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

作     者：You Lilan,Liu Dajie,Huang Jia’na,Liu Xue and Zhou KechangInstitute of Crustat Dynamics,SSB,Beijing 100085,China Wuhan Technical University of Surveying and Mapping,Wuhan 430070,China National Center for Seismic Data and Inforraanon,SSB,Beijing 100045,China 

出 版 物：《Earthquake Research in China》 (中国地震研究（英文版）)

年 卷 期：1994年第8卷第3期

页      面：92-103页

学科分类：070801[理学-固体地球物理学] 07[理学] 0708[理学-地球物理学] 

主　　题：Across-fault measurement Kalman filtration State equation Observational equation Initial state Dynamic noise 

摘      要：This paper makes a probe into the application of the Kalman filtering method to the data processing of across-fault *** the basis of statistical regression,the mathematic and stochastic models of filtration are established by combining the regression method with Kalman *** the filtering computation,not only the randomness of fault movements but also the time-dependent variation of environmental effects have been taken into *** use of the adaptive filtering method,an estimation of the dynamic noise variance matrix is obtained through *** for one measuring line(leveling line or baseline),two measuring lines(both leveling lines or both baselines)and four measuring lines(two leveling lines and two baselines)are derived and established *** means of these models,the data of across-fault measurements can be processed dynamically in real-time to provide the filtered values of height difference between benchmarks or baseline length at different time