
Accession Number : AD0714710
Title : Deconvolution in Canonical Form,
Corporate Author : ECOLE NATIONALE SUPEREIEURE DES MINES PARIS (FRANCE) CENTRE D'AUTOMATIQUE
Personal Author(s) : Depeyrot,M.
Report Date : MAR 1970
Pagination or Media Count : 22
Abstract : It is shown that the inverse transform of a rational fraction (in x or z frequency variable) can be computed by a 'realtime deconvolver' in the form of a doubly canonical linear dynamical system. Previous techniques (FIELDER, PIERRE, STANLEYREIS, AHMEDRAO) ARE DEDUCED IN A NATURAL WAY BOTH FOR CONTINUOUS AND SAMPLEDDATA SYSTEMS. Since the new method is obtained by considering the ratio of a transformed output sequence to a transformed input sequence, it as well provides a procedure for dividing two power series, hence 'online' linear system identification. Deconvolution then appears as the link between linear systems and automata and suggests a metamodel for algorithm representation. (Author)
Descriptors : (*INTEGRAL TRANSFORMS, NUMERICAL ANALYSIS), (*CONTROL SYSTEMS, MATHEMATICAL MODELS), (*LINEAR SYSTEMS, IDENTIFICATION), COMBINATORIAL ANALYSIS, TRANSFER FUNCTIONS, TIME SERIES ANALYSIS, POWER SPECTRA, MATRICES(MATHEMATICS), AUTOMATA, THEOREMS, FRANCE
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE