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Charge pump phase-locked loop with phase-frequency detector (CP-PLL) is anelectrical circuit, widely used in digital systems for frequency synthesis andsynchronization of the clock signals. In this paper a non-linear second-ordermodel of CP-PLL is rigorously derived. The obtained model obviates theshortcomings of previously known second-order models of CP-PLL. Pull-in time isestimated for the obtained second-order CP-PLL.

Charge pump phase-locked loop with phase-frequency detector: closed form mathematical model