Statistical properties of first-order bang-bang Pll with nonzero loop delay
Kennedy, Michael Peter
A method to solve the stationary state probability is presented for the first-order bang-bang phase-locked loop (BBPLL) with nonzero loop delay. This is based on a delayed Markov chain model and a state How diagram for tracing the state history due to the loop delay. As a result, an eigenequation is obtained, and its closed form solutions are derived for some cases. After obtaining the state probability, statistical characteristics such as mean gain of the binary phase detector and timing error variance are calculated and demonstrated.
Bang-bang phase-locked loop , Delayed Markov chain , Nonzero loop delay
Chun, B, Kennedy, MP (2008) 'Statistical Properties of First-Order Bang-Bang Pll With Nonzero Loop Delay'. IEEE Transactions On Circuits and Systems II - Express Briefs, 55 (10):1016-1020.
©2008 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.