The Mathematic Models of the Kalman Filtering for Across-Fault Measurement-中国期刊网

摘要 ThispapermakesaprobeintotheapplicationoftheKalmanfilteringmethodtothedataprocessingofacross-faultmeasurements.Onthebasisofstatisticalregression,themathematicandstochasticmodelsoffiltrationareestablishedbycombiningtheregressionmethodwithKalmanfiltering.Inthefilteringcomputation,notonlytherandomnessoffaultmovementsbutalsothetime-dependentvariationofenvironmentaleffectshavebeentakenintoconsideration.Byuseoftheadaptivefilteringmethod,anestimationofthedynamicnoisevariancematrixisobtainedthroughiteration.Modelsforonemeasuringline(levelinglineorbaseline),twomeasuringlines(bothlevelinglinesorbothbaselines)andfourmeasuringlines(twolevelinglinesandtwobaselines)arederivedandestablishedsystematically.Bymeansofthesemodels,thedataofacross-faultmeasurementscanbeprocesseddynamicallyinreal-timetoprovidethefilteredvaluesofheightdifferencebetweenbenchmarksorbaselinelengthatdifferenttimein

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The Mathematic Models of the Kalman Filtering for Across-Fault Measurement

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The Mathematic Models of the Kalman Filtering for Across-Fault Measurement

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