论文信息 - On Kalman filtering for 2-D Fornasini-Marchesini models

On Kalman filtering for 2-D Fornasini-Marchesini models

This paper deals with the problem of signal estimation for two-dimensional systems. More specifically, we propose a Kalman filter for 2-D systems in Fornasini-Marchesini model, without pre-imposing its structure. It will be shown that the filter thus obtained is not in a Fornasini-Marchesini form, but it still has a recursive structure.

[1] Shengyuan Xu,et al. A Generalized Kalman Filter for 2D Discrete Systems , 2004, The 2004 47th Midwest Symposium on Circuits and Systems, 2004. MWSCAS '04..

[2] M. Kosaka,et al. Recursive filtering algorithm for a two-dimensional system , 1979 .

[3] W. Porter,et al. State estimation in discrete m-D systems , 1986 .

[4] M. Sebek,et al. Polynomial solution of 2D Kalman-Bucy filtering problem , 1992 .

[5] Wu-Sheng Lu. On a Lyapunov approach to stability analysis of 2-D digital filters , 1994 .

[6] A. Habibi. Two-dimensional Bayesian estimate of images , 1972 .

[7] J. Woods,et al. Kalman filtering in two dimensions: Further results , 1981 .

[8] Cishen Zhang,et al. Generalized Two-Dimensional Kalman–Yakubovich–Popov Lemma for Discrete Roesser Model , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

[9] R. Roesser. A discrete state-space model for linear image processing , 1975 .

[10] JOHN w. WOODS,et al. Kalman filtering in two dimensions , 1977, IEEE Trans. Inf. Theory.

[11] Lihua Xie,et al. H∞ filtering of 2-D discrete systems , 2000, IEEE Trans. Signal Process..

[12] M. S. Fadali,et al. Optimal control of 2-D systems , 1991 .