摘要
通过引入目标存在状态变量,建立了结合目标检测与参数估计的统一系统模型。给出目标探测信息、检测信息和空间信息的严格定义,并证明探测信息是检测信息与已知目标存在状态的空间信息之和,从理论上解决了探测信息和检测信息的定量问题。推导出目标匹配和非匹配条件下检测信息的理论公式。提出了随机目标检测方法,并证明了目标检测定理。目标检测定理指出,检测信息是可达的,反之,任何检测器的经验检测信息不大于检测信息。本文提出的目标检测信息理论打破了纽曼⁃皮尔逊准则一统天下的局面,为目标检测的系统理论和设计方法开辟了新的方向。
A unified system model combining target detection and parameter estimation is established by introducing a target existence state variable.The strict definition of radar information,detection information and spatial information of target is given,and it is proved that the radar information is sum of the detection information and the spatial information of known of target states,which theoretically solves the quantitative problem of the detection information and detection information.We derive the theoretical formula of detection information under the condition of target matching and non-matching,propose a random target detection method,and prove the target detection theorem.The target detection theorem shows that the detection information is achievable,otherwise the empirical detection information of any detector is not greater than the detection information.The target detection information theory proposed in this paper breaks the dominance of the Neyman-Pearson criterion and opens up a new direction for the system theory and design method of target detection.
作者
徐大专
胡超
潘登
屠伟林
XU Dazhuan;HU Chao;PAN Deng;TU Weilin(College of Electronic and Information Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing,211106,China)
出处
《数据采集与处理》
CSCD
北大核心
2020年第5期791-806,共16页
Journal of Data Acquisition and Processing
基金
国家自然科学基金(61971217)资助项目。
关键词
目标检测
检测信息
纽曼⁃皮尔逊准则
抽样后验概率
目标检测定理
target detection
detection information
Neyman-Pearson criterion
sampling a posterior probability
target detection theorem
作者简介
徐大专(1963⁃),男,教授,博士生导师,研究方向:空间信息论、信息与编码理论、宽带无线通信,E⁃mail:xudazhuan@nuaa.edu.cn。;胡超(1995⁃),男,硕士研究生,研究方向:空间信息论,E⁃mail:huchao@nuaa.edu.cn。;潘登(1995⁃),男,硕士研究生,研究方向:空间信息论,E⁃mail:pandeng@nuaa.edu.cn。;屠伟林(1995⁃),男,硕士研究生,研究方向:空间信息论,E⁃mail:tuweilin@nuaa.edu.cn。
