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H. Luo, W. S. Lu and A. Antoniou, “Numerical Solution of the Two-Dimensional Lyapunov Equations and Application in Order Reduction of Recursive Digital Filters,” IEEE Pacific Rim Conference on Communications, Computers and Signal Processing, Victoria, 19-21 May 1993, pp. 232-235.

has been cited by the following article:

• TITLE: Model Reduction of 2-D IIR Filters

  AUTHORS: Lahcène Mitiche, Amel Baha Houda Adamou-Mitiche, Omar Kacem, Vasil Sima

  KEYWORDS: Stability; Recursively Computable; Linear Phase; State Space; Balanced Realization; Model Reduction

  JOURNAL NAME: Journal of Signal and Information Processing, Vol.3 No.4, November 29, 2012

  ABSTRACT: The work presented in this paper concerns with analysis and synthesis of the two-dimensional Infinite Impulse Response (IIR) filters based on model order reduction. The synthesis is performed with two methods, the Prony's method (Prony modified) and Iterative method, in the spatial domain, and with the method of Semi-Definite iterative Programming (SDP), in the frequency domain. After synthesis, we make an order reduction of the filter model by the Quasi-Gramians method.