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Applications of Information Geometry to Radar Signal Processing

Applications of Information Geometry to Radar Signal Processing

This video was recorded at Emerging Trends in Visual Computing. Main issue of High Resolution Doppler Imagery is related to robust statistical estimation of Toeplitz Hermitian positive definite covariance matrices of sensor data time series (e.g. in Doppler Echography, in Underwater acoustic, in Electromagnetic Radar, in Pulsed Lidar). We consider this problem jointly in the framework of Riemannian symmetric spaces and the framework of Information Geometry. Both approaches lead to the same metric, that has been initially considered in other mathematical domains (study of Bruhat-Tits complete metric Space & Upper-half Siegel Space in Symplectic Geometry). Based on Frechet-Karcher barycenter definition & geodesics in Bruhat-Tits space, we address problem of N Covariance matrices Mean... Show More
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