论文信息 - Solution of the Zakai Equation by Separation of Variables

Solution of the Zakai Equation by Separation of Variables

An exact expression for the unnormalized conditional density is derived for certain nonlinear estimation problems. The basic method is to solve the Zakai equation using separation of variables. This new filter is a generalization of the Kalman-Bucy filter, the Benes filter and other nonlinear filters within a unified framework.

Frederick E. Daum | F. Daum

[1] M. Zakai. On the optimal filtering of diffusion processes , 1969 .

[2] V. Benes. Exact finite-dimensional filters for certain diffusions with nonlinear drift , 1981 .

[3] W. Wong. New classes of finite-dimensional nonlinear filters , 1983 .

[4] V. E. Beneš. New exact nonlinear filters with large Lie algebras , 1985 .

[5] Exact solution to the Zakai equation for certain diffusions , 1985, 1985 24th IEEE Conference on Decision and Control.