Simplified Computation of l2-Sensitivity for 1-D and a Class of 2-D State-Space Digital Filters Considering 0 and +-1 Elements

Yoichi Hinamoto, Akimitsu Doi

2013

Abstract

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References

  1. Fornasini, E. and Marchesini, G. (1978). Doubly-indexed dynamical systems: State-space models and structural properties. Math Syst. Theory, 12:59-72.
  2. Gevers, M. and Li, G. (1993). Parameterizations in Control, Estimation and Filtering Problems: Accuracy Aspects. Springer-Verlag.
  3. Hinamoto, T. (2001). A novel local state-space model for 2-d digital filters and its properties. Proc. 2001 IEEE Int. Symp. Circuits Syst., 2:545-548.
  4. Hinamoto, T., Hamanaka, T., and Maekawa, S. (Sept. 1990). Synthesis of 2-d state-space digital filters with low sensitivity based on the fornasini-marchesini model. IEEE Trans. Acoust., Speech, Signal Processing, ASSP-38:1587-1594.
  5. Hinamoto, T., Iwata, K., O.I.Omoifo, Ohno, S., and Lu, W.- S. (July. 2006). Optimal synthesis of a class of 2-d digital filters with minimum l2-sensitivity and no overflow oscillations. IEICE Trans. Fundamentals, E89- A:1987-1994.
  6. Hinamoto, T., Ohnishi, H., and Lu, W.-S. (Oct. 2005). Minimization of l2-sensitivity for state-space digital filters subject to l2-dynamic-range scaling constraints. IEEE Trans. Circuits Syst. II, 52:641-645.
  7. Hinamoto, T., Yokoyama, S., Inoue, T., Zeng, W., and Lu, W.-S. (Sept. 2002). Analysis and minimization of l2- sensitivity for linear systems and two-dimensional 2- d state-space filters using general controllability and observability gramians. IEEE Trans. Circuits Syst. I, 49:1279-1289.
  8. Hinamoto, Y. and Doi, A. (2012). Analysis of l2-sensitivity for canonical forms in 1-d and 2-d separabledenominator digital filters. Proc. 2012 IEEE Int. Midwest Symp. Circuits Syst., pages 920-923.
  9. Iwatsuki, M., Kawamata, M., and Higuchi, T. (Jan. 1989). Statistical sensitivity and minimum sensitivity structures with fewer coefficients in discrete time linear systems. IEEE Trans. Circuits Syst., 37:72-80.
  10. Kawamata, M., Lin, T., and Higuchi, T. (1987). Minimization of sensitivity of 2-d state-space digital filters and its relation to 2-d balanced realizations. Proc. 1987 IEEE Int. Symp. Circuits Syst., pages 710-713.
  11. Li, G. (July 1997). On frequency weighted minimal l2 sensitivity of 2-d systems using fornasini-marchesini lss model. IEEE Trans. Circuits Syst. I, 44:642-646.
  12. Li, G. (Mar. 1998). Two-dimensional system optimal realizations with l2-sensitivity minimization. IEEE Trans. Signal Processing, 46:809-813.
  13. Li, G., Anderson, B. D. O., Gevers, M., and Perkins, J. E. (May 1992). Optimal fwl design of state-space digital systems with weighted sensitivity minimization and sparseness consideration. IEEE Trans. Circuits Syst. I, 39:365-377.
  14. Li, G. and Gevers, M. (1992). Optimal synthetic fwl design of state-space digital filters. Proc. ICASSP 1992, San Francisco, CA, 4:429-432.
  15. Li, G. and Gevers, M. (Dec. 1990). Optimal finite precision implementation of a state-estimate feedback controller. IEEE Trans. Circuits Syst., 37:1487-1498.
  16. Roessor, R. P. (Feb. 1975). A discrete state-space model for linear image processing. IEEE Trans. Automat. Contr., AC-20:1-10.
  17. Thiele, L. (Jan. 1984). Design of sensitivity and round-off noise optimal state-space discrete systems. Int. J. Circuit Theory Appl., 12:39-46.
  18. Thiele, L. (May 1986). On the sensitivity of linear statespace systems. IEEE Trans. Circuits Syst., CAS33:502-510.
  19. Xiao, C. (Apr. 1997). Improved l2-sensitivity for statespace digital systems. IEEE Trans. Signal Processing, 45:837-840.
  20. Yamaki, S., Abe, M., and Kawamata, M. (2006). A novel approach to l2-sensitivity minimization of digital filters subject to l2-scaling constraints. Proc. 2006 IEEE Int. Symp. Circuts Syst., pages 5219-5222.
  21. Yamaki, S., Abe, M., and Kawamata, M. (2007). A fast convergence algorithm for l2-sensitivity minimization of 2-d separable-denominator state-space digital filters. Proc. 2007 IEEE Int. Symp. Circuts Syst., pages 2722- 2725.
  22. Yan, W.-Y. and Moore, J. B. (Aug. 1992). On l2-sensitivity minimization of linear state-space systems. IEEE Trans. Circuits Syst. I, 39:641-648.
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Paper Citation


in Harvard Style

Hinamoto Y. and Doi A. (2013). Simplified Computation of l2-Sensitivity for 1-D and a Class of 2-D State-Space Digital Filters Considering 0 and +-1 Elements . In Proceedings of the 10th International Conference on Signal Processing and Multimedia Applications and 10th International Conference on Wireless Information Networks and Systems - Volume 1: SIGMAP, (ICETE 2013) ISBN 978-989-8565-74-7, pages 53-58. DOI: 10.5220/0004434200530058


in Bibtex Style

@conference{sigmap13,
author={Yoichi Hinamoto and Akimitsu Doi},
title={Simplified Computation of l2-Sensitivity for 1-D and a Class of 2-D State-Space Digital Filters Considering 0 and +-1 Elements},
booktitle={Proceedings of the 10th International Conference on Signal Processing and Multimedia Applications and 10th International Conference on Wireless Information Networks and Systems - Volume 1: SIGMAP, (ICETE 2013)},
year={2013},
pages={53-58},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004434200530058},
isbn={978-989-8565-74-7},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 10th International Conference on Signal Processing and Multimedia Applications and 10th International Conference on Wireless Information Networks and Systems - Volume 1: SIGMAP, (ICETE 2013)
TI - Simplified Computation of l2-Sensitivity for 1-D and a Class of 2-D State-Space Digital Filters Considering 0 and +-1 Elements
SN - 978-989-8565-74-7
AU - Hinamoto Y.
AU - Doi A.
PY - 2013
SP - 53
EP - 58
DO - 10.5220/0004434200530058