On the minimization of system matrix for two-dimensional digital filters

TitleOn the minimization of system matrix for two-dimensional digital filters
Publication TypeConference Paper
Year of Publication1991
AuthorsMeng, Q. - H., A. Hasan, W. - S. Lu, and V. K. Bhargava
Conference NameCommunications, Computers and Signal Processing, 1991., IEEE Pacific Rim Conference on
Pagination396 -399 vol.1
Date Publishedmay.
Keywords2D state-space digital filter, false position, filtering and prediction theory, golden section ratio search, line search, matrix algebra, minimisation, nonquadratic optimization problems, system matrix minimisation, transformed system matrix, two-dimensional digital filters, two-loop Fletcher-Reeves-type method

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


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