Optimization of linear observations for the stationary kalman filter based on a generalized water filling theorem

International Journal of Innovative Computing, Information and Control

Volumn 4, Issue 1, 2008, Pages 211-230

  Takeuchi, Yoshiki ^a  

^a OSAKA KYOIKU UNIVERSITY   (Japan)

Author keywords

Gaussian processes; Kalman filter; Least squares state estimation; Optimal transmission

Indexed keywords

EID: 48249132665     PISSN: 13494198     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (13)

1. R. E. Kalman, A new approach to linear filtering and prediction problems, Trans. ASME, J. Basic Eng., vol.82D, pp.33-45, 1960.
2. M. Athans, On the determination of optimal costly measurement strategies for linear stochastic systems, Prep. 5th IFAC World Congress, Paris, pp.1-11, 1972.
3. A. Logothetis, A. Isaksson and E. Skafidas, On sensor scheduling via information theoretic criteria, Prep. ACC, 1999.
4. M. Aoki and M. T. Li, Optimal discrete time control system with cost for observation, IEEE Trans. Automatic Control, vol.AC-14, no.2, pp.165-175, 1969.
5. A. Sano and M. Terao, Measurement optimization in optimal process control, Automatica, vol.5, pp.705-714, 1970.
6. S. Ihara, Coding theory in white Gaussian channel with feedback, J. Multi-υariate Analysis, vol.4, pp.74-87, 1974.
7. Y. Takeuchi, The optimal transmission of non-Gaussian signals through a noisy channel with feedback, IEEE Tmns. Inform. Theory, vol.IT-40, no.5, pp.1624-1629, 1994.
8. Y. Takeuchi, M. Sowa and K. Horikawa, An information theoretic scheme for sensor allocation of linear least-squares estimation, Proc. of the SICE (Society of Instrument and Control Engineers, Japan) Annual Conference, Osaka, Japan, pp.248-253, 2002.
9. Y. Takeuchi, An information theoretic approach to optimization of linear observations for the Kalman-Bucy filter, International Journal of Innovative Computing, Information and Control, vol.l, no.3, pp.401-416, 2005.
10. Y. Takeuchi, Optimal transmission of a set of discrete-time Gaussian signals through channels with feed-back, International Journal of Innovative Computing, Information and Control, vol.2, no.5, pp.927-942, 2006.
11. Y. Takeuchi and A. Ida, Optimal transmission of a set of Gaussian signals through discrete-time channels with feedback, Proc. of the 35th ISCIE International Symposium on Stochastic Systems Theory and Its Applications, Yamaguchi, Japan, 2003, pp.118-123, 2004.
12. Y. Takeuchi, Optimal transmission of a set of correlated Gaussian signals through parallel channels with feedback - A generalized water filling theorem and its application -, in preparation.
13. T. M. Cover and J. A. Thomas, Elements of Information Theory, Wiley, New York, 1991.