{"title":"特殊马尔可夫跳跃过程的最优和条件最优滤波","authors":"Andrey V. Borisov","doi":"10.1109/SIBCON.2007.371309","DOIUrl":null,"url":null,"abstract":"The paper introduces observation systems with special Markov Jump processes as the states arid their indirect observations in presence of Wiener noises. Solution of the optimal filtering problem in the classes of linear, polynomial and all nonlinear estimators is presented, and interrelation of obtained estimates is also demonstrated.","PeriodicalId":131657,"journal":{"name":"2007 Siberian Conference on Control and Communications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Optimal and Conditionally-Optimal Filtering of Special Markov Jump Processes\",\"authors\":\"Andrey V. Borisov\",\"doi\":\"10.1109/SIBCON.2007.371309\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper introduces observation systems with special Markov Jump processes as the states arid their indirect observations in presence of Wiener noises. Solution of the optimal filtering problem in the classes of linear, polynomial and all nonlinear estimators is presented, and interrelation of obtained estimates is also demonstrated.\",\"PeriodicalId\":131657,\"journal\":{\"name\":\"2007 Siberian Conference on Control and Communications\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-04-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 Siberian Conference on Control and Communications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SIBCON.2007.371309\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 Siberian Conference on Control and Communications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SIBCON.2007.371309","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Optimal and Conditionally-Optimal Filtering of Special Markov Jump Processes
The paper introduces observation systems with special Markov Jump processes as the states arid their indirect observations in presence of Wiener noises. Solution of the optimal filtering problem in the classes of linear, polynomial and all nonlinear estimators is presented, and interrelation of obtained estimates is also demonstrated.