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arXiv 1604.06993cs.ITmath.IT
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广义无线衰落信道的矩母函数及其在无线通信理论中的应用

Moment Generating Functions of Generalized Wireless Fading Channels and Applications in Wireless Communication Theory

Ehab Salahat, Ali Hakam, Nazar Ali, Ahmed Kulaib

摘要:

本文推导了广义衰落模型的矩母函数(MGF)的精确和近似表达式。具体来说,我们考虑$η-λ-μ$,$α-μ$,$α-η-μ$,$α-λ-μ$,$α-κ-μ$,和$α-λ-η-μ$广义衰落分布,推导出近似的MGF表达式。新的表达式是非常准确的,在文献中的早期结果相比,避免了任何复杂的特殊功能,例如Meijer- $G$和福克斯$H$ -功能。因此,新的MGF表达式允许更容易和更有效的分析操作,这也适用于他们的特殊情况下,如瑞利,赖斯和Nakagami-m衰落。作为说明性应用,使用新导出的MGF表达式来评估每个衰落模型的平均比特出错率。通过使用数值计算结果作为比较的基础,以及从文献中公布的结果的分析结果的准确性。

英文摘要:

In this paper, new exact and approximate moment generating functions (MGF) expression for generalized fading models are derived. Specifically, we consider the $η-λ-μ$, $α-μ$, $α-η-μ$, $α-λ-μ$, $α-κ-μ$, and $α-λ-η-μ$ generalized fading distributions to derive approximate MGF expressions. The new expressions are very accurate and, in contrast to earlier results in the literature, avoid any complicated special functions, e.g. the Meijer-$G$ and Fox $H$-functions. As such, the new MGF expressions allow easier and more efficient analytical manipulations, which also apply for their special cases such as the Rayleigh, Rice, and Nakagami-m fading. As an illustrative application, the average bit error rates for each of the fading models are evaluated using the new derived MGF expressions. The accuracy of the analytical results by using the numerically computed results as a basis of comparison as well as published results from the literature.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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