Kernel Density Estimation on the Siegel Space with an Application to Radar Processing†
AbstractThis paper studies probability density estimation on the Siegel space. The Siegel space is a generalization of the hyperbolic space. Its Riemannian metric provides an interesting structure to the Toeplitz block Toeplitz matrices that appear in the covariance estimation of radar signals. The main techniques of probability density estimation on Riemannian manifolds are reviewed. For computational reasons, we chose to focus on the kernel density estimation. The main result of the paper is the expression of Pelletier’s kernel density estimator. The computation of the kernels is made possible by the symmetric structure of the Siegel space. The method is applied to density estimation of reflection coefficients from radar observations. View Full-Text
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Chevallier, E.; Forget, T.; Barbaresco, F.; Angulo, J. Kernel Density Estimation on the Siegel Space with an Application to Radar Processing. Entropy 2016, 18, 396.
Chevallier E, Forget T, Barbaresco F, Angulo J. Kernel Density Estimation on the Siegel Space with an Application to Radar Processing. Entropy. 2016; 18(11):396.Chicago/Turabian Style
Chevallier, Emmanuel; Forget, Thibault; Barbaresco, Frédéric; Angulo, Jesus. 2016. "Kernel Density Estimation on the Siegel Space with an Application to Radar Processing." Entropy 18, no. 11: 396.
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