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基于一般紧支撑小波的一类动态多尺度系统最优估计算法

, PP. 385-393

Keywords: Dynamicmultiscalesystem,compactlysupportedwavelet,Kalmanfiltering

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Abstract:

?Thispaperaddressestheproblemofdynamicmultiscalesystem(DMS)estimation.Researchachievementsintherelatedareahavebeenreportedintheliterature,buttheyeitherrelyontheassumptionofstationarityoftheobservedprocessoraredifficulttobeimplemented.Inthispaper,amodelofDMSthatmeetstherequirementsofthestandarddiscretetimeKalmanfilteringisbuiltandisrealizedbygeneralcompactlysupportedwavelet.Theintroductionofthestatespaceprojectionequationandtheaugmentationofmeasurementequationareamajorpartofthenoveltyinourwork.Atheoremontheoptimalfilteringoutputateachscaleisputforward.Experimentalresultsaregiventoverifyourmethods0superiorperformances.

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