Particle filters for state estimation of jump Markov linear systems

Particle filters for state estimation of jump Markov linear systems

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时间:2019-08-06

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1、IEEETRANSACTIONSONSIGNALPROCESSING,VOL.49,NO.3,MARCH2001613ParticleFiltersforStateEstimationofJumpMarkovLinearSystemsArnaudDoucet,NeilJ.Gordon,andVikramKrishnamurthy,SeniorMember,IEEEAbstract—JumpMarkovlinearsystems(JMLS)arelinearMCMCmethodsaresimulation-ba

2、sedalgorithmsthathaveledsystemswhoseparametersevolvewithtimeaccordingtoafinitetopowerfulnumericalmethodsforcomputationoflikelihoods,stateMarkovchain.Inthispaper,ouraimistorecursivelycom-posteriordistributions,andestimatesderivedfromthem.Mostputeoptimalstate

3、estimatesforthisclassofsystems.WepresentofthedevelopmentinMCMCmethodssofarhasfocusedefficientsimulation-basedalgorithmscalledparticlefilterstosolvetheoptimalfilteringproblemaswellastheoptimalfixed-lagonoff-linealgorithmsthatoperateonafixedbatchofdata.smooth

4、ingproblem.Ouralgorithmscombinesequentialimpor-Theaimofthispaperistoproposeandanalyzerecursivetancesampling,aselectionscheme,andMarkovchainMonte(on-line)simulation-basedalgorithms.ThesealgorithmsCarlomethods.Theyuseseveralvariancereductionmethodstocombinese

5、quentialimportancesamplingandMCMCalgo-makethemostofthestatisticalstructureofJMLS.rithms.MotivatedbyseveralapplicationsinsignalprocessingComputersimulationsarecarriedouttoevaluatetheperfor-manceoftheproposedalgorithms.Theproblemsofon-linede-outlinedbelow,wef

6、ocusonderivingrecursivealgorithmsconvolutionofimpulsiveprocessesandoftrackingamaneuveringforoptimalstateestimationofjumpMarkovlinearsystemstargetareconsidered.Itisshownthatouralgorithmsoutperform(JMLS)—whichisawell-knownNP-hardproblem.thecurrentmethods.Let,

7、denoteadiscretetimeMarkovchainwithIndexTerms—Filteringtheory,MonteCarlomethods,statees-knowntransitionprobabilities.AjumpMarkovlinearsystemtimation,switchingsystems.canbemodeledasNOMENCLATURE(1)dimensionofanarbitraryvector.discretetime.(2)iterationnumberoft

8、hevariousiterativealgorithms.wheredenotesaknownexogenousinput,andanddenoteindependentwhiteGaussiannoisesequences.AjumpFor.T.Markovlinearsystemcanbeviewedasalinearsystemwhoseparameters(,,,,,)evolveGauss

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