arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1505.03346cs.ITmath.IT
收藏

基于Marcum Q函数积分的解析解及其在多径衰落信道中未知信号能量检测中的应用

Analytic solutions to a Marcum Q-function-based integral and application in energy detection of unknown signals over multipath fading channels

Paschalis C. Sofotasios, Mikko Valkama, Theodoros A. Tsiftsis, Yury A. Brychkov, Steven Freear, George K. Karagiannidis

摘要:

这项工作提出了一个有用的积分在无线通信,其中涉及Marcum $Q{-}$功能结合指数函数和任意的权力条款的解析解。导出的表达式有一个相当简单的代数表示,使他们方便的分析和计算。此外,它们在无线通信中,特别是在认知无线电通信和雷达系统的背景下是有用的,其中经常遇到这种积分。为此,我们推导出新的表达式的检测概率在能量检测的频谱感知$η{-}μ$衰落信道。这些表达式给出了封闭的形式,并随后在分析认知无线电系统中的广义多径衰落条件的影响。正如预期的那样,它表明,检测器是高度依赖于衰落条件的严重程度,即使是轻微的变化的衰落参数影响相应的性能显着。

英文摘要:

This work presents analytic solutions for a useful integral in wireless communications, which involves the Marcum $Q{-}$function in combination with an exponential function and arbitrary power terms. The derived expressions have a rather simple algebraic representation which renders them convenient both analytically and computationally. Furthermore, they can be useful in wireless communications and particularly in the context of cognitive radio communications and radar systems, where this integral is often encountered. To this end, we derive novel expressions for the probability of detection in energy detection based spectrum sensing over $η{-}μ$ fading channels. These expressions are given in closed-form and are subsequently employed in analyzing the effects of generalised multipath fading conditions in cognitive radio systems. As expected, it is shown that the detector is highly dependent upon the severity of fading conditions as even slight variation of the fading parameters affect the corresponding performance significantly.

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。

↑