A Consistent Track-to-Track Fusion Method Based on Copula Theory

A Consistent Track-to-Track Fusion Method Based on Copula Theory

This paper addresses the problem of distributed fusion when the conditional independence assumptions on sensor measurements or local estimates are not met. A new data fusion algorithm called Copula fusion is presented. The proposed method is grounded on Copula statistical modeling and Bayesian analy...

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Main Authors: Kelin Lu, K. C. Chang, Rui Zhou
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2016/3751959
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spelling doaj-cc97caae1a5344a5b7bd28fa55d0d5e12020-11-24T22:23:53ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472016-01-01201610.1155/2016/37519593751959A Consistent Track-to-Track Fusion Method Based on Copula TheoryKelin Lu0K. C. Chang1Rui Zhou2School of Automation Science and Electrical Engineering, Beihang University, Beijing, ChinaDepartment of Systems Engineering and Operations Research, George Mason University, Fairfax, VA, USASchool of Automation Science and Electrical Engineering, Beihang University, Beijing, ChinaThis paper addresses the problem of distributed fusion when the conditional independence assumptions on sensor measurements or local estimates are not met. A new data fusion algorithm called Copula fusion is presented. The proposed method is grounded on Copula statistical modeling and Bayesian analysis. The primary advantage of the Copula-based methodology is that it could reveal the unknown correlation that allows one to build joint probability distributions with potentially arbitrary underlying marginals and a desired intermodal dependence. The proposed fusion algorithm requires no a priori knowledge of communications patterns or network connectivity. The simulation results show that the Copula fusion brings a consistent estimate for a wide range of process noises.http://dx.doi.org/10.1155/2016/3751959
collection DOAJ
language English
format Article
sources DOAJ
author Kelin Lu
K. C. Chang
Rui Zhou
spellingShingle Kelin Lu
K. C. Chang
Rui Zhou
A Consistent Track-to-Track Fusion Method Based on Copula Theory
Mathematical Problems in Engineering
author_facet Kelin Lu
K. C. Chang
Rui Zhou
author_sort Kelin Lu
title A Consistent Track-to-Track Fusion Method Based on Copula Theory
title_short A Consistent Track-to-Track Fusion Method Based on Copula Theory
title_full A Consistent Track-to-Track Fusion Method Based on Copula Theory
title_fullStr A Consistent Track-to-Track Fusion Method Based on Copula Theory
title_full_unstemmed A Consistent Track-to-Track Fusion Method Based on Copula Theory
title_sort consistent track-to-track fusion method based on copula theory
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2016-01-01
description This paper addresses the problem of distributed fusion when the conditional independence assumptions on sensor measurements or local estimates are not met. A new data fusion algorithm called Copula fusion is presented. The proposed method is grounded on Copula statistical modeling and Bayesian analysis. The primary advantage of the Copula-based methodology is that it could reveal the unknown correlation that allows one to build joint probability distributions with potentially arbitrary underlying marginals and a desired intermodal dependence. The proposed fusion algorithm requires no a priori knowledge of communications patterns or network connectivity. The simulation results show that the Copula fusion brings a consistent estimate for a wide range of process noises.
url http://dx.doi.org/10.1155/2016/3751959
work_keys_str_mv AT kelinlu aconsistenttracktotrackfusionmethodbasedoncopulatheory
AT kcchang aconsistenttracktotrackfusionmethodbasedoncopulatheory
AT ruizhou aconsistenttracktotrackfusionmethodbasedoncopulatheory
AT kelinlu consistenttracktotrackfusionmethodbasedoncopulatheory
AT kcchang consistenttracktotrackfusionmethodbasedoncopulatheory
AT ruizhou consistenttracktotrackfusionmethodbasedoncopulatheory
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