基于信息几何理论的信号检测方法

发布时间：2018-03-15 05:34

  本文选题：信息几何　切入点：测地线　出处：《雷达科学与技术》2017年02期 　论文类型：期刊论文

【摘要】：信息几何理论将统计推断问题转换为几何问题进行处理,从而能够从几何的角度分析进行统计推断。以高斯噪声下的信号检测为研究对象,给出了基于信息几何理论的信号检测所需的理论基础,分析了测地线距离与检测器性能之间的关系。分别以简单假设和复合假设两种情况,分析了两种距离检测器的性能,并与Neyman-Pearson检测器和广义似然比检测器进行了对比。计算机分析结果表明,测地线长度和方向共同决定了检测性能,且距离检测器性能与似然比检测器性能相当。
[Abstract]:The theory of information geometry transforms the statistical inference problem into a geometric problem, so that it can be analyzed and inferred from the geometric point of view. The signal detection under Gao Si noise is taken as the research object. The theoretical basis of signal detection based on information geometry theory is given, and the relationship between geodesic distance and detector performance is analyzed. Compared with the Neyman-Pearson detector and the generalized likelihood ratio detector, the computer analysis results show that the geodesic length and direction jointly determine the detection performance, and the performance of the distance detector is similar to that of the likelihood ratio detector.
【作者单位】： 空军工程大学信息与导航学院;
【基金】：国家自然科学基金(No.61571456) 陕西省自然科学基金(No.2016JM0644)
【分类号】：TN911.23
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本文编号：1614667