Reachability of the synchronous state in a mutually connected PLL network

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dc.contributor.authorCARARETO, R.
dc.contributor.authorORSATTI, F. M.
dc.contributor.authorPIQUEIRA, J. R. C.
dc.date.accessioned2022-01-12T22:04:36Z
dc.date.available2022-01-12T22:04:36Z
dc.date.issued2009
dc.description.abstractSecond-order phase locked loops (PLLs) are devices that are able to provide synchronization between the nodes in a network even under severe quality restrictions in the signal propagation. Consequently, they are widely used in telecommunication and control. Conventional master-slave (M-S) clock-distribution systems are being replaced by mutually connected (MC) ones due to their good potential to be used in new types of application such as wireless sensor networks, distributed computation and communication systems. Here, by using an analytical reasoning, a nonlinear algebraic system of equations is proposed to establish the existence conditions for the synchronous state in an MC PLL network. Numerical experiments confirm the analytical results and provide ideas about how the network parameters affect the reachability of the synchronous state. The phase-difference oscillation amplitudes are related to the node parameters helping to design PLL neural networks. Furthermore, estimation of the acquisition time depending on the node parameters allows the performance evaluation of time distribution systems and neural networks based on phase-locked techniques. © 2008 Elsevier GmbH. All rights reserved.
dc.description.firstpage986
dc.description.issuenumber11
dc.description.lastpage991
dc.description.volume63
dc.identifier.citationCARARETO, R.; ORSATTI, F. M.; PIQUEIRA, J. R. C. Reachability of the synchronous state in a mutually connected PLL network. AEU - International Journal of Electronics and Communications, v. 63, n. 11, p. 986-991, Nov. 2009.
dc.identifier.doi10.1016/j.aeue.2008.07.008
dc.identifier.issn1434-8411
dc.identifier.urihttps://repositorio.fei.edu.br/handle/FEI/4282
dc.relation.ispartofAEU - International Journal of Electronics and Communications
dc.rightsAcesso Restrito
dc.subject.otherlanguageMutually connected
dc.subject.otherlanguagePhase-error
dc.subject.otherlanguagePhase-locked loop
dc.subject.otherlanguageSynchronous state
dc.titleReachability of the synchronous state in a mutually connected PLL network
dc.typeArtigo
fei.scopus.citations9
fei.scopus.eid2-s2.0-74249107057
fei.scopus.subjectAcquisition time
fei.scopus.subjectAnalytical reasoning
fei.scopus.subjectAnalytical results
fei.scopus.subjectDistributed computations
fei.scopus.subjectDistribution systems
fei.scopus.subjectExistence conditions
fei.scopus.subjectMaster-slave
fei.scopus.subjectNetwork parameters
fei.scopus.subjectNode parameter
fei.scopus.subjectNon-linear algebraic system
fei.scopus.subjectNumerical experiments
fei.scopus.subjectOscillation amplitude
fei.scopus.subjectPerformance evaluation
fei.scopus.subjectPhase difference
fei.scopus.subjectReachability
fei.scopus.subjectSecond orders
fei.scopus.subjectSignal propagation
fei.scopus.subjectSynchronous state
fei.scopus.subjectTime distribution
fei.scopus.updated2025-02-01
fei.scopus.urlhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=74249107057&origin=inward
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