Reconstruction in a generalized model for translation invariant systems
type: Item
instance of: scholarly article
title: Reconstruction in a generalized model for translation invariant systems
zbMATH Open document ID: 0888.93041
DOI: 10.1016/0165-0114(95)00310-X
author: Amir Daneshgar
published in: Fuzzy Sets and Systems
publication date: 1998-06-11T00:00:00Z
review text: A strong reconstruction theorem (SRT) being similar to the convolution theorem known in the theory of linear and shift invariant systems is proved. The introduced framework forms a general model of the theory of translation invariant systems. It is revealed that the SRT subsumes the results of morphological analysis as discussed by \textit{P. Maragos} and \textit{R. W. Schafer} [IEEE Trans. Acoust. Speech Signal Process. 35, 1153-1169, 1170-1184 (1987)].
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93A10
zbMATH DE Number: 1064299
zbMATH Keywords: \(L\)-fuzzy systems
zbMATH Keywords: strong reconstruction theorem
zbMATH Keywords: convolution theorem
zbMATH Keywords: translation invariant systems
zbMATH Keywords: morphological analysis
reviewed by: Witold Pedrycz
MaRDI profile type: Publication
cites work: Fuzzy Set Theory and Topos Theory
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full work available at URL: 0165-0114(95)00310-x
OpenAlex ID: W2057752774
description: scientific article; zbMATH DE number 1064299