The Cramer-Rao bound for initial conditions estimation of chaotic orbits

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dc.contributor.authorEisencraft M.
dc.contributor.authorBaccala L.A.
dc.date.accessioned2024-03-13T01:38:47Z
dc.date.available2024-03-13T01:38:47Z
dc.date.issued2008
dc.description.abstractWe derive the Cramer-Rao Lower Bound (CRLB) for the estimation of initial conditions of noise-embedded orbits produced by general one-dimensional maps. We relate this bound's asymptotic behavior to the attractor's Lyapunov number and show numerical examples. These results pave the way for more suitable choices for the chaotic signal generator in some chaotic digital communication systems. © 2006.
dc.description.firstpage132
dc.description.issuenumber1
dc.description.lastpage139
dc.description.volume38
dc.identifier.doi10.1016/j.chaos.2006.10.067
dc.identifier.issn0960-0779
dc.identifier.urihttps://dspace.mackenzie.br/handle/10899/37588
dc.relation.ispartofChaos, Solitons and Fractals
dc.rightsAcesso Restrito
dc.titleThe Cramer-Rao bound for initial conditions estimation of chaotic orbits
dc.typeArtigo
local.scopus.citations8
local.scopus.eid2-s2.0-41849093387
local.scopus.subjectAsymptotic behavior
local.scopus.subjectChaotic digital communication systems
local.scopus.subjectChaotic orbits
local.scopus.subjectInitial conditions estimation
local.scopus.updated2024-05-01
local.scopus.urlhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=41849093387&origin=inward
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