Bifurcation analysis for third-order phase-locked loops

dc.contributor.authorMonteiro L.H.A.
dc.contributor.authorFilho D.N.F.
dc.contributor.authorPiqueira J.R.C.
dc.date.accessioned2024-03-13T01:45:02Z
dc.date.available2024-03-13T01:45:02Z
dc.date.issued2004
dc.description.abstractSecond-order phase-locked loops (PLLs) are extensively used in applications related to recovering clock signals for synchronous demodulation in telecommunication networks. In situations where an improvement of the transient response of the local clocks is necessary, third-order PLLs are employed. Here, we use concepts taken from dynamical system theory for analytically determining the capture range of three nonlinear third-order PLLs subject to a ramp input. We show that saddle-node, saddle-saddle, and Hopf bifurcations can be produced by varying the values of the input signal velocity and of the PLL parameters, providing criteria for designing such PLLs.
dc.description.firstpage494
dc.description.issuenumber5
dc.description.lastpage496
dc.description.volume11
dc.identifier.doi10.1109/LSP.2004.824064
dc.identifier.issn1070-9908
dc.identifier.urihttps://dspace.mackenzie.br/handle/10899/37931
dc.relation.ispartofIEEE Signal Processing Letters
dc.rightsAcesso Restrito
dc.subject.otherlanguageHopf bifurcation
dc.subject.otherlanguagePhase-locked loop (PLL)
dc.subject.otherlanguageSaddle-node bifurcation
dc.subject.otherlanguageSaddle-saddle bifurcation
dc.subject.otherlanguageSynchronism
dc.titleBifurcation analysis for third-order phase-locked loops
dc.typeCarta ao editor
local.scopus.citations31
local.scopus.eid2-s2.0-2442426311
local.scopus.subjectBifurcation analysis
local.scopus.subjectHopf bifurcation
local.scopus.subjectSaddle-node bifurcation
local.scopus.subjectSaddle-saddle bifurcation
local.scopus.subjectSignal velocity
local.scopus.subjectThird order phase locked loops
local.scopus.subjectTransient response
local.scopus.updated2024-05-01
local.scopus.urlhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=2442426311&origin=inward
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