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Computation of the phase detector characteristic of a QPSK Costas loop

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Abstract

For a QPSK Costas loop with a constant input frequency, the phase detector characteristic is analytically computed in the pull-in range. The performance analysis of this loop is reduced to the consideration of differential equations describing the Costas loop in the phase space for proportionality-integrating loop filters.

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Authors and Affiliations

  1. Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetskii pr. 28, Peterhof, St. Petersburg, 198504, Russia

    G. A. Leonov, N. V. Kuznetsov, M. V. Yuldashev & R. V. Yuldashev

  2. Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, V. O., Bol’shoi pr. 61, St. Petersburg, 199178, Russia

    G. A. Leonov

  3. University of Jyväskylä, P.O. Box 35, FI-40014, Mattilanniemi 2, Finland

    N. V. Kuznetsov

Authors
  1. G. A. Leonov
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  2. N. V. Kuznetsov
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  3. M. V. Yuldashev
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  4. R. V. Yuldashev
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Corresponding author

Correspondence to N. V. Kuznetsov.

Additional information

Original Russian Text © G.A. Leonov, N.V. Kuznetsov, M.V. Yuldashev, R.V. Yuldashev, 2016, published in Doklady Akademii Nauk, 2016, Vol. 468, No. 6, pp. 624–629.

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Leonov, G.A., Kuznetsov, N.V., Yuldashev, M.V. et al. Computation of the phase detector characteristic of a QPSK Costas loop. Dokl. Math. 93, 348–353 (2016). https://doi.org/10.1134/S1064562416030236

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  • DOI: https://doi.org/10.1134/S1064562416030236

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