Abstract
The Costas loop circuit was invented in the 1950s. It is widely used for carrier recovery and demodulation. A rigorous nonlinear analysis of the Costas loop circuit is a complicated task, so engineers frequently use simplified mathematical models and numerical simulation. It is shown that the analysis of a simplified model of the classical Costas loop without justification can lead to wrong conclusions on the dynamics of the circuit. A nonlinear model of the classical Costas loop is derived and rigorously justified on the basis of the averaging method.
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Original Russian Text © G.A. Leonov, N.V. Kuznetsov, M.V. Yuldashev, R.V. Yuldashev, 2015, published in Doklady Akademii Nauk, 2015, Vol. 464, No. 6, pp. 660–664.
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Leonov, G.A., Kuznetsov, N.V., Yuldashev, M.V. et al. Mathematical models of the Costas loop. Dokl. Math. 92, 594–598 (2015). https://doi.org/10.1134/S1064562415050270
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DOI: https://doi.org/10.1134/S1064562415050270