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PDF of the Maximum of Two Correlated Random Variables with Applications to Fading Channels

机译:最多两个相关随机变量的PDF及其在衰落信道中的应用

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Probability density function (PDF) of multiple random variables can be employed to analyze many parameters of multiple antenna wireless communication systems, such as bit error rate (BER), ergodic and secrecy capacity, selection combining (SC) scheme and higher-order statistics to compute average fade duration (AFD) and level crossing rate (LCR) of a faded signal envelope. In this paper, a new method to represent PDF of the maximum of two correlated Rayleigh, Weibull, Nakagami-m and α - μ variates is analyzed and closed form expressions are extracted. The derived PDFs are expressed in terms of conditional probability and there is no need to compute infinite series summations or hypergeometric functions presented in the literature. Then, the BER performance of binary phase shift keying (BPSK) modulation and secrecy capacity performance in a 2 × 1 transmit antenna selection with maximal ratio combining (TAS/MRC) system over correlated Rayleigh, Weibull, Nakagami-m and α - μ fading channels are analyzed. Theoretical results are verified by simulation.
机译:可以使用多个随机变量的概率密度函数(PDF)来分析多天线无线通信系统的许多参数,例如误码率(BER),遍历和保密能力,选择组合(SC)方案以及高阶统计计算衰落信号包络的平均衰落持续时间(AFD)和电平交叉速率(LCR)。本文分析了一种新的表示两个相关瑞利,Weibull,Nakagami-m和α-μ变量的最大值的PDF的方法,并提取了封闭形式的表达式。导出的PDF用条件概率表示,不需要计算文献中提出的无穷级数求和或超几何函数。然后,在相关瑞利,威布尔,中加米和α-μ衰落下,采用最大比合并(TAS / MRC)系统的2×1发送天线选择中的二进制相移键控(BPSK)调制的BER性能和保密容量性能渠道进行了分析。理论结果通过仿真验证。

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