功率谱的信息几何

Information Geometry of Power Spectral

  • 摘要: 利用信息几何的方法,给出了功率谱的信息几何结构. 将要研究的功率谱的集合看成一个微分流形,定义了分数阶功率谱,引入黎曼度量和对偶联络,并获得了三个随机过程模型的几何度量.

     

    Abstract: The information geometric structure of power spectral is given based on information geometry theory. The set of power spectral is taken as a differential manifold. Moreover, a Riemannian metric is defined and the dual connections are introduced. Further, the geometric metrics of three stochastic process models are founded in this paper.

     

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