Conditionally optimal iterative filters
type: Item
instance of: scholarly article
title: Conditionally optimal iterative filters
zbMATH Open document ID: 0918.93056
author: Younghee Lee
author: Yonggun Cho
author: M. Oh
author: V. I. Shin
published in: Automation and Remote Control
publication date: 1999-08-08T00:00:00Z
review text: Conditionally optimal iterative filters are proposed. They are built up on the basis of the theory of conditionally optimal discrete filters (in the sence of Pugachev) intended for filtering random processes described by nonlinear difference equations. As in the calculations involved with the theory of conditionally optimal filtering, here all the calculations for finding the gains of iterative filters rely only on the use of a priori information on both the structure of the difference equations that determine the random processes and on a class of admissible filters. The calculations do not use the results of current observations and thus they can be performed beforehand in designing the filters. The filtering process can be carried out in real time. The theory of conditionally optimal filters allows to design filters of different structures, for example, filters of a dimension that is higher than the dimension of the initial system. In this case, the equations for the filters can be given in an equivalent form, but more efficiently with respect to the amount of computer time taken to implement the filters. An example is given.
Mathematics Subject Classification ID: 93E11
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 1263117
zbMATH Keywords: conditionally optimal filtering
zbMATH Keywords: nonlinear difference equations
zbMATH Keywords: real time
zbMATH Keywords: iterative filters
reviewed by: Vyacheslav A. Vasiliev
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1263117