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Optimal Filtering: Volume II: Spatio-Temporal Fields (Mathematics and Its Applications, 481) 🔍
Vladimir Fomin (auth.) Springer Netherlands : Imprint : Springer, Mathematics and Its Applications -- 481, Mathematics and Its Applications -- 481., Dordrecht, Netherlands, 1999
英语 [en] · PDF · 21.0MB · 1999 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/zlib · Save
描述
In this volume the investigations of filtering problems, a start on which has been made in [55], are being continued and are devoted to theoretical problems of processing stochastic fields. The derivation of the theory of processing stochastic fields is similar to that of the theory extensively developed for stochastic processes ('stochastic fields with a one-dimensional domain'). Nevertheless there exist essential distinctions between these cases making a construction of the theory for the multi-dimensional case in such a way difficult. Among these are the absence of the notion of the 'past-future' in the case of fields, which plays a fundamental role in constructing stochastic processes theory. So attempts to introduce naturally the notion of the causality (non-anticipativity) when synthesising stable filters designed for processing fields have not met with success. Mathematically, principal distinctions between multi-dimensional and one-dimensional cases imply that the set of roots of a multi-variable polyno mial does not necessary consist of a finite number of isolated points. From the main theorem of algebra it follows that in the one-dimensional case every poly nomial of degree n has just n roots (considering their multiplicity) in the com plex plane. As a consequence, in particular, an arbitrary rational function ¢(.
Erscheinungsdatum: 13.10.2012
备用文件名
lgrsnf/A:\compressed\10.1007%2F978-94-011-4691-3.pdf
备用文件名
nexusstc/Optimal Filtering: Volume II: Spatio-Temporal Fields/d860cd2af11ecfa8a849a6ba687270bd.pdf
备用文件名
zlib/Engineering/Vladimir Fomin (auth.)/Optimal Filtering: Volume II: Spatio-Temporal Fields_2092820.pdf
备选作者
by Vladimir Fomin
备选作者
Fomin, V.N.
备选作者
Fomin, V. N
备选作者
V.N. Fomin
备用出版商
Springer-Science+Business Media, B.V
备用出版商
Springer Science + Business Media BV
备用出版商
Springer Nature
备用版本
Softcover reprint of the original 1st ed. 1999, 2012
备用版本
Springer Nature, Dordrecht, 2012
备用版本
Netherlands, Netherlands
备用版本
1, 20121206
元数据中的注释
lg938942
元数据中的注释
{"edition":"1","isbns":["9401059748","9401146918","9789401059749","9789401146913"],"last_page":359,"publisher":"Springer Netherlands","series":"Mathematics and Its Applications 481"}
备用描述
This Book Considers Methods For The Optimal Processing Of Random Fields. In Particular, It Studies Spatio-temporal Filtering Problems Such As The Problem Of Optimal Signal Detection (bayes' Approach) And Estimating Angles Of Arrival Of Local Signals. The Exposition Of The Problem Of Optimal Filtering Is Presented With The Help Of Insights From Probability Theory, Functional Analysis And Mathematical Physics. An Algorithmic Form Of The Net Results Facilitates Computer-aided Applications. Audience: This Volume Will Be Of Interest To Experts In The Design Of Signal Processing And Theorists In Functional Analysis, Probability Theory, Functional Analysis And Mathematical Physics. By Vladimir Fomin.
备用描述
Front Matter....Pages i-xii
Fields and means of describing them....Pages 1-41
Models of continuous fields and associated problems....Pages 43-160
Filtering of spatio-temporal fields....Pages 161-220
Optimal filtering of discrete homogeneous fields....Pages 221-258
Back Matter....Pages 259-359
开源日期
2013-08-01
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