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Nonlinear Analysis of Phase-locked Loop-Based Circuits

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Discontinuity and Complexity in Nonlinear Physical Systems

Part of the book series: Nonlinear Systems and Complexity ((NSCH,volume 6))

Abstract

Main problems of simulation and mathematical modeling of high-frequency signals for analog Costas loop and for analog phase-locked loop (PLL) are considered. Two approachers which allow to solve these problems are considered. In the first approach, nonlinear models of classical PLL and classical Costas loop are considered. In the second approach, engineering solutions for this problems are described. Nonlinear differential equations are derived for both approaches.

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Notes

  1. 1.

    The functions with a finite number of jump discontinuity points differentiable on their continuity intervals

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Author information

Authors and Affiliations

  1. Best Engineering, Oberwil, Switzerland

    R. E. Best

  2. Saint Petersburg State University, St Petersburg, Russia

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

  3. University of Jyväskylä, Jyväskylä, Finland

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

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

Correspondence to N. V. Kuznetsov .

Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, Polytechnic Institute of Porto Institute of Engineering, Porto, Portugal

    J. A. Tenreiro Machado

  2. Faculty of Art and Sciences, Mathematics and Computer Sciences, Cankaya University, Ankara, Turkey

    Dumitru Baleanu

  3. Department of Mechanical Engineering, Southern Illinois University Edwardsville, Edwardsville, Illinois, USA

    Albert C J Luo

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Best, R.E., Kuznetsov, N.V., Leonov, G.A., Yuldashev, M.V., Yuldashev, R.V. (2014). Nonlinear Analysis of Phase-locked Loop-Based Circuits. In: Machado, J., Baleanu, D., Luo, A. (eds) Discontinuity and Complexity in Nonlinear Physical Systems. Nonlinear Systems and Complexity, vol 6. Springer, Cham. https://doi.org/10.1007/978-3-319-01411-1_10

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  • DOI: https://doi.org/10.1007/978-3-319-01411-1_10

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-319-01411-1

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