eprintid: 188
rev_number: 4
eprint_status: archive
userid: 6
dir: disk0/00/00/01/88
datestamp: 2008-10-31
lastmod: 2015-05-29 19:49:00
status_changed: 2009-04-08 16:55:35
type: report
metadata_visibility: show
item_issues_count: 0
creators_name: Yewchuk, Kerianne
creators_name: Ketelsen, Christian
creators_name: Limon, Alfonso
creators_name: Mileyko, Yuryi
contributors_name: Kouritzin, Michael
contributors_name: Hoffman, John
title: Tracking and Identifying of Multiple Targets
ispublished: pub
subjects: aerodef
studygroups: ipsw7
companyname: Lockheed-Martin
full_text_status: public
abstract: There are many statistical methods of tracking single and multiple targets; this manuscript will focus on the state estimation problem. Ideally, a generalization of the recursive Bayes non-linear filter would track and resolve the state(s) of single or multiple targets, but that is currently computationally intractable. The Probability Hypothesis Density (PHD) makes the tracking problem computationally feasible by propagating only the first-order multi-target statistical moments by using a particle filter implementation for the PHD. The problem then becomes one of estimating the targets’ state based on the output of the PHD when using a particle filter implementation. 

This paper describes one heuristic method for obtaining a state estimator from the PHD. The approach used in this paper, based on the Expectation-Maximization (EM) algorithm, views the PHD distribution as a mixture distribution, and the particles as an i.i.d. sampling from the mixture distribution. Using this, a maximum likelihood estimator for the parameters of the distribution can be generated. The EM seems to work fairly well, particularly when targets are well spaced.
problem_statement: The problem is one of tracking and identifying a finite set of multiple targets by means of data collected from a set of multiple sensors. The exact number of targets is unknown and may change with time depending on the corresponding birth/death model.
date: 2003
date_type: published
pages: 19
citation:   Yewchuk, Kerianne and Ketelsen, Christian and Limon, Alfonso and Mileyko, Yuryi  (2003) Tracking and Identifying of Multiple Targets.  [Study Group Report]     
document_url: http://miis.maths.ox.ac.uk/miis/188/1/lockheed.pdf