Lock-in range of classical PLL with impulse signals and proportionally-integrating filter

TL;DR

This paper analytically computes the lock-in range of a classical PLL with impulse signals and a proportional-integrating filter, validating results through numerical simulations.

Contribution

It provides an analytical expression for the lock-in range of a PLL with impulse signals and PI filter, which was previously not explicitly derived.

Findings

Analytical lock-in range formula derived

Numerical simulations confirm analytical results

Enhanced understanding of PLL behavior with impulse signals

Abstract

In the present work the model of PLL with impulse signals and active PI filter in the signal's phase space is described. For the considered PLL the lock-in range is computed analytically and obtained result are compared with numerical simulations.