电子学报 ›› 2013, Vol. 41 ›› Issue (6): 1238-1241.DOI: 10.3969/j.issn.0372-2112.2013.06.031

• 科研通信 • 上一篇    下一篇

多通道复信号检测中的几种常用复统计分布

刘维建1,2, 谢文冲2, 王永良2   

  1. 1. 国防科学技术大学电子科学与工程学院, 湖南 长沙 410073;
    2. 空军预警学院, 湖北 武汉 430019
  • 收稿日期:2012-01-12 修回日期:2012-08-27 出版日期:2013-06-25
    • 作者简介:
    • 刘维建 男,1982年12月出生于山东省莱芜市.现为国防科技大学信号与信息处理专业博士研究生.主要研究方向:空时自适应检测、阵列信号处理. E-mail:liuvjian@163.com
    • 基金资助:
    • 国家杰出青年科学基金 (No.60925005); 国家青年科学基金 (No.61102169)

Some Complex Statistical Distributions in Multichannel Complex-Valued Signal Detection Theory

LIU Wei-jian1,2, XIE Wen-chong2, WANG Yong-liang2   

  1. 1. College of Electronic Science and Engineering, NUDT, Changsha, Hu'nan 410073, China;
    2. Key Lab, Air Force Early Warning Academy, Wuhan, Hubei 430019, China
  • Received:2012-01-12 Revised:2012-08-27 Online:2013-06-25 Published:2013-06-25
    • Supported by:
    • National Natural Science Foundation of China for Distinguished Young Schoolars (No.60925005); Youth Fund of National Natural Science Foundation of China (No.61102169)

摘要: 复随机变量的概率密度函数(PDF)及其积累分布函数(CDF)是复值信号检测中计算虚警概率(PFA)和检测概率(PD)的基础.本文分析了复统计分布与实统计分布之间的关系,推导了复F分布和复贝塔分布(中心或者非中心)的PDF和CDF,推导了中心复t分布的PDF,并且给出了部分应用实例.

关键词: 复随机变量, 积累分布函数, 复值信号检测, 概率密度函数, 自适应检测

Abstract: The probability density functions(PDF's)and cumulative distribution functions(CDF's)of complex random variables RVA's)are basis for calculating the probabilities of false alarm(PFA's)and probabilities of detection(PD's)in complex-valued signal detection theory.In this paper,some relationship between the complex statistical distributions and the real ones is investigated.The PDF's and CDF's of the complex F and complex Beta distributions,both central and noncentral,and the PDF of the central complex t distribution are derived.

Key words: complex random variables, cumulative distribution function, complex-valued signal detection, probability density function, multichannel detection

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