A New Design Method For Unbiased Finite Memory Digital Phase-Locked Loop
In this paper, we presented the design method for the unbiased finite memory digital phase-locked loop (UFMDPLL). We analyzed the characteristic of relation between horizon size and noise covariances of the UFMDPLL by introducing the horizon equation. The horizon equation, which is a function of horizon size N and noise covariances, is derived from error variance and ensuring unbiasedness property. Through simulations, we present the effects of among the noise covariances on the optimal horizon size of UFMDPLL.
Index Terms� Digital phase-locked loop(DPLL), zero-crossing DPLL, finite, unbiased finite memory filter, unbiasedness property