Separate/joint optimization of error feedback and realization for roundoff noise minimization in a class of 2-D state-space digital filters

  • Authors:
  • Takao Hinamoto;Toru Oumi;Wu-Sheng Lu

  • Affiliations:
  • Graduate School of Engineering, Hiroshima University, Higashi-Hiroshima, Japan 739-8527;Graduate School of Engineering, Hiroshima University, Higashi-Hiroshima, Japan 739-8527;Department of Electrical and Computer Engineering, University of Victoria, Victoria, Canada V8W 3P6

  • Venue:
  • Multidimensional Systems and Signal Processing
  • Year:
  • 2007

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Abstract

Techniques for the separate/joint optimization of error-feedback and realization are developed to minimize the roundoff noise subject to l 2-norm dynamic-range scaling constraints for a class of 2-D state-space digital filters. In the joint optimization, the problem at hand is converted into an unconstrained optimization problem by using linear-algebraic techniques. The unconstrained problem obtained is then solved by applying an efficient quasi-Newton algorithm. A numerical example is presented to illustrate the utility of the proposed techniques.