Abstract
A second-order digital phase-locked loop (DPLL) may exhibit different behavior depending on the initial values of the internal variables, In this work we examine the global nonlinear dynamics of a second-order PLL by means of bifurcation theory and numerical simulations. In particular we determine regions in the parameter plane for the existence and stability of different attractors and discuss how this influences the system behavior. We also study bifurcations of the attractors of the DPLL.
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