Name: Optimal Filtering: Volume II: Spatio-Temporal Fields (en Inglés)
SKU: 58607648
Price: 104.83 USD
Availability: InStock
Author: Fomin, V. N.
ISBN: 9789401059749

portada Optimal Filtering: Volume II: Spatio-Temporal Fields (en Inglés)

Optimal Filtering: Volume II: Spatio-Temporal Fields (en Inglés)

Formato

Libro Físico

Autor

V. N. Fomin

Editorial

Springer

Idioma

Inglés

N° páginas

359

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6x2 cm

Peso

0.53 kg.

ISBN13

9789401059749

Categorías

Cibernética y teoría de sistemas
Análisis funcional y transformaciones
Matemáticas aplicadas

Optimal Filtering: Volume II: Spatio-Temporal Fields (en Inglés)

V. N. Fomin (Autor) · Springer · Tapa Blanda

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Reseña del libro "Optimal Filtering: Volume II: Spatio-Temporal Fields (en Inglés)"

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 [(.