Optimal Filtering

Name: Optimal Filtering
Brand: Springer Netherlands
SKU: 9789401059749
Price: 38234 HUF
Availability: InStock

Volume II: Spatio-Temporal Fields

Szerző: V. N. Fomin

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer Netherlands

Elérhetőség: Beszállítói készleten

Küldés 5-8 napon belül

38 234 Ft

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

Információk a könyvről

Szerző

V. N. Fomin

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2013

oldal

359

EAN

9789401059749

ISBN

9401059748

Enbook ID

05323413

Kiadó

Springer Netherlands

Súly

599

Méretek

160 x 240 x 20

Teljes leírás

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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