TY - JOUR
A2 - Lima, F. W. S.
A2 - Ruskin, H. J.
A2 - Corti, D. S.
AU - Assimakis, Nicholas
AU - Adam, Maria
PY - 2013
DA - 2013/12/12
TI - Kalman Filter Riccati Equation for the Prediction, Estimation, and Smoothing Error Covariance Matrices
SP - 249594
VL - 2013
AB - The classical Riccati equation for the prediction error covariance arises in linear estimation and is derived by the discrete time Kalman filter equations. New Riccati equations for the estimation error covariance as well as for the smoothing error covariance are presented. These equations have the same structure as the classical Riccati equation. The three equations are computationally equivalent. It is pointed out that the new equations can be solved via the solution algorithms for the classical Riccati equation using other well-defined parameters instead of the original Kalman filter parameters.
SN - null
UR - https://doi.org/10.1155/2013/249594
DO - 10.1155/2013/249594
JF - ISRN Computational Mathematics
PB - Hindawi Publishing Corporation
KW -
ER -