Conjecture on the Absence of Limit Cycles in Second-Order Digital Filters with Minimum L2-Sensitivity Subject to L2-Scaling Constraints
Author:
Affiliation:
1. Research and Development Divisions, Cyberscience Center, Tohoku University
2. Department of Electronic Engineering, Graduate School of Engineering, Tohoku University
Publisher
Research Institute of Signal Processing, Japan
Link
https://www.jstage.jst.go.jp/article/jsp/21/2/21_47/_pdf
Reference14 articles.
1. [1] M. Kawamata and T. Higuchi: On the absence of limit cycles in a class of state-space digital filters which contains minimum noise realizations, IEEE Trans. Acoust. Speech Signal Process., Vol. ASSP-32, No. 4, pp. 928-930, 1984.
2. [2] M. Kawamata and T. Higuchi: A unified approach to the optimal synthesis of fixed-point state-space digital filters, IEEE Trans. Acoust. Speech Signal Process., Vol. ASSP-33, No. 4, pp. 911-920, 1985.
3. [3] W. -Y. Yan and J. B. Moore: On L2-sensitivity minimization of linear state-space systems, IEEE Trans. Circuits Syst. I, Vol. 39, No. 8, pp. 641-648, 1992.
4. [4] T. Hinamoto, S. Yokoyama, T. Inoue, W. Zeng and W. -S. Lu: Analysis and minimization of L2-sensitivity for linear systems and two-dimensional state-space filters using general controllability and observability gramians, IEEE Trans. Circuits Syst., Vol. CAS-49, No. 9, pp. 1279-1289, 2002.
5. [5] T. Hinamoto, H. Ohnishi and W. -S. Lu: Minimization of L2-sensitivity for state-space digital filters subject to L2-dynamicrange scaling constraints, IEEE Trans. Circuits Syst. II, Vol. 52, No. 10, pp. 641-645, 2005.
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