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A novel tracking jitter computation method for delay locked loops in spread spectrum systems

Groh, Ingmar and Gentner, Christian and Selva, Jesus (2012) A novel tracking jitter computation method for delay locked loops in spread spectrum systems. Transactions on Emerging Telecommunications Technologies, 23 (8), pp. 715-727. Wiley. DOI: 10.1002/ett.2528 ISSN 2161-3915

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Abstract

In spread-spectrum navigation systems, the positioning error (or tracking accuracy) is determined from the jitter deviation of delay-locked loops (DLLs). However, jitter simulations are computationally complex, and conventional analytical methods provide only unsatisfactory and incomplete jitter results. Thus, our contribution presents a novel method for the analytical jitter computation by mapping the stochastic differential equation (SDE) of the DLL onto an Ornstein–Uhlenbeck (OU) SDE. Its solution is the well-known OU random process, which is a time-variant Gaussian distribution. The expectation value and the variance of the OU random process yield the jitter deviation. Thus, we derive the analytical time-variant jitter function with its transient response, which was to date unavailable. Contrary to previous jitter computations based on a loop transfer function, our method covers DLLs of any order. We obtain the loop parameters that minimise the jitter deviation analytically without computationally complex simulations. Above all, our method based on OU random processes enables for the first time an efficient joint analytical mean time to lose lock (MTLL) and jitter computation. Therefore, both computationally complex MTLL and jitter simulations become obsolete for many kinds of DLLs

Item URL in elib:https://elib.dlr.de/79497/
Document Type:Article
Title:A novel tracking jitter computation method for delay locked loops in spread spectrum systems
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Groh, Ingmaringmar.groh (at) intel.comUNSPECIFIED
Gentner, ChristianChristian.Gentner (at) dlr.deUNSPECIFIED
Selva, Jesusjesus.selva (at) ua.esUNSPECIFIED
Date:December 2012
Journal or Publication Title:Transactions on Emerging Telecommunications Technologies
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:23
DOI :10.1002/ett.2528
Page Range:pp. 715-727
Publisher:Wiley
ISSN:2161-3915
Status:Published
Keywords:Computational modeling , Delay , Eigenvalues and eigenfunctions , Mathematical model , Noise , Random processes, Ornstein-Uhlenbeck random process , Spread-spectrum system , code synchronization , loss of lock phenomenon
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Communication and Navigation
DLR - Research area:Raumfahrt
DLR - Program:R KN - Kommunikation und Navigation
DLR - Research theme (Project):R - Vorhaben GNSS2/Neue Dienste und Produkte
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Communication and Navigation > Communications Systems
Deposited By: Gentner, Christian
Deposited On:06 Dec 2012 09:49
Last Modified:08 Mar 2018 18:32

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