Lock Detection in Phase-Locked Loops
Copyright policy )Lock Detection in Phase-Locked Loops
The phase quadrature lock detector is used extensively to detect phase lock in phase-locked loops (PLLs). However, this lock detector's relationship to PLL closed-loop dynamics has never been established. A new theory is presented, which accomplishes this for a specified class of PLLs. First, the nonlinear equation describing the class of PLLs is presented, and its solutions for the phase lock and false lock cases are discussed. Next, the equations of first variation with respect to these solutions are given.
false lock cases, Phase plane analysis, limit cycles for nonlinear problems in mechanics, Stability for nonlinear problems in mechanics, phase quadrature lock detector, closed-loop dynamics, variational equations, Nonlinear oscillations and coupled oscillators for ordinary differential equations, Periodic solutions to ordinary differential equations, characteristic exponent, detector's output, equations of first variation
false lock cases, Phase plane analysis, limit cycles for nonlinear problems in mechanics, Stability for nonlinear problems in mechanics, phase quadrature lock detector, closed-loop dynamics, variational equations, Nonlinear oscillations and coupled oscillators for ordinary differential equations, Periodic solutions to ordinary differential equations, characteristic exponent, detector's output, equations of first variation
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).3 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!