A New Algorithm for Optimal Filtering of Discrete-Time Stationary Processes
- 1 November 1974
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control
- Vol. 12 (4) , 736-746
- https://doi.org/10.1137/0312057
Abstract
An algorithm (which does not involve the usual Riccati-type equation) for computing t/e gain matrices of the Kalman filter is presented. If the dimension k of the state space is much larger than that of the observation process, the number of nonlinear equations to be solved in each step is of order k rather than k as by the usual procedure.Keywords
This publication has 7 references indexed in Scilit:
- Optimal Filtering of Continuous-Time Stationary Processes by Means of the Backward Innovation ProcessSIAM Journal on Control, 1974
- Computational requirements for a discrete Kalman filterIEEE Transactions on Automatic Control, 1971
- Recursive solution to the multichannel filtering problemJournal of Geophysical Research, 1965
- On the fitting of multivariate autoregressions, and the approximate canonical factorization of a spectral density matrixBiometrika, 1963
- A New Approach to Linear Filtering and Prediction ProblemsJournal of Basic Engineering, 1960
- The Fitting of Time-Series ModelsRevue de l'Institut International de Statistique / Review of the International Statistical Institute, 1960
- Toeplitz Forms and Their ApplicationsPhysics Today, 1958