Title :
Model reduction of two-dimensional separable-in-denominator systems via frequency domain balanced realization
Author :
Wang, Dali ; Zilouchian, Ali ; Carroll, Robert
Author_Institution :
STM Wireless Inc., Irvine, CA, USA
Abstract :
Model reduction of a class of two-dimensional (2-D) separable-in-denominator digital filters (SDDF) using frequency domain balanced realization is proposed. The frequency domain controllability and observability Grammians are introduced. Their appropriate Lyapunov equations are developed. Various properties of the proposed frequency domain balanced structure are investigated. A comparison study of the proposed method with the available techniques is presented using a numerical example
Keywords :
controllability; frequency-domain analysis; frequency-domain synthesis; multidimensional systems; observability; realisation theory; reduced order systems; two-dimensional digital filters; Lyapunov equations; frequency domain balanced realization; frequency domain balanced structure; frequency domain controllability Grammians; frequency domain observability Grammians; model reduction; two-dimensional separable-in-denominator digital filters; two-dimensional separable-in-denominator systems; Control system synthesis; Controllability; Digital filters; Equations; Frequency domain analysis; Observability; Reduced order systems; Stability; System testing; Two dimensional displays;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.758663
