17 May 2012 Friendly rebuttal to Chen and Mehra: incompressible particle flow for nonlinear filters
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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.
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Fred Daum, Fred Daum, Jim Huang, Jim Huang, } "Friendly rebuttal to Chen and Mehra: incompressible particle flow for nonlinear filters", Proc. SPIE 8392, Signal Processing, Sensor Fusion, and Target Recognition XXI, 839210 (17 May 2012); doi: 10.1117/12.915510; https://doi.org/10.1117/12.915510
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