Equations of Phase-Locked Loops: Dynamics on Circle, Torus and Cylinder

  title={Equations of Phase-Locked Loops: Dynamics on Circle, Torus and Cylinder},
  author={Jacek Kudrewicz and Stefan Wąsowicz},
Phase-Locked Loops (PLLs) are electronic systems that can be used as a synchronized oscillator, a driver or multiplier of frequency, a modulator or demodulator and as an amplifier of phase modulated signals. This book updates the methods used in the analysis of PLLs by drawing on the results obtained in the last 40 years. Many are published for the first time in book form. Nonlinear and deterministic mathematical models of continuous-time and discrete-time PLLs are considered and their basic… Expand
51 Citations
Phase-Locked Loops, Demodulation, and Averaging Approximation Time-Scale Extensions
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Symmetric bifurcation analysis of synchronous states of time-delayed coupled Phase-Locked Loop oscillators
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Forced Solutions of Disturbed Pendulum-Like Lur'e Systems
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Dichotomy and Stability of Disturbed Systems with Periodic Nonlinearities
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Synthesis of phase-locked loop : analytical methods and simulation
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