Binary phase detector gain in bang-bang phase-locked loops with DCO jitter

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Title: Binary phase detector gain in bang-bang phase-locked loops with DCO jitter
Authors: Tertinek, Stefan
Gleeson, James
Feely, Orla
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Date: 10-Dec-2010
Online since: 2012-04-19T14:51:48Z
Abstract: Bang-bang phase-locked loops (BBPLLs) are hard nonlinear systems due to the nonlinearity introduced by the binary phase detector (BPD). In the presence of jitter, the nonlinear loop is typically analyzed by linearizing the BPD and applying linear transfer functions in the analysis. In contrast to a linear PD, the linearized gain of a BPD depends on the rms jitter and the type of jitter (either non-accumulative or accumulative). Previous works considered the case of nonaccumulative reference clock jitter and showed that the BPD gain is inversely proportional to the rms jitter when the latter is small or large. In this brief we consider the case of accumulative DCO jitter and derive an asymptotic closed-form expression for the BPD gain which becomes exact in the limit of small and large jitter. Contrary to the reference clock jitter case, the BPD gain is constant for small DCO jitter and is inversely proportional to the square of jitter for large DCO jitter; in the latter case, the timing jitter has a normal-Laplace distribution.
Funding Details: Science Foundation Ireland
Type of material: Journal Article
Publisher: IEEE
Journal: IEEE Transactions on Circuits and Systems Part II
Volume: 57
Issue: 12
Start page: 941
End page: 945
Copyright (published version): 2010 IEEE
Keywords: Phase-locked loopBang-bangTiming jitterBinary phase detector gainAsymptotic analysis
Subject LCSH: Phase-locked loops
Phase detectors
Asymptotic expansions
DOI: 10.1109/TCSII.2010.2083110
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Language: en
Status of Item: Peer reviewed
Appears in Collections:Electrical and Electronic Engineering Research Collection

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