Title: Improved performance of digital filters approximation

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.

DOI: 10.1504/IJOR.2016.078453

International Journal of Operational Research, 2016 Vol.27 No.1/2, pp.47 - 61

Received: 03 Oct 2013
Accepted: 01 Feb 2014
Published online: 22 Aug 2016 *

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