Title :
Optimal smoothing for noncausal 2-D systems based on a descriptor model
Author_Institution :
Tokyo Univ. of Mercantile Marine, Japan
fDate :
11/1/1992 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
