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This paper examines the nonlinear dynamics of a model of a second order Digital Bang-Bang Phase-Locked Loop (DBB-PLL). A continuous model of the DBB-PLL is developed. This paper focuses on the occurrence and behaviour of limit cycles. In particular, limit cycle trajectory equations are determined. The parameter space boundary for this class of limit cycles is then found. A further theorem extends...
This paper examines the nonlinear dynamics of a model of a second order bang-bang phase-locked loop (BB-PLL). Three distinct steady state dynamical patterns (locking, slew-rate limiting and limit cycles) have been observed for this discrete system. A corresponding continuous model of the BB-PLL is established. This paper focuses on the occurrence and the shape of the limit cycles. In particular, equations...
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