Multisource Spatiotemporal Tracking Using Sparse Large Aperture Arrays

In this paper, a multisource tracking technique is proposed using a sparse large aperture array of passive sensors of known geometry. First, a novel spherical-spatiotemporal-state-space model is introduced incorporating target ranges, directions, and Doppler effects in conjunction with the array geometry. Subsequently, this array of sensors is integrated with an extended Kalman filter (EKF), defined as the arrayed EKF, to track the trajectory of multiple mobile sources. In addition, a recursive lower bound on the performance of the proposed tracking method is obtained based on the posterior Cramer–Rao bound. Computer simulation studies show that the proposed approach can track the locations of sources, as these move in space, with a very high accuracy.

[1]  Thia Kirubarajan,et al.  Probabilistic data association techniques for target tracking in clutter , 2004, Proceedings of the IEEE.

[2]  B. Zhou,et al.  Tracking the direction of arrival of multiple moving targets , 1994, IEEE Trans. Signal Process..

[3]  Chen-Khong Tham,et al.  Energy Efficient Multiple Target Tracking in Wireless Sensor Networks , 2007, IEEE Transactions on Vehicular Technology.

[4]  A. Farina,et al.  International Conference on Information Fusion ( FUSION ) A Performance Bound for Manoeuvring Target Tracking Using Best-Fitting Gaussian Distrbutions , 2006 .

[5]  Thomas Kailath,et al.  Detection of signals by information theoretic criteria , 1985, IEEE Trans. Acoust. Speech Signal Process..

[6]  Athanassios Manikas,et al.  Superresolution Multitarget Parameter Estimation in MIMO Radar , 2013, IEEE Transactions on Geoscience and Remote Sensing.

[7]  Volkan Cevher,et al.  Acoustic Multitarget Tracking Using Direction-of-Arrival Batches , 2007, IEEE Transactions on Signal Processing.

[8]  Rick S. Blum,et al.  Target Localization and Tracking in Noncoherent Multiple-Input Multiple-Output Radar Systems , 2012, IEEE Transactions on Aerospace and Electronic Systems.

[9]  Y. Bar-Shalom,et al.  Tracking in a cluttered environment with probabilistic data association , 1975, Autom..

[10]  Henry Leung,et al.  Tracking the direction-of-arrival of multiple moving targets by passive arrays: algorithm , 1999, IEEE Trans. Signal Process..

[11]  Petre Stoica,et al.  Performance study of conditional and unconditional direction-of-arrival estimation , 1990, IEEE Trans. Acoust. Speech Signal Process..

[12]  Phani Chavali,et al.  Scheduling and Power Allocation in a Cognitive Radar Network for Multiple-Target Tracking , 2012, IEEE Transactions on Signal Processing.

[13]  Volkan Cevher,et al.  General direction-of-arrival tracking with acoustic nodes , 2005, IEEE Transactions on Signal Processing.

[14]  C. S. Ryu,et al.  Multiple target angle tracking algorithm using predicted angles , 1994 .

[15]  Xin Zhang,et al.  Dynamic Cramer-Rao bound for target tracking in clutter , 2005, IEEE Transactions on Aerospace and Electronic Systems.

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

[17]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[18]  Amiya Nayak,et al.  An Efficient Approach for Mobile Asset Tracking Using Contexts , 2012, IEEE Transactions on Parallel and Distributed Systems.

[19]  C. Morefield Application of 0-1 integer programming to multitarget tracking problems , 1977 .

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

[21]  Qian Sun,et al.  Kalman-Filter-Based Approach for Multisensor, Multitrack, and Multitemporal InSAR , 2013, IEEE Transactions on Geoscience and Remote Sensing.

[22]  Lutz H.-J. Lampe,et al.  Distributed target tracking using signal strength measurements by a wireless sensor network , 2010, IEEE Journal on Selected Areas in Communications.

[23]  Christophe Magnard,et al.  Moving-Target Tracking in Single-Channel Wide-Beam SAR , 2012, IEEE Transactions on Geoscience and Remote Sensing.

[24]  Carlos H. Muravchik,et al.  Posterior Cramer-Rao bounds for discrete-time nonlinear filtering , 1998, IEEE Trans. Signal Process..

[25]  L.J. Cimini,et al.  MIMO Radar with Widely Separated Antennas , 2008, IEEE Signal Processing Magazine.

[26]  Richard Kenefic,et al.  Sensor Netting via the Discrete Time Extended Kalman Filter , 1981, IEEE Transactions on Aerospace and Electronic Systems.

[27]  Athanassios Manikas,et al.  Source Localization Using Sparse Large Aperture Arrays , 2012, IEEE Transactions on Signal Processing.

[28]  J. Rissanen,et al.  Modeling By Shortest Data Description* , 1978, Autom..

[29]  P. Smith,et al.  A branching algorithm for discriminating and tracking multiple objects , 1975 .

[30]  S. Pardini,et al.  Survey of radar data-processing techniques in air-traffic-control and surveillance systems , 1980 .

[31]  Kristine L. Bell,et al.  Posterior CramrRao Bound for Tracking Target Bearing , 2007 .

[32]  Alfonso Farina,et al.  Posterior Cramér-Rao Bound for Target Tracking in the Presence of Multipath , 2018, 2018 21st International Conference on Information Fusion (FUSION).

[33]  Mohammed Ismail,et al.  Hybrid vehicle positioning and tracking using mobile phones , 2011, 2011 11th International Conference on ITS Telecommunications.

[34]  William Fitzgerald,et al.  A Bayesian approach to tracking multiple targets using sensor arrays and particle filters , 2002, IEEE Trans. Signal Process..

[35]  Archan Misra,et al.  Exploiting information theory for adaptive mobility and resource management in future cellular networks , 2004, IEEE Wirel. Commun..

[36]  H. Akaike,et al.  Information Theory and an Extension of the Maximum Likelihood Principle , 1973 .

[37]  Athanassios Manikas,et al.  Space-Doppler parameter estimation for space-time-Doppler reception in time-varying multipath DS-CDMA systems , 2002, 2002 14th International Conference on Digital Signal Processing Proceedings. DSP 2002 (Cat. No.02TH8628).