| Author(s) | Rabah W. Aldhaheri |
| Affiliation | Department of Electrical and Computer Engineering King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia raldhaheri@yahoo.com |
| Title | Spatial-Domain Design of 2-D Quadrantal Symmetric Digital Filters using Singular-value Decomposition and Singular Perturbation Model Reduction |
| Source | Journal of King Saud University. Engineering Sciences. Volume 15, No 1. (2003/1423) |
| Abstract | Abstract. In this paper a new technique is presented to design low order 2-D quadrantally symmetric IIR digital filters. This technique is based on two steps: First, the 2-D impulse response specification (Hankel matrix) is decomposed into k parallel sections, each consists of two cascaded SISO 1-D filters, using the singular value decomposition. Second, a singular perturbational model reduction algorithm is applied to the 1-D filter to approximate the N-dimensional FIR into n-dimensional IIR filters, where . The approximation step is based on computing the eigenspaces associated with the large eigenvalues of the cross-Gramian matrix . Examples are given to illustrate the proposed technique. |
