DocumentCode
1690886
Title
Geometric Radar Processing based on Fréchet distance: Information geometry versus Optimal Transport Theory
Author
Barbaresco, Frédéric
Author_Institution
Adv. Developments Dept., Thales Air Syst., Limours, France
fYear
2011
Firstpage
663
Lastpage
668
Abstract
In the framework of Optimal Transport Theory, Fréchet-Wasserstein distance could be used to define distance for signal radar measures modeled by multivariate Gaussian laws with positive curvature geometry. We compare this approach with Information geometry for Covariance Radar Matrices Processing, where Fisher metric and Siegel-Rao distance provides geometry of negative curvature.
Keywords
Gaussian processes; geometry; matrix algebra; radar signal processing; transport processes; Fisher metric distance; Frechet distance; Frechet-Wasserstein distance; Siegel-Rao distance; covariance radar matrices processing; geometric radar processing; information geometry; multivariate Gaussian laws; negative curvature; optimal transport theory; positive curvature geometry; signal radar measures; Covariance matrix; Information geometry; Level measurement; Manifolds; Radar; Symmetric matrices;
fLanguage
English
Publisher
ieee
Conference_Titel
Radar Symposium (IRS), 2011 Proceedings International
Conference_Location
Leipzig
Print_ISBN
978-1-4577-0138-2
Type
conf
Filename
6042179
Link To Document