Pull-In Range of a Phase-Locked Loop With a Binary Phase Comparator

We develop a method for calculating the pull-in range of a phase-locked loop with a binary phase comparator and an arbitrary loop filter. Complete numerical results are presented for loop filters of the phase-lag and low-pass types. The problem of stability is also considered, and it is proved that with these loop filters no steady-state phase jitter can exist after frequency acquistion has been achieved.