Profile-Free Launch Point estimation for ballistic targets using passive sensors

In this paper, the estimation of the Launch Points (LP) of ballistic targets using angle-only measurements from two ormore passive satellite-borne sensors is considered. The targets are assumed to have a two stage boost phase with a free-flight phase between the two stages. Due to the passive nature of the sensors, there is no measurement during the free-flight motion. It is also assumed that measurements are available only after a few seconds from the launch time due to cloud cover. In the literature, profile-based methods have been proposed to estimate the target's launch point and trajectory. Profile-based methods normally result in large errors when there is a mismatch between actual and assumed profiles, which is the case in most scenarios. In this paper, a profile-free method is proposed to estimate the target states at the End-of-Burnout (EOB) and LP. Estimates at the EOB are obtained by using forward-filtering with adaptive model selection based on boost phase changes. The LP estimates are obtained using smoothing followed by backward prediction. Uncertainties in the motion model and the launch time must be incorporated in backward prediction. LP estimates and corresponding error covariance are obtained by incorporating the above uncertainties. Simulation results illustrating the performance of the proposed approach are also presented.

[1]  A. Gualtierotti.  H. L. Van Trees, Detection, Estimation, and Modulation Theory, , 1976 .

[2]  A. Farina,et al.  Classification and launch-impact point prediction of ballistic target via multiple model maximum likelihood estimator (MM-MLE) , 2006, 2006 IEEE Conference on Radar.

[3]  P. W. Richards.  Constrained Kalman Filtering Using Pseudo-measurements , 1995 .

[4]  Robert G. Hutchins,et al.  Studies in trajectory tracking and launch point determination for ballistic missile defense , 2006, SPIE Defense + Commercial Sensing.

[5]  Petr Tichavský,et al.  Filtering, predictive, and smoothing Cramér-Rao bounds for discrete-time nonlinear dynamic systems , 2001, Autom..

[6]  James R. Van Zandt.  Boost phase tracking with an unscented filter , 2002 .

[7]  H. S. Wolff,et al.  iRun: Horizontal and Vertical Shape of a Region-Based Graph Compression , 2022, Sensors.

[8]  M. Melamed.  Detection , 2021, SETI: Astronomy as a Contact Sport.

[9]  Richard W. Osborne,et al.  Statistical Efficiency of Composite Position Measurements from Passive Sensors , 2013, IEEE Transactions on Aerospace and Electronic Systems.

[10]  Larry N. Lillard,et al.  Minimum variance missile launch and impact estimation by fusing observations from multiple sensors , 1997, 1997 IEEE Aerospace Conference.

[11]  X. R. Li,et al.  Survey of maneuvering target tracking: II. Ballistic target models , 2001 .

[12]  J. Bather,et al.  Tracking and data fusion , 2001 .

[13]  Thiagalingam Kirubarajan,et al.  Estimation with Applications to Tracking and Navigation , 2001 .

[14]  Y. Bar-Shalom,et al.  Trajectory and launch point estimation for ballistic missiles from boost phase LOS measurements , 1999, 1999 IEEE Aerospace Conference. Proceedings (Cat. No.99TH8403).

[15]  Yakov Bar-Shalom,et al.  Multitarget-Multisensor Tracking: Principles and Techniques , 1995 .

[16]  S. Musick,et al.  Projectile launch point estimation from radar measurements , 2005, Proceedings of the 2005, American Control Conference, 2005..

[17]  W. Farrell,et al.  Interacting multiple model filter for tactical ballistic missile tracking , 2008, IEEE Transactions on Aerospace and Electronic Systems.

[18]  N. J. Danis,et al.  Space-based tactical ballistic missile launch parameter estimation , 1993 .

[19]  A. Farina,et al.  Tracking of a Ballistic Missile with A-Priori Information , 2007, IEEE Transactions on Aerospace and Electronic Systems.

[20]  G Girija,et al.  Estimation of Launch and Impact Points of a Flight Trajectory using U-D Kalman Filter/Smoother , 2006 .

[21]  X. Rong Li,et al.  A Survey of Maneuvering Target Tracking — Part II : Ballistic Target Models , 2001 .

[22]  Paul Zarchan,et al.  Boost-Phase Filtering Options: Is Simpler Better? , 2010 .

[23]  Y. Bar-Shalom,et al.  Multisensor resource deployment using posterior Cramer-Rao bounds , 2004, IEEE Transactions on Aerospace and Electronic Systems.

[24]  Ratnasingham Tharmarasa,et al.  Interacting multiple model forward filtering and backward smoothing for maneuvering target tracking , 2009, Optical Engineering + Applications.