Title :
On the minimization of system matrix for two-dimensional digital filters
Author :
Meng, Q.-H. ; Hasan, A. ; Lu, W.-S. ; Bhargava, V.K.
Author_Institution :
Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada
Abstract :
An optimization algorithm is developed to minimize the 2-norm of the transformed system matrix for a 2D state-space digital filter. The method is actually a two-loop Fletcher-Reeves-type method, where the line search is carried out using a combination of golden section ratio search and the method of false position. In general, the proposed method can be used to solve nonquadratic optimization problems where an analytic version of the objective function is not available
Keywords :
filtering and prediction theory; matrix algebra; minimisation; two-dimensional digital filters; 2D state-space digital filter; false position; golden section ratio search; line search; nonquadratic optimization problems; system matrix minimisation; transformed system matrix; two-dimensional digital filters; two-loop Fletcher-Reeves-type method; Data processing; Digital filters; Equations; Image processing; Optimization methods; Stability;
Conference_Titel :
Communications, Computers and Signal Processing, 1991., IEEE Pacific Rim Conference on
Conference_Location :
Victoria, BC
Print_ISBN :
0-87942-638-1
DOI :
10.1109/PACRIM.1991.160761
