Mathematical models of the Costas loop

作者:Leonov G A*; Kuznetsov N V; Yuldashev M V; Yuldashev R V
来源:Doklady Mathematics, 2015, 92(2): 594-598.
DOI:10.1134/S1064562415050270

摘要

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.

  • 出版日期2015-9