DocumentCode
1115905
Title
On the Problems of Constructing Minimal Realizations for Two-Dimensional Filters
Author
Fornasini, E. ; Marchesini, G.
Author_Institution
Department of Electrical Engineering, University of Padova, Padova, Italy.
Issue
2
fYear
1980
fDate
3/1/1980 12:00:00 AM
Firstpage
172
Lastpage
176
Abstract
The input-output behavior of a two-dimensional linear filter is defined by a formal power series in two variables. If the power series is rational the dynamics of the filter is described by updating equations on finite dimensional local state spaces. The class of realizations considered in this paper is constituted by doubly indexed dynamical systems of reduced structure. The construction of the class of minimal realizations is based on matrix representation techniques of noncommutative power series.
Keywords
Digital filters; Equations; Filtering theory; Linear systems; Nonlinear filters; Observability; Polynomials; Space stations; State-space methods; Transfer functions; Difference equations; Hankel matrix; noncommutative power series; observability; reachability; realization algorithms; two-dimensional filter;
fLanguage
English
Journal_Title
Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publisher
ieee
ISSN
0162-8828
Type
jour
DOI
10.1109/TPAMI.1980.4766996
Filename
4766996
Link To Document