Skip to main content
SpringerLink
Log in

Costas circuit under the action of additive harmonic interferences and wideband noise

  • Statistical Radiophysics
  • Published:
Journal of Communications Technology and Electronics Aims and scope Submit manuscript

Abstract

The Markovian mathematical model of the Kostas phase-locked loop subjected to the simultaneous actions of additive harmonic interferences and a white Gaussian noise, which are described by stochastic differential equations involving the influence of the low-pass filters of the control loop on the useful pulsed signal shape, is discussed. The statistical characteristics of the error signal are analyzed in the linear approximation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. P. Costas, Proc. IRE 44, 1713 (1956).

    Article  Google Scholar 

  2. D. Taylor, IEEE Proc. 90, 1459 (2002).

    Article  Google Scholar 

  3. J. B. Y. Tsui, Fundamentals of Global Positioning System Receivers: a Software Approach (Wiley, New York, 2000).

    Book  Google Scholar 

  4. F. M. Gardner, Phase-Lock Techniques (Wiley, New York, 2005).

    Book  Google Scholar 

  5. M. K. Simon and J. G. Smith, IEEE Trans. Commun. 22, 1576 (1974).

    Article  Google Scholar 

  6. W. C. Lindsey, Synchronization Systems in Communication and Control (Prentice-Hall, Englewood Cliffs, New Jersey, 1972; Sov. Radio, Moscow, 1978).

    Google Scholar 

  7. G. A. Leonov, N. V. Kuznetsov, M. V. Yuldashev, and R. V. Yuldashev, Dokl. Math. 86, 723 (2012).

    Article  MathSciNet  Google Scholar 

  8. B. I. Shakhtarin, J. Commun. Technol. Electron. 57, 588 (2012).

    Article  Google Scholar 

  9. B. I. Shakhtarin and A. Yu. Fomenko, Vestn. MGTU Im. N. Baumana, Ser. Priborostroenie, No. 2, 122 (2012).

    Google Scholar 

  10. B. I. Shakhtarin, Yu. A. Sidorkina, and I. A. Kul’kov, Vestn. MGTU Im. N. Baumana, Ser. Priborostroenie, No. 4, 123 (2014).

    Google Scholar 

  11. M. K. Simon and W. C. Lindsey, IEEE Trans. Commun. 25, 822 (1977).

    Article  Google Scholar 

  12. R. E. Ziemer, Rec. Nat. Telecommun. Conf., Houston, Dec. 4–6, 1972 (IEEE, New York, 1972).

    Google Scholar 

  13. V. S. Pugachev and I. N. Sinitsyn, Stochastic Differential Systems (Nauka, Moscow, 1985) [in Russian].

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Bauman Moscow State Technical University, Vtoraya Baumanskaya ul. 5, str. 1, Moscow, 105005, Russia

    Yu. A. Sidorkina & B. I. Shakhtarin

  2. Moscow Technological University (MIREA), pr. Vernadckogo 78, Moscow, 119454, Russia

    V. V. Sizykh & V. A. Shevtsev

Authors
  1. Yu. A. Sidorkina
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. V. Sizykh
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. B. I. Shakhtarin
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. V. A. Shevtsev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yu. A. Sidorkina.

Additional information

Original Russian Text © Yu.A. Sidorkina, V.V. Sizykh, B.I. Shakhtarin, V.A. Shevtsev, 2016, published in Radiotekhnika i Elektronika, 2016, Vol. 61, No. 7, pp. 671–680.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sidorkina, Y.A., Sizykh, V.V., Shakhtarin, B.I. et al. Costas circuit under the action of additive harmonic interferences and wideband noise. J. Commun. Technol. Electron. 61, 807–816 (2016). https://doi.org/10.1134/S106422691607010X

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S106422691607010X

Search

Navigation