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arXiv 0905.1305cs.ITmath.IT
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Gamma-Gamma变量和的分布及其在RF和光无线通信中的应用

On the Distribution of the Sum of Gamma-Gamma Variates and Applications in RF and Optical Wireless Communications

Nestor D. Chatzidiamantis, George K. Karagiannidis

摘要:

伽玛-伽玛(GG)分布最近引起了研究界的兴趣,由于它涉及到各种通信系统。在射频无线通信中,GG分布准确地描述了复合阴影/衰落信道和级联多径衰落信道中的功率统计特性,而在光无线通信中,GG分布描述了大气湍流引起的光信号辐照度的波动特性。虽然GG信道模型在单输入单输出(SISO)无线系统的分析中提供了分析上的易处理性,但是当研究多输入多输出(MIMO)系统时,困难出现,其中独立GG变量的和的分布是必需的。在本文中,我们提出了一个新的简单的封闭形式的独立的,但不一定是同分布的GG变量的和的分布近似。结果表明,GG和的概率密度函数(PDF)可以有效地近似由一个单一的GG分布的PDF,或由有限的加权和的PDF的GG分布。为了揭示所提出的近似的重要性,在复合衰落的存在下的RF无线系统的性能,以及大气湍流受损的MIMO OW系统,进行了研究。数值结果和仿真验证了该方法的准确性。

英文摘要:

The Gamma-Gamma (GG) distribution has recently attracted the interest within the research community due to its involvement in various communication systems. In the context of RF wireless communications, GG distribution accurately models the power statistics in composite shadowing/fading channels as well as in cascade multipath fading channels, while in optical wireless (OW) systems, it describes the fluctuations of the irradiance of optical signals distorted by atmospheric turbulence. Although GG channel model offers analytical tractability in the analysis of single input single output (SISO) wireless systems, difficulties arise when studying multiple input multiple output (MIMO) systems, where the distribution of the sum of independent GG variates is required. In this paper, we present a novel simple closed-form approximation for the distribution of the sum of independent, but not necessarily identically distributed GG variates. It is shown that the probability density function (PDF) of the GG sum can be efficiently approximated either by the PDF of a single GG distribution, or by a finite weighted sum of PDFs of GG distributions. To reveal the importance of the proposed approximation, the performance of RF wireless systems in the presence of composite fading, as well as MIMO OW systems impaired by atmospheric turbulence, are investigated. Numerical results and simulations illustrate the accuracy of the proposed approach.

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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