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Proceedings Paper

Friendly rebuttal to Chen and Mehra: incompressible particle flow for nonlinear filters
Author(s): Fred Daum; Jim Huang
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Paper Abstract

We respond to the very thorough analysis of singularities in the incompressible flow for one dimensional nonlinear filters by Chen and Mehra. We emphasize that the singularities occur at a few points in d-dimensional state space, and thus the chance of hitting a singularity is very small for dimensions higher than one. Furthermore, in the unlikely event of hitting a singularity, there is ample room to flow around it in spaces of dimension higher than one. Moreover, the deep mathematical theory of incompressible particle flow that was developed recently by Shnirelman can be used to provide insight into why our particle flow algorithms work so well.

Paper Details

Date Published: 17 May 2012
PDF: 6 pages
Proc. SPIE 8392, Signal Processing, Sensor Fusion, and Target Recognition XXI, 839210 (17 May 2012); doi: 10.1117/12.915510
Show Author Affiliations
Fred Daum, Raytheon Co. (United States)
Jim Huang, Raytheon Co. (United States)


Published in SPIE Proceedings Vol. 8392:
Signal Processing, Sensor Fusion, and Target Recognition XXI
Ivan Kadar, Editor(s)

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