Monte Carlo realisation of a distributed multi-object fusion algorithm

We consider the problem of distributed target tracking in a multi-object, multi-sensor scenario in which the structure of the joint distribution of the estimate between different nodes is unknown. In this paper we present a preliminary implementation of Generalised Covariance Intersection (GCI) fusion rule for multi-object posteriors through a Monte Carlo realisation. We discuss the subtleties in the case of multi-object distributions and derive a scheme for sampling from Exponential Mixture Densities which are at the heart of the GCI. We demonstrate the improvement in localisation of multiple targets in a simulation scenario. (5 pages)

[1]  Daniel E. Clark,et al.  Robust multi-object sensor fusion with unknown correlations , 2010 .

[2]  Ronald P. S. Mahler,et al.  Optimal/robust distributed data fusion: a unified approach , 2000, SPIE Defense + Commercial Sensing.

[3]  Adrian E. Raftery,et al.  Model-Based Clustering, Discriminant Analysis, and Density Estimation , 2002 .

[4]  M. C. Jones,et al.  A Brief Survey of Bandwidth Selection for Density Estimation , 1996 .

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

[6]  R. Mahler,et al.  PHD filters of higher order in target number , 2006, IEEE Transactions on Aerospace and Electronic Systems.

[7]  Jeffrey K. Uhlmann,et al.  Using Exponential Mixture Models for Suboptimal Distributed Data Fusion , 2006, 2006 IEEE Nonlinear Statistical Signal Processing Workshop.

[8]  Simon J. Julier,et al.  An Empirical Study into the Use of Chernoff Information for Robust, Distributed Fusion of Gaussian Mixture Models , 2006, 2006 9th International Conference on Information Fusion.

[9]  A. Doucet,et al.  Sequential Monte Carlo methods for multitarget filtering with random finite sets , 2005, IEEE Transactions on Aerospace and Electronic Systems.

[10]  M. Hurley An information theoretic justification for covariance intersection and its generalization , 2002, Proceedings of the Fifth International Conference on Information Fusion. FUSION 2002. (IEEE Cat.No.02EX5997).

[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.  Improved SMC implementation of the PHD filter , 2010, 2010 13th International Conference on Information Fusion.

[13]  P. J. Green,et al.  Density Estimation for Statistics and Data Analysis , 1987 .

[14]  Hugh F. Durrant-Whyte,et al.  Decentralised particle filtering for multiple target tracking in wireless sensor networks , 2008, 2008 11th International Conference on Information Fusion.

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