Conjecture on the Absence of Limit Cycles in Second-Order Digital Filters with Minimum L<sub>2</sub>-Sensitivity Subject to L<sub>2</sub>-Scaling Constraints

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  • Yamaki Shunsuke
    Research and Development Divisions, Cyberscience Center, Tohoku University
  • Abe Masahide
    Department of Electronic Engineering, Graduate School of Engineering, Tohoku University
  • Kawamata Masayuki
    Department of Electronic Engineering, Graduate School of Engineering, Tohoku University

抄録

This paper gives a conjecture on the absence of limit cycles in second-order digital filters with minimum L2-sensitivity subject to L2-scaling constraints. We design second-order digital filters for various pole-zero configurations. For given second-order digital filters, we synthesize the minimum L2-sensitivity realizations and examine whether their coefficient matrices satisfy a sufficient condition for the absence of limit cycles. Experimental results show that the minimum L2-sensitivity realizations subject to L2-scaling constraints of second-order digital filters satisfy a sufficient condition for the absence of limit cycles for all given practical pole-zero configurations.

収録刊行物

  • 信号処理

    信号処理 21 (2), 47-51, 2017

    信号処理学会

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