In this paper, a new passive modified iterated extended Kalman filter (MIEKF) using the combined set of beatings and frequency measurements in Earth Centered Inertial (ECI) coordinate is proposed. A new measuremen...In this paper, a new passive modified iterated extended Kalman filter (MIEKF) using the combined set of beatings and frequency measurements in Earth Centered Inertial (ECI) coordinate is proposed. A new measurement update equation of MIEKF is derived by modifying the objective function of the Gauss-Newton iteration. A new gain equation and iteration termination criteria are acquired by applying the property of the maximum likelihood estimate. The approximated second order linearized state propagation equation, Jacobian matrix of state transfer and measurement equations are derived in satellite two-body movement. The tracking performances of MIEKF, iterated extended Kalman filter (IEKF) and extended Kalman filter (EKF) are compared via Monte Carlo simulations through simulated data from STK8.1. Simulation results indicate that the proposed MIEKF is possible to passively track low earth circular orbit satellite by a high earth orbit satellite, and has higher tracking precision than the IEKF and EKF.展开更多
基金partly supported by the National Natural Science Foundation of China(No.61104196)the China Specialized Research Fund for the Doctoral Program of Higher Education(No.200802881017)+1 种基金Nanjing University of Science and Technology Research Funding(No.2010ZYTS051)the 'Zijin star' Research Funding(No.AB41381)
文摘In this paper, a new passive modified iterated extended Kalman filter (MIEKF) using the combined set of beatings and frequency measurements in Earth Centered Inertial (ECI) coordinate is proposed. A new measurement update equation of MIEKF is derived by modifying the objective function of the Gauss-Newton iteration. A new gain equation and iteration termination criteria are acquired by applying the property of the maximum likelihood estimate. The approximated second order linearized state propagation equation, Jacobian matrix of state transfer and measurement equations are derived in satellite two-body movement. The tracking performances of MIEKF, iterated extended Kalman filter (IEKF) and extended Kalman filter (EKF) are compared via Monte Carlo simulations through simulated data from STK8.1. Simulation results indicate that the proposed MIEKF is possible to passively track low earth circular orbit satellite by a high earth orbit satellite, and has higher tracking precision than the IEKF and EKF.