Title :
Model reduction of 2-D separable-denominator transfer functions via quasi-Kalman decomposition
Author :
Diab, M. ; Sreeram, V. ; Liu, W.Q.
Author_Institution :
Dept. of Electr. & Electron. Eng., Western Australia Univ., Nedlands, WA, Australia
fDate :
2/1/1998 12:00:00 AM
Abstract :
A model reduction algorithm for causal recursive separable denominator (CRSD) 2-D digital systems is proposed. The algorithm is based on a quasi-Kalman decomposition (QKD) method for 1-D systems. The proposed method yields horizontal and vertical sets of finite Gramians. In each set the finite controllability and observability Gramians are equal and diagonal. An example is given to illustrate the method
Keywords :
controllability; filtering theory; matrix decomposition; multidimensional systems; observability; reduced order systems; state-space methods; transfer functions; two-dimensional digital filters; 2D digital systems; 2D separable-denominator transfer functions; causal recursive separable denominator; controllability; finite Gramians; model reduction algorithm; observability; quasi-Kalman decomposition;
Journal_Title :
Circuits, Devices and Systems, IEE Proceedings -
DOI :
10.1049/ip-cds:19981653
