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
Abstract :
In this paper a model reduction algorithm for casual recursive separable denominator (CRSD) 2-D digital systems is proposed. The algorithm is based on the quasi-Kalman decomposition (QKD) method developed for 1-D systems. The proposed algorithm employs singular value decomposition of the horizontal and vertical Hankel matrices. This leads to producing two sets of finite Gramians where in each set the finite Gramians are equal and diagonal. An example is given in order to illustrate the method
Keywords :
Hankel matrices; Kalman filters; reduced order systems; singular value decomposition; transfer functions; two-dimensional digital filters; 2D separable-denominator transfer functions; Hankel matrices; finite Gramians; model reduction algorithm; quasi-Kalman decomposition; singular value decomposition; Digital filters; Linear systems; Matrix decomposition; Reduced order systems; Satellites; Sonar; Stability; Testing; Transfer functions; Two dimensional displays;
Conference_Titel :
Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on
Print_ISBN :
0-7803-3583-X
DOI :
10.1109/ISCAS.1997.621457
