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On the Linear Combination of Gamma Conditionally Gaussian Distributions with Application to Decode and Forward Cooperation

机译:Gamma条件高斯分布的线性组合及其在解码和前向协作中的应用

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In this paper, exact statistics for the linear combination of gamma conditionally Gaussian random variables (CGRVs) are obtained. In particular, the probability density function (PDF), the cumulative distribution function (CDF) and the moment generating function (MGF) are derived. Closed form expressions are obtained for both integer and noninteger parameters, using the Mellin-Barnes integral representation of the extended Fox-H function. The significance of these results is then explained by obtaining performance metrics for decode and forward (DF) cooperation in Nakagami-m fading.
机译:在本文中,获得了有条件的高斯随机变量(CGRV)线性组合的精确统计量。特别是,推导了概率密度函数(PDF),累积分布函数(CDF)和矩生成函数(MGF)。使用扩展的Fox-H函数的Mellin-Barnes积分表示形式,可以为整数和非整数参数获得闭合形式的表达式。然后,通过获得Nakagami-m衰落中的解码和前向(DF)合作的性能指标来解释这些结果的重要性。

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