Phase Tracking with Optimal Lock Time

Abstract

The MTLL is the fundamental performance criterion in phase tracking and synchronization systems. Thus, for example, a phase-tracking system is considered locked as long as the estimation error $e(t) = x(t) -\hat{ x}(t)$ is in (−π,π). When the error exceeds these limits, the tracker is said to be unlocked, and it relocks on an erroneous equilibrium point, with a deviation of 2π. Another example is an automatic sight of a cannon. The sight is said to be locked on target if the positioning error is somewhere between certain limits. There are similar problems in which the maximization of exit time is an optimality criterion [114].