Relationship between Jitter variance, Lock time and Phase noise of a second-order PLL.

Abstract

This paper covers analytical relationships between phase noise, lock time and jitter variance. An expression is derived for Lock time in terms phase margin. Analytical expressions have been derived in this paper for the variation of Lock time with respect to Phase Margin and lock time with respect to its damping coefficient. Analytical expressions are derived for the jitter variance with respect to the phase margin of a second-order PLL. Analytical expressions are also derived for the derivative of jitter variance of a second-order PLL with respect to its phase margin. The jitter variance is plotted separately for time varying part of the jitter variance and time invariant part pf the jitter variance.