Application of Frechet and other random-set averaging techniques to fusion of information

I. R. Goodman

doi:10.1117/12.327138

17 July 1998 Application of Frechet and other random-set averaging techniques to fusion of information

I. R. Goodman

Proceedings Volume 3374, Signal Processing, Sensor Fusion, and Target Recognition VII; (1998) https://doi.org/10.1117/12.327138
Event: Aerospace/Defense Sensing and Controls, 1998, Orlando, FL, United States

Abstract

An obviously important aspect of target tracking, and more generally, data fusion, is the combination of those pieces of multi-source information deemed to belong together. Recently, it has been pointed out that a random set approach to target tracking and data fusion may be more appropriate rather than the standard point-vector estimate approach -- especially in the case of large inherent parameter errors. In addition, since many data fusion problems involve non-numerical linguistic descriptions, in the same spirit it is also desirable to be able to have a method which averages in some qualitative sense random sets which are non-numerically- valued, i.e., which take on propositions or events, such as 'the target appears in area A or C, given the weather conditions of yesterday and source 1' and 'the target appears in area A or B, given the weather conditions of today and source 2.' This leads to the fundamental problem of how best to define the expectation of a random set. To date, this open issue has only been considered for numerically-based random sets. This paper addresses this issue in part by proposing an approach which is actually algebraically-based, but also applicable to numerical-based random sets, and directly related to both the Frechet and the Aumann-Artstein-Vitale random set averaging procedures. The technique employs the concept of 'constant probability events,' which has also played a key role in the recent development of 'relational event algebra,' a new mathematical tool for representing various models in the form of various functions of probabilities.

Citation Download Citation

I. R. Goodman "Application of Frechet and other random-set averaging techniques to fusion of information", Proc. SPIE 3374, Signal Processing, Sensor Fusion, and Target Recognition VII, (17 July 1998); https://doi.org/10.1117/12.327138

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available