documentation for Optimal filtering toolbox for mathematical software
package Matlab. The methods in the toolbox include Kalman filter, extended Kalman filter
and unscented Kalman filter for discrete time state space models. Also included in the toolbox
are the Rauch-Tung-Striebel and Forward-Backward smoother counter-parts for each filter, which
can be used to smooth the previous state estimates, after obtaining new measurements. The usage
and function of each method are illustrated with five demonstrations problems.
1
documentation for Optimal filtering toolbox for mathematical software
package Matlab. The methods in the toolbox include Kalman filter, extended Kalman filter
and unscented Kalman filter for discrete time state space models. Also included in the toolbox
are the Rauch-Tung-Striebel and Forward-Backward smoother counter-parts for each filter, which
can be used to smooth the previous state estimates, after obtaining new measurements. The usage
and function of each method are illustrated with five demonstrations problems.
1
卡爾曼濾波器是一個“Optimal recursive data processing algorithm（最優化自回歸數據處理算法）”。對于解決很大部分的問題，他是最優，效率最高甚至是最有用的。他的廣泛應用已經超過30年，包括機器人導航，控制，傳感器數據融合甚至在軍事方面的雷達系統以及導彈追蹤等等。近年來更被應用于計算機圖像處理，例如頭臉識別，圖像分割，圖像邊緣檢測等等。
