Bearings-Only Maneuvering Target Motion Analysis from a Nonmaneuvering Platform

In bearings-only target motion analysis (BOTMA), the common hypothesis is that the observer maneuvers while the source is traveling according to a constant speed and course. But there is no reason that the roles of each protagonist cannot be exchanged. In this paper, we consider an uncommon scenario: the trajectory of the target is composed of two legs (i.e., a target brutally changes its heading while keeping its speed) and the observer does not maneuver. We prove that the trajectory of the target is observable under nonrestrictive conditions. A batch estimator is proposed, and its performance is compared with the classic Cramer-Rao lower bound (CRLB). Monte-Carlo simulations reveal the efficiency of the estimator. The robustness to a nonbrutal heading change is evaluated. Then an adhoc estimate taking the correct model into account is proposed and applied to simulated data. Again, its performance is compared with the CRLB, and its robustness is evaluated when the speed of the target changes. Finally, the respective performances of the target motion analysis (TMA) made by each mobile are compared.

[1]  C. Jauffret Observability and fisher information matrix in nonlinear regression , 2007, IEEE Transactions on Aerospace and Electronic Systems.

[2]  Jean-Francois Grandin,et al.  Bearings-only target motion analysis by estimation of densities , 1998, 9th European Signal Processing Conference (EUSIPCO 1998).

[3]  J. Holst,et al.  On target manoeuvres in bearings only tracking (sonar) , 1991, [1991] Conference Record of the Twenty-Fifth Asilomar Conference on Signals, Systems & Computers.

[4]  Alfonso Farina,et al.  Target tracking with bearings - Only measurements , 1999, Signal Process..

[5]  S. K. Rao Algorithm for detection of manoeuvring targets in bearings-only passive target tracking , 1999 .

[6]  Branko Ristic,et al.  Tracking a manoeuvring target using angle-only measurements: algorithms and performance , 2003, Signal Process..

[7]  C. Jauffret,et al.  Observability in passive target motion analysis , 1996 .

[8]  Brian H. Maranda,et al.  Localization of a maneuvering target using simulated annealing , 1993 .

[9]  J. Le Cadre,et al.  Discrete-time observability and estimability analysis for bearings-only target motion analysis , 1997, IEEE Transactions on Aerospace and Electronic Systems.

[10]  S. K. Rao,et al.  Modified gain extended Kalman filter with application to bearings-only passive manoeuvring target tracking , 2005 .

[11]  Dinh Tuan Pham Some Quick and Efficient Methods for Target Motion Analysis , 1993 .

[12]  S. Nardone,et al.  A closed-form solution to bearings-only target motion analysis , 1997 .

[13]  Jean-Pierre Le Cadre,et al.  Optimizing the receiver maneuvers for bearings-only tracking , 1999, Autom..

[14]  Sailes K. Sengijpta Fundamentals of Statistical Signal Processing: Estimation Theory , 1995 .

[15]  J. Passerieux,et al.  Optimal observer maneuver for bearings-only tracking , 1998 .

[16]  J. Holst,et al.  On Target Manoeuvres in Bearings Only Tracking , 1991 .

[17]  V. Aidala,et al.  Observability Criteria for Bearings-Only Target Motion Analysis , 1981, IEEE Transactions on Aerospace and Electronic Systems.

[18]  K. Gong,et al.  Fundamental properties and performance of conventional bearings-only target motion analysis , 1984 .

[19]  Y. Bar-Shalom,et al.  Bearings-only tracking of maneuvering targets using a batch-recursive estimator , 2001 .

[20]  D. Pillon,et al.  Inter array multi-tracks association , 1989, International Conference on Acoustics, Speech, and Signal Processing,.

[21]  K. Becker,et al.  A general approach to TMA observability from angle and frequency measurements , 1996, IEEE Transactions on Aerospace and Electronic Systems.

[22]  Denis Pillon,et al.  Bearings-only TMA without observer maneuver , 2008, 2008 11th International Conference on Information Fusion.

[23]  J.E. Dennis,et al.  A user's guide to nonlinear optimization algorithms , 1984, Proceedings of the IEEE.

[24]  Ronald Mucci,et al.  Target parameter estimation using measurements acquired with a small number of sensors , 1983 .

[25]  Jean-Michel Passerieux,et al.  Fusion of reduced-rank TMA estimates , 2000, IEEE Trans. Aerosp. Electron. Syst..

[26]  K. Becker Passive localization of frequency-agile radars from angle and frequency measurements , 1999 .

[27]  A. Payne Observability Conditions For Angles-only Tracking* , 1988, Twenty-Second Asilomar Conference on Signals, Systems and Computers.

[28]  Branko Ristic,et al.  Bearings-Only Tracking of Manoeuvring Targets Using Particle Filters , 2004, EURASIP J. Adv. Signal Process..

[29]  H. V. Trees Detection, Estimation, And Modulation Theory , 2001 .

[30]  D. Pillon,et al.  Target Motion Analysis With Bearings And Frequencies Measurements , 1988, Twenty-Second Asilomar Conference on Signals, Systems and Computers.