Constrained Sensor Control for Labeled Multi-Bernoulli Filter Using Cauchy-Schwarz Divergence

A constrained sensor control method is presented for multiobject tracking using labeled multi-Bernoulli filters. The proposed framework is based on a novel approximation of the Cauchy-Schwarz divergence between the labeled multi-Bernoulli prior and posterior densities, which does not need Monte Carlo sampling of random sets in the multiobject space. The void probability functional is also formulated for labeled multi-Bernoulli distributions and used within our proposed method to form a constrained sensor control solution. Numerical studies demonstrate that reasonably acceptable movements are decided for the controlled sensor by our sensor control method, with the advantage that the void probability constraint is formally considered as part of the sensor control optimization algorithm.

[1]  Alireza Bab-Hadiashar,et al.  Multi-Bernoulli sensor control using Cauchy-Schwarz divergence , 2016, 2016 19th International Conference on Information Fusion (FUSION).

[2]  D. Stoyan,et al.  Stochastic Geometry and Its Applications , 1989 .

[3]  Ronald Mahler,et al.  MULTITARGET SENSOR MANAGEMENT OF DISPERSED MOBILE SENSORS , 2004 .

[4]  Alireza Bab-Hadiashar,et al.  Multi-bernoulli sensor control for multi-target tracking , 2013, 2013 IEEE Eighth International Conference on Intelligent Sensors, Sensor Networks and Information Processing.

[5]  Alireza Bab-Hadiashar,et al.  Robust Multi-Bernoulli Sensor Selection for Multi-Target Tracking in Sensor Networks , 2013, IEEE Signal Processing Letters.

[6]  Ronald P. S. Mahler,et al.  Advances in Statistical Multisource-Multitarget Information Fusion , 2014 .

[7]  Alireza Bab-Hadiashar,et al.  Multi-Bernoulli sensor-selection for multi-target tracking with unknown clutter and detection profiles , 2016, Signal Process..

[8]  Klaus C. J. Dietmayer,et al.  The Labeled Multi-Bernoulli Filter , 2014, IEEE Transactions on Signal Processing.

[9]  Ba-Ngu Vo,et al.  On performance evaluation of multi-object filters , 2008, 2008 11th International Conference on Information Fusion.

[10]  Scott A. Sisson,et al.  Statistical Inference and Simulation for Spatial Point Processes , 2005 .

[11]  Ba-Ngu Vo,et al.  A Consistent Metric for Performance Evaluation of Multi-Object Filters , 2008, IEEE Transactions on Signal Processing.

[12]  Ba-Ngu Vo,et al.  Labeled Random Finite Sets and Multi-Object Conjugate Priors , 2013, IEEE Transactions on Signal Processing.

[13]  Ba-Ngu Vo,et al.  The Cauchy-Schwarz divergence for poisson point processes , 2014, 2014 IEEE Workshop on Statistical Signal Processing (SSP).

[14]  Ba-Ngu Vo,et al.  Sensor control for multi-target tracking using Cauchy-Schwarz divergence , 2015, 2015 18th International Conference on Information Fusion (Fusion).

[15]  Ba-Ngu Vo,et al.  A Note on the Reward Function for PHD Filters with Sensor Control , 2011, IEEE Transactions on Aerospace and Electronic Systems.

[16]  Ba-Ngu Vo,et al.  Labeled Random Finite Sets and the Bayes Multi-Target Tracking Filter , 2013, IEEE Transactions on Signal Processing.

[17]  Ba-Ngu Vo,et al.  Derivation of the PHD and CPHD Filters Based on Direct Kullback–Leibler Divergence Minimization , 2015, IEEE Transactions on Signal Processing.

[18]  Daryl J. Daley,et al.  An Introduction to the Theory of Point Processes , 2013 .

[19]  Ronald P. S. Mahler,et al.  Statistical Multisource-Multitarget Information Fusion , 2007 .

[20]  Ba-Ngu Vo,et al.  Sensor control for multi-object state-space estimation using random finite sets , 2010, Autom..

[21]  R. Mahler Multitarget Bayes filtering via first-order multitarget moments , 2003 .

[22]  Ba-Ngu Vo,et al.  Void Probabilities and Cauchy–Schwarz Divergence for Generalized Labeled Multi-Bernoulli Models , 2015, IEEE Transactions on Signal Processing.

[23]  Ba-Tuong Vo,et al.  Sensor management for multi-target tracking via multi-Bernoulli filtering , 2013, Autom..

[24]  Ba-Tuong Vo,et al.  Control of sensor with unknown clutter and detection profile using Multi-Bernoulli filter , 2013, Proceedings of the 16th International Conference on Information Fusion.

[25]  Alireza Bab-Hadiashar,et al.  OSPA-based sensor control , 2015, 2015 International Conference on Control, Automation and Information Sciences (ICCAIS).