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Synthesis of 3-D Separable-Denominator State-Space Digital Filters with Minimum L 2-Sensitivity

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Abstract

This paper deals with the analysis and minimization of L 2-sensitivity for three-dimensional state-space digital filters which are separable in the denominator. First, a novel expression for evaluating the L 2-sensitivity is developed in closed form. An iterative procedure for synthesizing the optimal filter structures is then presented so as to minimize the L 2-sensitivity. Finally, a numerical example is given to illustrate the utility of the proposed technique.

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Authors and Affiliations

  1. Graduate School of Engineering, Hiroshima University, Higashi-Hiroshima, 739-8527, Japan

    Takao Hinamoto & Yuji Sugie

  2. Department of Electrical and Digital System Engineering, Hiroshima Institute of Technology, 2-1-1 Miyake, Saeki-ku, Hiroshima, 731-5193, Japan

    Akimitsu Doi

  3. Department of Electronic Engineering, Kansai University, 3-3-35 Yamate-cho, Suita, Osaka, 564-8680, Japan

    Mitsuji Muneyasu

Authors
  1. Takao Hinamoto
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  2. Yuji Sugie
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  3. Akimitsu Doi
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  4. Mitsuji Muneyasu
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Hinamoto, T., Sugie, Y., Doi, A. et al. Synthesis of 3-D Separable-Denominator State-Space Digital Filters with Minimum L 2-Sensitivity. Multidimensional Systems and Signal Processing 15, 147–167 (2004). https://doi.org/10.1023/B:MULT.0000017023.22067.aa

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