Laplace Transform of Product of Generalized Marcum Q, Bessel I, and Power Functions With Applications
Laplace Transform of Product of Generalized Marcum Q, Bessel I, and Power Functions With Applications
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DOI：
10.1109/tsp.2014.2319772
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发表时间：
2014-06-01
影响因子：
5.4
通讯作者：
Tirkkonen, Olav
中科院分区：
文献类型：
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作者：
Ermolova, Natalia Y.;Tirkkonen, Olav
特殊函数的积分变换经常出现在不同的研究和实际领域中。分析kappa-mu衰落分布，也被称为广义Rician分布，我们发现，一些不同的performancemetrics的评估涉及到一个不适当的积分表示为Marcum Q，Bessel I，和功率函数的乘积的拉普拉斯变换的评价。我们评估这个积分在一个封闭的形式，并应用所得出的结果来评估的概率检测未知信号的kappa-mu衰落信道，以及评估中断概率下的干扰限制kappa-mu衰落的情况下，kappa-mu衰落的同信道干扰。
Integral transforms of special functions often occur in different research and practical areas. Analyzing the kappa-mu fading distribution, also known as the generalized Rician distribution, we find out that the assessment of a few different performancemetrics involves the evaluation of an improper integral expressed as the Laplace transform of product of Marcum Q, Bessel I, and power functions. We evaluate this integral in a closed form and apply the derived results to assess the probability of detection of unknown signals over kappa-mu fading channels as well as to evaluate the outage probability under interference-limited kappa-mu fading scenarios with kappa-mu-faded co-channel interference.