DocumentCode
808491
Title
Optimal smoothing for noncausal 2-D systems based on a descriptor model
Author
Uetake, Yoichi
Author_Institution
Tokyo Univ. of Mercantile Marine, Japan
Volume
37
Issue
11
fYear
1992
fDate
11/1/1992 12:00:00 AM
Firstpage
1840
Lastpage
1845
Abstract
An optimal smoothing problem for noncausal two-dimensional systems is formulated and solved based on the descriptor model with coefficient functions. Using this model, a forward and backward recursion procedure is obtained. It is shown that for the existence of solutions, pointwise reachability and observability of the descriptor model at infinite poles are important
Keywords
filtering and prediction theory; multidimensional systems; observability; poles and zeros; descriptor model; forward and backward recursion procedure; infinite poles; noncausal 2-D systems; observability; optimal smoothing; pointwise reachability; two-dimensional systems; Boundary conditions; Covariance matrix; Discrete Fourier transforms; Equations; Filtering; Image processing; Matrices; Observability; Smoothing methods; State-space methods;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.173164
Filename
173164
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