Closed Form Solutions to L2-Sensitivity Minimization Subject to L2-Scaling Constraints for Second-Order State-Space Digital Filters with Real Poles

Author:

YAMAKI Shunsuke1,ABE Masahide2,KAWAMATA Masayuki2

Affiliation:

1. International Advanced Research and Education Organization, Tohoku University

2. Department of Electronic Engineering, Graduate School of Engineering, Tohoku University

Publisher

Institute of Electronics, Information and Communications Engineers (IEICE)

Subject

Applied Mathematics,Electrical and Electronic Engineering,Computer Graphics and Computer-Aided Design,Signal Processing

Reference12 articles.

1. [1] 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.49, no.9, pp.1279-1289, Sept. 2002.

2. [2] T. Hinamoto, H. Ohnishi, and W.S. Lu, “Minimization of L2-sensitivity for state-space digital filters subject to L2-dynamic-range scaling constraints,” IEEE Trans. Circuits Syst. II, vol.52, no.10, pp.641-645, Oct. 2005.

3. [3] T. Hinamoto, K. Iwata, and W.S. Lu, “L2-sensitivity minimization of one- and two-dimensional state-space digital filters subject to L2-scaling constraints,” IEEE Trans. Signal Process., vol.54, no.5, pp.1804-1812, May 2006.

4. [4] S. Yamaki, M. Abe, and M. Kawamata, “A novel approach to L2-sensitivity minimization of digital filters subject to L2-scaling constraints,” Proc. IEEE International Symposium on Circuits and Systems, pp.5219-5222, Island of Kos, Greece, May 2006.

5. [5] T. Hinamoto and T. Oumi, “Minimization of L2-sensitivity for linear discrete-time systems subject to L2-scaling constraints using a lagrange function and a bisection method,” Proc. SICE-ICASE International Joint Conference, pp.1963-1967, Busan, Korea, Oct. 2006.

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