An Algorithm for Balanced Approximation and Model Reduction of 2-D Separable-in-Denominator Filters

  • Authors:

  • Dali Wang;Ali Zilouchian;Ying Bai

  • Affiliations:

  • Department of Physics, Computer Science & Engineering, Christopher Newport University, Newport News, USA 23606;Department of Electrical Engineering, Florida Atlantic University, Boca Raton, USA 33431;Department of Computer Science & Engineering, Johnson C. Smith University, Charlotte, USA 28216

  • Venue:
  • Multidimensional Systems and Signal Processing
  • Year:
  • 2005

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Abstract

Model reduction of two-dimensional (2-D) Separable-in-Denominator Digital Filters (SDDF) using frequency domain balanced realization is proposed. The frequency domain controllability and observability Grammians are introduced and their appropriate Lyapunov equations are developed. The approach could be viewed as the generalization of the existing balanced structure approach in a specific frequency range of operation. Various properties of the proposed frequency domain balanced structure are investigated. A comparison study of the proposed method with the available techniques is presented using numerical examples