Authors: Lahcène Mitiche; Amel Baha Houda Adamou-Mitiche
Addresses: Science and Technology Department, University of Djelfa, B.P. 3047, Ain-Chih, Djelfa, Algeria ' Science and Technology Department, University of Djelfa, B.P. 3047, Ain-Chih, Djelfa, Algeria
Abstract: The work presented in this paper concerns with analysis and synthesis of the two-dimensional (2D) digital systems based on model order reduction, and application to the 2D digital filters. The synthesis of the 2D systems is performed with the semi-definite iterative programming (SDP) method, in the frequency domain. After the synthesis, we make an order reduction of the synthesised model by the quasi-Gramians method. From several results and their interpretations, the 2D filter synthesised by the model reduction proposed method, present advantages compared to the conventional direct synthesised filters.
Keywords: 2D digital filters; stability; state space; balanced realisation; model order reduction; approximation; synthesis; semi-definite iterative programming.
International Journal of Operational Research, 2016 Vol.27 No.1/2, pp.47 - 61
Available online: 02 Aug 2016 *Full-text access for editors Access for subscribers Purchase this article Comment on this article