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

Integral transforms of special functions often occur in different research and practical areas. Analyzing the κ-μ fading distribution, also known as the generalized Rician distribution, we find out that the assessment of a few different performance metrics 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 κ-μ fading channels as well as to evaluate the outage probability under interference-limited κ-μ fading scenarios with κ-μ-faded co-channel interference.