Title :
Application of Kalman Gain for Minimum Mean-Squared Phase-Error Bound in Bang-Bang CDRs
Author :
Lee, Joon-Yeong ; Bae, Hyeon-Min
Author_Institution :
Dept. of Electr. Eng., Korea Adv. Inst. of Sci. & Technol. (KAIST), Daejeon, South Korea
Abstract :
This paper presents the minimum bound of the mean-squared phase-error of a bang-bang (BB) clock-and-data recovery (CDR) circuit under the condition of random phase tracking. An analogy between the Kalman filter and a linearized BB CDR is utilized for the derivation. The effects of demultiplexing, loop latency, and granular jitter are considered in the analysis to reflect reality. The validity of the theoretical analysis is supported by behavioral time domain simulation results.
Keywords :
Kalman filters; clock and data recovery circuits; demultiplexing; jitter; mean square error methods; phase locked loops; random processes; time-domain analysis; BB CDR circuit; Kalman filter; Kalman gain; PLL; bang-bang CDR; bang-bang clock-and-data recovery circuit; behavioral time domain simulation; demultiplexing; granular jitter; linearized BB CDR; loop latency; minimum mean-squared phase-error bound; random phase tracking; reflect reality; theoretical analysis; Delays; Jitter; Kalman filters; Markov processes; Simulation; Bang-Bang PLL; Kalman filter; Markov process;
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
DOI :
10.1109/TCSI.2012.2206460
