Derivation of a fixed-lag, alpha-beta filter for target trajectory smoothing

T.L. Ogle1, W.D. Blair1
1Sensors and Electromagnetic Applications Laboratory, Georgia Tech Research Institute, Georgia Institute of Technology, Atlanta, GA, USA

Tóm tắt

A fixed-lag Kalman smoother is used for target trajectory reconstruction in post mission data analysis from noisy sensor data, where lag is the time difference between the latest available measurement and the smoothed estimate. Based on the steady-state conditions of a Kalman smoother, a derivation of the steady-state gains and the covariance matrix for a fixed-lag, alpha-beta smoother is presented. The equations for the steady state covariance matrices of the alpha-beta filter and the alpha-beta fixed-lag smoother are used to characterize the benefits to state estimation that result from fixed-lag smoothing.

Từ khóa

#Trajectory #Smoothing methods #State estimation #Steady-state #Time measurement #Kalman filters #Covariance matrix #Equations #Noise measurement #Filtering

Tài liệu tham khảo

10.1109/7.220956 10.1109/7.481286 10.1109/7.845263 blair, 1992, Fixed Gain, two stage estimators for tracking maneuvering targets, Naval Surface Warfare Center Dahlgren Division Dahlgren, 22448 anderson, 1979, Optimal Filtering, 176