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The stochastic Phase-Locked Loop (PLL) system, a non-linear dynamic circuit, is an appealing and non-trivial case in the general theory of dynamical systems. In this paper, the stochastically-influenced PLL system is the subject of investigation in lieu of the noise-free case. Significantly, Stochastic Differential Equation (SDE) descriptions refine estimation algorithms, stability conditions and...
The stochastic Phase Locked Loop (PLL) system is an appealing and non-trivial case in stochastic system theory. The equation describing the stochastic PLL system is a second-order non-linear fluctuation equation. In this paper, the stochastic version of the Phase Locked Loop system, which accounts the noise contribution at the output of the multiplier, is analysed from estimation-theoretic viewpoint...
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