Title :
State models and stability for 2-D filters
Author :
Aravena, Jorge L. ; Shafiee, Masoud ; Porter, William A.
Author_Institution :
Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA
fDate :
12/1/1990 12:00:00 AM
Abstract :
A generalized 2-D discrete-time filter is considered. Using the concept of a wave advance process, the filter equation is converted to a 1-D recursive form. A 1-D state equation is then developed and a canonical form for the state equation is presented. A norm bound on state transitions is developed, which is then related to the coefficients of the underlying filter equation. The norm bound is used to specify asymptotic stability conditions; the resultant criteria are illustrated through examples
Keywords :
filtering and prediction theory; stability criteria; two-dimensional digital filters; 1D state equation; 1D-recursive form; asymptotic stability conditions; canonical form; discrete-time filter; generalised 2D filters; norm bound; state transitions; wave advance process; Asymptotic stability; Circuits and systems; Equations; Filters; Helium; Stability criteria; State estimation; Testing;
Journal_Title :
Circuits and Systems, IEEE Transactions on
