Laplace Transform of Product of Generalized Marcum Q, Bessel I, and Power Functions with Applications

2014/02/05 by Natalia Y. Ermolova, Ermolova, Natalia Y., Olav Tirkkonen +1 · 1 citation
Computer Science · Engineering · #33C90 #Advanced Wireless Communication Techniques #Cognitive Radio Networks and Spectrum Sensing #FOS: Mathematics #J.2 #Statistics Theory (math.ST) #Wireless Communication Networks Research

paper · pdf · doi:10.48550/arxiv.1402.1004

openalex publication_date 2014/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The evaluation of integral transforms of special functions is required in different research and practical areas. Analyzing the κ-μ fading distribution also khown as the generalized Rician distribution, we find out that the assessment of a few different performance metrics, such as the probability of energy detection of unknown signals and outage probability under co-channel interference, involves the evaluation of an infinite-range integral, which has the form of Laplace transform of product of Marcum Q, Bessel I, and power functions. We evaluate this integral in a closed-form and present numerical estimates.

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