Optimal Filtering

Name: Optimal Filtering
Brand: Springer Netherlands
SKU: 9780792357346
Price: 105.3 EUR
Availability: InStock

Volume II: Spatio-Temporal Fields

Автор: V. N. Fomin

Език:

Корици: С твърди корици

Издател: Springer Netherlands

Наличност: Външен склад

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In this volume the investigations of filtering problems, a start on which has been made in [55], are...

Информация за книгата

Автор

V. N. Fomin

Език

Английски език

Корици

Книга - С твърди корици

Издадена

1999

страници

359

EAN

9780792357346

ISBN

0792357345

Enbook ID

05250639

Издател

Springer Netherlands

Теглоt

703

Размери

160 x 240 x 22

Пълно описание

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 Ct. (.

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Optimal Filtering

Volume II: Spatio-Temporal Fields

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