多通道复信号检测中的几种常用复统计分布

摘要

The probability density functions(PDF′s)and cumulative distribution functions(CDF′s)of complex random vari-ables 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 .%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。