Solutions to integrals involving the marcum Q-function and applications

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

    Research output: Contribution to journalArticleScientificpeer-review

    22 Citations (Scopus)


    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 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 communications and signal processing. To this end, they are employed in the derivation of the average probability of detection in energy detection of unknown signals over multipath fading channels as well as of the channel capacity with fixed rate and channel inversion in the case of correlated multipath fading and switched diversity.

    Original languageEnglish
    Pages (from-to)1752-1756
    Number of pages5
    JournalIEEE Signal Processing Letters
    Issue number10
    Publication statusPublished - 1 Oct 2015
    Publication typeA1 Journal article-refereed

    Publication forum classification

    • Publication forum level 2

    ASJC Scopus subject areas

    • Electrical and Electronic Engineering
    • Signal Processing
    • Applied Mathematics


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