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Volume 11 Issue 6
December  2014
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Roland E. Best, Nikolay V. Kuznetsov, Gennady A. Leonov, Marat V. Yuldashev and Renat V. Yuldashev. Simulation of Analog Costas Loop Circuits. International Journal of Automation and Computing, vol. 11, no. 6, pp. 571-579, 2014. https://doi.org/10.1007/s11633-014-0846-x
Citation: Roland E. Best, Nikolay V. Kuznetsov, Gennady A. Leonov, Marat V. Yuldashev and Renat V. Yuldashev. Simulation of Analog Costas Loop Circuits. International Journal of Automation and Computing, vol. 11, no. 6, pp. 571-579, 2014. https://doi.org/10.1007/s11633-014-0846-x
shu

Simulation of Analog Costas Loop Circuits

doi: 10.1007/s11633-014-0846-x

  • Best Engineering, Oberwil, Switzerland;

  • Department of Mathematical Information Technology, University of Jyväskylä, Jyväskylä FI-40014, Finland;

  • Department of Applied Cybernetics, Saint Petersburg State University, Saint Petersburg 198504, Russia

Funds:

This work was supported by Academy of Finland, Russian Ministry of Education and Science (Federal Target Program), and Russian Foundation for Basic Research and Saint-Petersburg State University.

  • Received Date: 2013-09-26
  • Rev Recd Date: 2013-10-11
  • Publish Date: 2014-12-20
    Abstract
  • The analysis of stability and numerical simulation of Costas loop circuits for the high-frequency signals is a challenging task. The problem lies in the fact that it is necessary to observe very fast time scale of input signals and slow time scale of signal's phases simultaneously. To overcome this difficulty, it is possible to follow the classical ideas of Gardner and Viterbi to construct a mathematical model of Costas loop, in which only slow time change of signal's phases and frequencies is considered. Such an construction, in turn, requires the computation of phase detector characteristic, depending on the waveforms of the considered signals. In this paper, the problems of nonlinear analysis of Costas loops and the approaches to the simulation of the classical Costas loop, the quadrature phase shift keying (QPSK) Costas loop, and the two-phase Costas loop are discussed. The analytical method for the computation of phase detector characteristics of Costas loops is described.

     

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