, Moscow, 1955).

  2. V. I. Tikhonov, Statistical Radio Engineering, 2 ed. (Radio i Svyaz’, Moscow, 1982) [in Russian].

    Google Scholar 

  3. V. I. Tikhonov and V. N. Kharisov, Statistical Analysis and Synthesis of Wireless Devices and Systems: School Textbook for College (Radio i Svyaz’, Moscow, 1991) [in Russian].

    Google Scholar 

  4. H. L. Van Trees, Detection, Estimation and Modulation Theory, Part 1: Detection, Estimation, and Linear Modulation Theory (Wiley, New York, 1968; Nauka, Moscow, 1979) [in Russian].

  5. J. Sijber and A. J. den Dekker, Magn. Reson. Med. 51, 586 (2004).

    Article  Google Scholar 

  6. Li. Xinya, D. D. Zhiqun, L. Rauchenstein, and T. J. Carlson, Rev. Sci. Instrum. 87, 041502 ̶ 1 (2016).

  7. K. Rachpon, A. Laucht, J. P. Dehollain, et al., Rev. Sci. Instrum. 87, 073905 (2016).

    Article  Google Scholar 

  8. B. I. Ivanov, M. Grajcar, I. L. Novikov, A. G. Vostretsov, and E. Il’ichev, Tech. Phys. Lett. 42, 380 (2016).

    Article  Google Scholar 

  9. J. Sol’a, R. Vetter, Ph. Renevey, et al., Physiol. Meas. 30, 603 (2009).

    Article  Google Scholar 

  10. G. P. Succi, D. Clapp, R. Gampert, and G. Prado, Proc. SPIE Int. Soc. Opt. Eng. 4393, 22 (2001).

    Google Scholar 

  11. S. G. Filatova and A. A. Spektor, Avtometriya, No. 4, 68 (2008).

  12. M. V. Kurlenya, A. G. Vostretsov, G. I. Kulakov, and G. E. Yakovitskaya, Fiz.-Tekh. Probl. Razrab. Polez. Iskop., No. 4, 61 (1999).

  13. P. S. Akimov, P. A. Bakut, V. A. Bogdanovich, et al., Signal Detection Theory, Ed. by P. A. Bakut (Radio i Svyaz’, Moscow, 1984) [in Russian].

    Google Scholar 

  14. E. L. Lehman, Testing Statistical Hypotheses (Wiley, New York, 1959).

    Google Scholar 

  15. A. G. Vostretsov, J. Commun. Technol. Electron. 44, 512 (1999).

    Google Scholar 

  16. S. Zacks, The Theory of Statistical Inference (Wiley, New York, 1971).

    Google Scholar 

  17. A. A. Borovkov, Mathematical Statistics, Parameter Estimation, and Hypothesis Testing (Nauka, Moscow, 1984) [in Russian].

    Google Scholar 

  18. E. Zehavi, IEEE Trans. Aerosp. Electron. Syst. 20, 742 (1984).

    Article  MathSciNet  Google Scholar 

  19. Jingjing Pan, Meng Sun, Yide Wang, et al., Signal Proces. 176, 107654 (2020).

    Article  Google Scholar 

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Funding

This study was financially supported by the Ministry of Science and Higher Education of Russian Federation, project no. FSUN-2020-0007.

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Authors and Affiliations

  1. Novosibirsk State Technical University, 630073, Novosibirsk, Russia

    A. G. Vostretsov & S. G. Filatova

  2. Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, 630091, Novosibirsk, Russia

    A. G. Vostretsov

Authors
  1. A. G. Vostretsov
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  2. S. G. Filatova
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Corresponding author

Correspondence to A. G. Vostretsov.

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Translated by I. Efimova

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Vostretsov, A.G., Filatova, S.G. The Estimation of Parameters of Pulse Signals Having an Unknown Form That Are Observed against the Background of the Additive Mixture of the White Gaussian Noise and a Linear Component with Unknown Parameters. J. Commun. Technol. Electron. 66, 938–947 (2021). https://doi.org/10.1134/S106422692108009X

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  • DOI: https://doi.org/10.1134/S106422692108009X

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