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

LIU Wei-jian; XIE Wen-chong; WANG Yong-liang

doi:10.3969/j.issn.0372-2112.2013.06.031

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

更新时间：2025-07-16

- Some Complex Statistical Distributions in Multichannel Complex-Valued Signal Detection Theory
- Acta Electronica Sinica Vol. 41, Issue 6, Pages: 1238-1241(2013)
- 作者机构：
  
  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
  3. 国防科学技术大学电子科学与工程学院,湖南,长沙,410073
  4. 空军预警学院,湖北,武汉,430019
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China for Distinguished Young Schoolars (No.60925005);Youth Fund of National Natural Science Foundation of China (No.61102169)
- DOI：10.3969/j.issn.0372-2112.2013.06.031
  CLC： TN957
- Published：2013
- 稿件说明：
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LIU Wei-jian, XIE Wen-chong, WANG Yong-liang. Some Complex Statistical Distributions in Multichannel Complex-Valued Signal Detection Theory[J]. Acta Electronica Sinica, 2013, 41(6): 1238-1241.
DOI：

LIU Wei-jian, XIE Wen-chong, WANG Yong-liang. Some Complex Statistical Distributions in Multichannel Complex-Valued Signal Detection Theory[J]. Acta Electronica Sinica, 2013, 41(6): 1238-1241. DOI： 10.3969/j.issn.0372-2112.2013.06.031.

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

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

分布的PDF

并且给出了部分应用实例.

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.

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