Title :
Optimum Acquisition of the Idling First-Order Phase-Locked Loop
Author_Institution :
University of Ghent Ghent, Belgium
Abstract :
Acquisition of the idling first-order phase-locked loop (PLL) is investigated. An analytical solution for the Fokker-Planck equation is found if the noise term is neglected. Furthermore, the modulation signal that optimizes the acquisition is obtained by use of phase-plane techniques and Pontryagin´s minimum principle.
Keywords :
Bandwidth; Equations; Filters; Frequency; Phase locked loops; Phase modulation; Steady-state; Viterbi algorithm; Voltage; Voltage-controlled oscillators;
Journal_Title :
Aerospace and Electronic Systems, IEEE Transactions on
DOI :
10.1109/TAES.1974.307858
