Robust identification in the disc algebra from band-limited data

作者： Juliette Leblond , Jonathan R. Partington , Laurent Baratchart

DOI:

关键词: Algebra 、 Sequence (medicine) 、 Identification (information) 、 Algebra over a field 、 Computer science

摘要: Robustidenti cationinthediscalgebrafromband-limiteddataLaurentBaratchart,JulietteLeblondJonathanR.Partington,N.TorkhaniProgramme5|Traitementdusignal,automatiqueetpro ductiquePro jetMIAOURapp ortderecherchen2488|Fevrier199531pagesAbstract:WeconsidertheproblemofidentifyingascalarBIBO-stabletrans-ferfunctionfromaseriesofexp erimentalp ointwisemeasurementsatsetfrequencieslyingwithinthebandwidth.Tothisend,weprop oseanalgorithmwhich consists in building a sequence of maps from data to BIBO-stable mo delswhichuniformlyconvergestotheseekedtransferfunctiononbandwidthwhenthenumb erofmeasurementsgo estoin nityandnoiseleveltozero,whileasymptoticallymeetingsomegaugeconstraintoutside.Errorb oundsarederivedforthisapproximationschemewhichisalsoillustratedbynumericalexp eriments.Key-words:Robustidenti cation,Hardyspaces,dualextremalproblems,Nehariextension.(Resume:tsvp)INRIA,BP93,2004routedesLucioles,06902Sophia{Antip olisCedex,FRANCE,fbaratchagfleblondtorkhanig@sophia.inria.frScho olofMathematics,UniversityLeeds,LeedsLS29JT,U.K.,fpmt6jrpg@gps1.leeds.ac.uk

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Robust identification in the disc algebra from band-limited data

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Robust identification in the disc algebra from band-limited data

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