Solutions to Integrals Involving the Marcum Q-Function and Applications

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...

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Bibliographic Details
Published in:IEEE signal processing letters 2015-10, Vol.22 (10), p.1752-1756
Main Authors: Sofotasios, Paschalis C., Muhaidat, Sami, Karagiannidis, George K., Sharif, Bayan S.
Format: Article
Language:English
Subjects:
Capacity
Closed-form solutions
Computers
correlation
Electronic mail
energy detection
Fading
marcum - Q function
special functions
switch-and-stay combining
Switches
Wireless communication
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Summary: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.
ISSN:1070-9908
1558-2361
DOI:10.1109/LSP.2015.2432064