论文标题
电磁数字信息的基本几何结构：雷达电磁波的空间多普勒和极化波动的数字测量的统计表征
The Basic Geometric Structures of Electromagnetic Digital Information: Statistical characterization of the digital measurement of spatio-Doppler and polarimetric fluctuations of the radar electromagnetic wave
论文作者
论文摘要
目的是使用Maurice fr {éfr{é} Chet，Jean-Louis Koszul和Jean-Marie Souriion of该数字测量的概念（尤其是一个数字''的概念，尤其是fre fre of fre of fr {ean cheet''以及从统计力学得出的模型来定义和计算熵的最大密度（Gaussian概念的扩展），以描述电磁波的波动。本文将通过雷达应用程序，以雷达为基础，该示例使用雷达在电磁数字信号的协方差矩阵上引入距离的雷达应用程序，时空和极化测量的雷达范围。
The aim is to describe new geometric approaches to define the statistics of spatio-temporal and polarimetric measurements of the states of an electromagnetic wave, using the works of Maurice Fr{é}chet, Jean-Louis Koszul and Jean-Marie Souriau, with in particular the notion of 'average' state of this digital measurement as a Fr{é}chet barycentre in a metric space and a model derived from statistical mechanics to define and calculate a maximum density of entropy (extension of the notion of Gaussian) to describe the fluctuations of the electromagnetic wave. The article will illustrate these new tools with examples of radar application for Doppler, spatio-temporal and polarimetric measurement of the electromagnetic wave by introducing a distance on the covariance matrices of the electromagnetic digital signal, based on Fisher's metric from Information Geometry.
