Search for tractable Bayesian multitarget filters

Ronald P. S. Mahler

doi:10.1117/12.391988

13 July 2000 Search for tractable Bayesian multitarget filters

Ronald P. S. Mahler

Proceedings Volume 4048, Signal and Data Processing of Small Targets 2000; (2000) https://doi.org/10.1117/12.391988
Event: AeroSense 2000, 2000, Orlando, FL, United States

Abstract

In the book Mathematics of Data Fusion as well as in earlier papers and the recent monograph An Introduction to Multisource-Multitarget Statistics and Its Applications, I have proposed a unified Bayesian approach to multisource-multitarget fusion, detection, tracking, and identification based on a multitarget generalization of the Bayesian recursive nonlinear filtering equations. The foundation for this approach is finite-set statistics, a systematic generalization of standard engineer's statistical calculus to the multisensor-multitarget realm. I showed, in particular, how true multitarget likelihood functions can be constructed using this calculus. In this paper I show that true multitarget Markov motion models can be constructed in much the same manner. If such an approach is to ever become practical, however, computationally tractable approximate filters will have to be devised. This paper elaborates an approach suggested in Mathematics of Data Fusion: para-Gaussian densities-i.e., multitarget analogs of Gaussian distributions that result in closed-form integrations when inserted into the multitarget Bayesian recursive nonlinear equations. I propose an approximate multitarget filter based on the para-Gaussian concept that shows some promise of leading to computational tractibility.

Citation Download Citation

Ronald P. S. Mahler "Search for tractable Bayesian multitarget filters", Proc. SPIE 4048, Signal and Data Processing of Small Targets 2000, (13 July 2000); https://doi.org/10.1117/12.391988

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