Phase jitter dynamics of first-order digital phase-locked loops with frequency-modulated input

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Title: Phase jitter dynamics of first-order digital phase-locked loops with frequency-modulated input
Authors: Tertinek, Stefan
Teplinsky, Alexey
Feely, Orla
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Date: 18-May-2008
Abstract: Inherent to digital phase-locked loops is frequency quantization in the number-controlled oscillator which prevents the loop from locking exactly onto its reference signal and introduces unwanted phase jitter. This paper investigates the effect of frequency quantization in a first-order loop with a frequency-modulated input signal. Using tools of nonlinear dynamics, we show that, depending on the modulation amplitude, trajectories in the phase space eventually fall into either an invariant region or a trapping region, the boundaries of which give useful bounds on the steady-state phase jitter excursion. We also derive a sufficient condition for the maximum modulation amplitude to prevent loop cycle slipping.
Funding Details: Science Foundation Ireland
Type of material: Conference Publication
Publisher: IEEE
Copyright (published version): 2008 IEEE
Keywords: Phase-locked loops;Phase jitter
Subject LCSH: Phase-locked loops
Frequencies of oscillating systems
Oscillators, Electric
DOI: 10.1109/ISCAS.2008.4541725
Language: en
Status of Item: Peer reviewed
Is part of: IEEE International Symposium on Circuits and Systems, 2008. ISCAS 2008 [proceedings]
Conference Details: IEEE International Symposium on Circuits and Systems (ISCAS), Seattle, USA, 18-21 May 2008
Appears in Collections:Electrical and Electronic Engineering Research Collection

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