Houssineau, Jeremie and Clark, Daniel E. (2014) Bayesian estimation of multi-object systems with independently identically distributed correlations. In: 2014 IEEE Workshop on Statistical Signal Processing (SSP), Gold Coast, VIC, Australia, 29 Jun - 2 Jul 2014 pp. 228-231. ISBN 9781479949755. ISSN 2373-0803. doi:10.1109/SSP.2014.6884617

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Abstract

Recent generalisations of stochastic filtering methods to multi-object systems have become very popular for solving multi-target tracking problems over the last decade. However, there was previously no general means of introducing correlations between objects. In this article, we investigate generalisations of such multi-object filters for systems where there may be dependencies between objects. Determining probability and factorial moment densities is facilitated by the use of a recent result in variational calculus, a general form of Faà di Bruno's formula. The result is illustrated through the Probability Hypothesis Density (PHD) filter, as a first-order moment example of the general form.

Item Type:	Conference Item (Paper)
Divisions:	Faculty of Science > Statistics
Publisher:	IEEE
ISBN:	9781479949755
ISSN:	2373-0803
Book Title:	2014 IEEE Workshop on Statistical Signal Processing (SSP)
Official Date:	2014
Dates:	Date Event 2014 Published
Page Range:	pp. 228-231
DOI:	10.1109/SSP.2014.6884617
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Conference Paper Type:	Paper
Title of Event:	2014 IEEE Workshop on Statistical Signal Processing (SSP)
Type of Event:	Workshop
Location of Event:	Gold Coast, VIC, Australia
Date(s) of Event:	29 Jun - 2 Jul 2014

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