Solutions to Integrals Involving the Marcum Q-Function and Applications

Abstract

Novel analytic solutions are derived for integrals that involve the generalized Marcum Q-function, exponential functions and arbitrary powers. Simple closed-form expressions are also derived for the specific cases of the generic integrals. The offered expressions are both convenient and versatile, which is particularly useful in applications relating to natural sciences and engineering, including wireless cpmmunications and signal processing. To this end, they are employed in the derivation of the channel capacity for fixed rate and channel inversion in the case of correlated multipath fading and switched diversity.

15 Pages, 2 Figures

References in corpus (2)

• The Effects of Limited Channel Knowledge on Cognitive Radio System Capacity
• Novel Expressions for the Rice $Ie-$Function and the Incomplete Lipschitz-Hankel Integrals

Cited by in corpus (6)

• Optimum Low-Complexity Decoder for Spatial Modulation
• Information Rates for Channels with Fading, Side Information and Adaptive Codewords
• A Semi-Linear Approximation of the First-Order Marcum $Q$-function with Application to Predictor Antenna Systems
• Zero Forcing Detection For Short Packet Transmission Under Channel Estimation Errors
• Predictor Antenna Systems: Exploiting Channel State Information for Vehicle Communications
• Semi-Blind Multiuser Detection Under the Presence of Reconfigurable Intelligent Surfaces