Title
Jitter Minimization in Digital PLLs with Mid-Rise TDCs
Abstract
This paper analyzes the absolute jitter performance of digital phase-locked loops and compares the case when either a multi-bit time-to-digital converter with mid-rise characteristic or a bang-bang phase detector is adopted. The linear equivalent model of the PLL and expressions for random-noise and limit-cycle jitter are first derived for the case of a 2-bit time-to-digital converter with a mid-rise characteristic, and the optimal TDC resolution is determined. The analysis, which account for TDC mismatches, shows that, compared to the 1-bit one, the 2-bit time-to-digital converter can substantially reduce the quantization noise in the case of dominant random-walk noise at the TDC input. Moving to the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$N_{b}$ </tex-math></inline-formula> -bit midrise TDC case, the quantization noise can be further reduced at the cost of higher complexity and finer time resolution. The choice of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$N_{b}=2$ </tex-math></inline-formula> seems to be the best compromise between jitter reduction and complexity increase. Time-domain simulations assess the theoretical framework and demonstrate the validity of the assumptions made throughout the paper.
Year
DOI
Venue
2020
10.1109/TCSI.2019.2959252
IEEE Transactions on Circuits and Systems I: Regular Papers
Keywords
DocType
Volume
Digital phase locked loop,time-to-digital converter,jitter,bang-bang,phase detector
Journal
67
Issue
ISSN
Citations 
3
1549-8328
3
PageRank 
References 
Authors
0.38
0
5
Name
Order
Citations
PageRank
Luca Avallone191.51
M. P. Kennedy249087.57
Saleh Karman382.18
Carlo Samori434939.76
Salvatore Levantino535143.23