Estimating the initial condition of chaotic orbits: Performance bounds

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dc.contributor.authorEisencraft M.
dc.contributor.authorBaccala L.A.
dc.date.accessioned2024-03-13T01:42:55Z
dc.date.available2024-03-13T01:42:55Z
dc.date.issued2006
dc.description.abstractWe derive the Cramér-Rao lower bound associated with the estimation of the initial condition of noise-embedded chaotic signals produced by general one- dimensional maps. We relate its asymptotic behaviour to the chaotic attractor's Lyapunov number. These results can be used to choose the chaotic generator more suitable for applications on chaotic digital communication systems.
dc.description.firstpage281
dc.description.issuenumberPART 1
dc.description.lastpage285
dc.description.volume1
dc.identifier.doi10.3182/20060628-3-fr-3903.00049
dc.identifier.issn1474-6670
dc.identifier.urihttps://dspace.mackenzie.br/handle/10899/37813
dc.relation.ispartofIFAC Proceedings Volumes (IFAC-PapersOnline)
dc.rightsAcesso Restrito
dc.subject.otherlanguageChaos theory
dc.subject.otherlanguageCommunication systems
dc.subject.otherlanguageEstimation theory
dc.subject.otherlanguageNonlinear systems
dc.subject.otherlanguageParameter estimation
dc.titleEstimating the initial condition of chaotic orbits: Performance bounds
dc.typeArtigo de evento
local.scopus.citations2
local.scopus.eid2-s2.0-79960972595
local.scopus.subjectAsymptotic behaviour
local.scopus.subjectChaotic attractors
local.scopus.subjectChaotic generators
local.scopus.subjectEstimation theory
local.scopus.subjectInitial conditions
local.scopus.subjectLyapunov numbers
local.scopus.subjectOne dimensional map
local.scopus.subjectPerformance bounds
local.scopus.updated2024-05-01
local.scopus.urlhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79960972595&origin=inward
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