Solutions to Integrals Involving the Marcum <formula formulatype="inline"><tex Notation="TeX">$Q$</tex></formula>-Function and Applications

Paschalis C. Sofotasios, Sami Muhaidat, George K. Karagiannidis, B.S. Sharif

Type: Article

Publication Date: 2015-05-12

Citations: 42

DOI: https://doi.org/10.1109/lsp.2015.2432064

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.

Locations

IEEE Signal Processing Letters - View
arXiv (Cornell University) - View - PDF

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Solutions to Integrals Involving the Marcum &lt;formula formulatype="inline"&gt;&lt;tex Notation="TeX"&gt;$Q$&lt;/tex&gt;&lt;/formula&gt;-Function and Applications