引用本文: | 刘俊凯,王雪松,王涛,等.信息几何在脉冲多普勒雷达目标检测中的应用[J].国防科技大学学报,2011,33(2):77-80.[点击复制] |
LIU Junkai,WANG Xuesong,WANG Tao,et al.Application of Information Geometry to Target Detection for Pulsed-doppler Radar[J].Journal of National University of Defense Technology,2011,33(2):77-80[点击复制] |
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信息几何在脉冲多普勒雷达目标检测中的应用 |
刘俊凯, 王雪松, 王涛, 屈龙海 |
(国防科技大学 电子科学与工程学院,湖南 长沙 410073)
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摘要: |
信息几何是以微分几何为基础发展起来的一个新兴学科方向,研究流形和度量空间上的统计问题,它提供了解决雷达信号处理和数据处理问题的一种新思路。雷达回波通常表示为复多元高斯分布,基于复多元高斯分布流形上的黎曼几何结构,提出了一种CFAR检测器结构,并分析了高斯杂波环境下的虚警概率和检测概率。仿真实验表明,在短脉冲序列条件下,信息几何方法的检测性能优于常规相参积累方法。研究成果有助于改善机械扫描雷达体制在低的脉冲重复频率工作模式时的检测 性能。 |
关键词: 信息几何 统计流形 复多元高斯分布 黎曼均值 黎曼距离 检测 |
DOI: |
投稿日期:2010-10-18 |
基金项目:国家部委基金资助项目 |
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Application of Information Geometry to Target Detection for Pulsed-doppler Radar |
LIU Junkai, WANG Xuesong, WANG Tao, QU Longhai |
(College of Electronic Science and Engineering, National Univ. of Defense Technology, Changsha 410073, China)
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Abstract: |
Information Geometry, a new subject originated from differential geometry, studies the statistics problem in manifold and metric space, and serves as a new solution method for the problem involved in radar signal processing and data processing. In the current study , radar echoes were modeled as the complex multivariate Gaussian distribution, and a kind of CFAR detector was proposed based on the Riemannian geometric structure of the manifold, and the false alarm probability and detection probability was analyzed. Simulations show that the detection performance of the information geometry method was better than the traditional coherent accumulation method for the small pulse number case. The findings of the research will be helpful to improve the detection performance of mechanical scan radar system at low PRF work mode. |
Keywords: information geometry statistical manifold complex multivariate gauss distribution riemannian mean riemannian distance detection |
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