Mean Time before Tracking Loss in Continuous and Discrete Phase-Locked Loops

Methods for calculating the mean time before tracking loss in continuous and discrete systems are considered. The equation, from which the mean time before tracking loss is determined for the continuous phase-locked loop, and its solution are given. It is shown that for the case of the discrete phase-locked loop under the same conditions, the mean time before tracking loss is obtained using the approximate Galerkin method. The values of the mean time before tracking loss at different values of the frequency error (for both continuous and discrete phase-locked loops), as well as the dependence of tracking losses in the discrete phase-locked loop on the normalized sampling interval in comparison to continuous phase-locked loop are given. As a result, the dependence of the difference in values of mean time before tracking loss in the discrete phase-locked loop with different normalized sampling intervals on the frequency error is shown.

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