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Proceedings Paper

Second-generation PHD/CPHD filters and multitarget calculus
Author(s): Ronald Mahler
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Paper Abstract

The "classical" PHD and CPHD filters presume the standard "small-target" detection model. This year, in a series of theoretical studies, I have derived new "second-generation" CPHD/PHD filters for various sensing conditions that cannot be described by the standard model. These are: (a) multisensor, (b) clutter estimation, (c) tracking in unknown clutter, (d) extended targets, (e) unresolved targets, and (f) superpositional sensors. A common factor underlies all of these derivations: the FISST multitarget calculus. It is possible, given that one already knows the correct "answer," to reverse engineer the classical PHD/CPHD filters and to extemporize some "elementary" means of deriving them. But only the multitarget calculus is guaranteed to result in theoretically rigorous formulas for new problems-i.e., those for which the answer is not known beforehand. I also announce an important new result: the multitarget state estimators used with the CPHD/PHD filters are Bayes-optimal.

Paper Details

Date Published: 3 September 2009
PDF: 12 pages
Proc. SPIE 7445, Signal and Data Processing of Small Targets 2009, 74450I (3 September 2009); doi: 10.1117/12.826960
Show Author Affiliations
Ronald Mahler, Lockheed Martin MS2 Tactical Systems (United States)

Published in SPIE Proceedings Vol. 7445:
Signal and Data Processing of Small Targets 2009
Oliver E. Drummond; Richard D. Teichgraeber, Editor(s)

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