Optimal Filtering - Volume II: Spatio-Temporal Fields (Paperback, Softcover reprint of the original 1st ed. 1999)

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 cents(."

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 481
Release date:	October 2012
First published:	1999
Authors:	V.N. Fomin
Dimensions:	240 x 160 x 20mm (L x W x T)
Format:	Paperback
Pages:	359
Edition:	Softcover reprint of the original 1st ed. 1999
ISBN-13:	978-9401059749
Categories:	Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Professional & Technical > Technology: general issues > Technical design > General
LSN:	9401059748
Barcode:	9789401059749

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