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Titlebook: Optimal Filtering; Volume I: Filtering Vladimir Fomin Book 1999 Springer Science+Business Media Dordrecht 1999 Signal.filtering problem.fi

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发表于 2025-3-21 18:38:05 | 显示全部楼层 |阅读模式
书目名称Optimal Filtering
副标题Volume I: Filtering
编辑Vladimir Fomin
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Optimal Filtering; Volume I: Filtering  Vladimir Fomin Book 1999 Springer Science+Business Media Dordrecht 1999 Signal.filtering problem.fi
描述This book is devoted to an investigation of some important problems of mod­ ern filtering theory concerned with systems of ‘any nature being able to per­ ceive, store and process an information and apply it for control and regulation‘. (The above quotation is taken from the preface to [27]). Despite the fact that filtering theory is l‘argely worked out (and its major issues such as the Wiener-Kolmogorov theory of optimal filtering of stationary processes and Kalman-Bucy recursive filtering theory have become classical) a development of the theory is far from complete. A great deal of recent activity in this area is observed, researchers are trying consistently to generalize famous results, extend them to more broad classes of processes, realize and justify more simple procedures for processing measurement data in order to obtain more efficient filtering algorithms. As to nonlinear filter­ ing, it remains much as fragmentary. Here much progress has been made by R. L. Stratonovich and his successors in the area of filtering of Markov processes. In this volume an effort is made to advance in certain of these issues. The monograph has evolved over many years, coming of age by stages. F
出版日期Book 1999
关键词Signal; filtering problem; filters; functional analysis; stochastic processes; information and communicat
版次1
doihttps://doi.org/10.1007/978-94-011-5326-3
isbn_softcover978-94-010-6238-1
isbn_ebook978-94-011-5326-3
copyrightSpringer Science+Business Media Dordrecht 1999
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Book 1999er­ ceive, store and process an information and apply it for control and regulation‘. (The above quotation is taken from the preface to [27]). Despite the fact that filtering theory is l‘argely worked out (and its major issues such as the Wiener-Kolmogorov theory of optimal filtering of stationary p
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Optimal filtering of stochastic processes in the context of the Wiener-Kolmogorov theory, (representing, as a rule, a realization of a random process) taken from a receiver’s output is usually interpreted as a signal. By filtering an original signal we obtain a transformed signal (a time function as well) having various meanings in the specific problems. Thus every filtering procedure g
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Nonlinear filtering of time series, observation procedure’ and so on. In a number of nonlinear optimal filtering problems we do not succeed, as a rule, in restricting ourselves to some statistical moments of the stochastic partially observed process but, with rare exception, we have to deal with .. (The exeptions are filtering proble
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Book 1999­ ing, it remains much as fragmentary. Here much progress has been made by R. L. Stratonovich and his successors in the area of filtering of Markov processes. In this volume an effort is made to advance in certain of these issues. The monograph has evolved over many years, coming of age by stages. F
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