CAJ | 학술논문

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。
복수궤변량적개솔밀도함수（PDF ）급기적루분포함수（CDF ）시복치신호검측중계산허경개솔（PFA ）화검측개솔（PD ）적기출。본문분석료복통계분포여실통계분포지간적관계，추도료복 F분포화복패탑분포（중심혹자비중심）적PDF화CDF ，추도료중심복 t분포적PDF ，병차급출료부분응용실례。
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 .