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Mathematical model of the phase-locked loop with a current detector

  • Theory and Methods of Signal Processing
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Abstract

The mathematical model of the pulses phase-locked loop (PLL) with a frequency-phase detector and a current pump, which is represented as a set of difference and transcendental equations and relies on the dynamics of the given deterministic system (in the general case, an arbitrary-order loop filter) described by an automation with a finite number of components and combined differential equations, is examined. An algorithm describing the operation of the in-lock indicator of the given PLL is proposed. The particular cases of the first- and second-order loop filters are discussed. PLL simulation is performed under transient conditions.

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Authors and Affiliations

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

    B. I. Shakhtarin & A. A. Timofeev

  2. Moscow State University of Instrument Engineering and Informatics, ul. Stromynka 20, Moscow, 107966, Russia

    V. V. Sizykh

Authors
  1. B. I. Shakhtarin
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  2. A. A. Timofeev
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  3. V. V. Sizykh
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Corresponding author

Correspondence to B. I. Shakhtarin.

Additional information

Original Russian Text © B.I. Shakhtarin, A.A. Timofeev, V.V. Sizykh, 2014, published in Radiotekhnika i Elektronika, 2014, Vol. 59, No. 10, pp. 1033–1041.

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Shakhtarin, B.I., Timofeev, A.A. & Sizykh, V.V. Mathematical model of the phase-locked loop with a current detector. J. Commun. Technol. Electron. 59, 1061–1068 (2014). https://doi.org/10.1134/S1064226914100064

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  • DOI: https://doi.org/10.1134/S1064226914100064

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