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

Volume

59

Issue

12

fYear

2012

Firstpage

2825

Lastpage

2834

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;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2012.2206460

Filename

6238330