Nonlinear Analysis of the Costas Loop and Phase-Locked Loop with Squarer

N.V. Kuznetsov, G.A. Leonov, and S.M. Seledzhi (Russia)


Nonlinear analysis, phase-locked loop, Costas loop, stabil ity, squarer, phase detector characteristic.


This work is devoted to the nonlinear analysis of the Costas loop and phase-locked loop with squarer. By using the special asymptotical methods for analysis of high-frequency harmonic and impulse oscillations, integro-differential and differential equations for the Costas loop and phase-locked loop with squarer are derived. The analytical methods for calculation of phase detector characteristics are suggested. For high-frequency clock oscillators new classes of such characteristics are described.

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