Solutions to integrals involving the marcum Q-function and applications

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

doi:10.1109/LSP.2015.2432064

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 journal › Article › Scientific › peer-review

22 Citations (Scopus)

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 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 language	English
Pages (from-to)	1752-1756
Number of pages	5
Journal	IEEE Signal Processing Letters
Volume	22
Issue number	10
DOIs	https://doi.org/10.1109/LSP.2015.2432064
Publication status	Published - 1 Oct 2015
Publication type	A1 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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10.1109/LSP.2015.2432064

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AU - Sofotasios, Paschalis C.

AU - Muhaidat, Sami

AU - Karagiannidis, George K.

AU - Sharif, Bayan S.

PY - 2015/10/1

Y1 - 2015/10/1

N2 - 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.

AB - 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.

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Solutions to integrals involving the marcum Q-function and applications

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