English

Solutions to Integrals Involving the Marcum Q-Function and Applications

Information Theory 2023-07-19 v1 math.IT

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.

Keywords

Cite

@article{arxiv.1505.02368,
  title  = {Solutions to Integrals Involving the Marcum Q-Function and Applications},
  author = {Paschalis C. Sofotasios and Sami Muhaidat and George K. Karagiannidis and Bayan S. Sharif},
  journal= {arXiv preprint arXiv:1505.02368},
  year   = {2023}
}

Comments

15 Pages, 2 Figures

R2 v1 2026-06-22T09:31:12.661Z