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.%Information Geometry, a new subject originated from differential geometry, studies the statistice problem in manifold and metric space, and serves as a new solution method for the problem involvedin radar signal processing and data processing. In the cunrent study , radar echoes were modeled as the complex multivariate Gaussian distribution, and a kind of CFAR detector was proposed treed on the Riemannian geometric structure of the manifold, and the false alarm probability and detection probability was analyzed.Simulation show that the detection performance of the information geometry method was better than the coberent accumulation method for the small pulse number case. The findings of the research will be helpful to improve the detecto performance of mechanical scan radar system at low PRF work mode.
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