DocumentCode :
60739
Title :
Solutions to Integrals Involving the Marcum 
-Function and Applications
Author :
Sofotasios, Paschalis C. ; Muhaidat, Sami ; Karagiannidis, George K. ; Sharif, Bayan S.
Author_Institution :
Dept. of Electron. & CommunicationsEngineering, Tampere Univ. of Technol., Tampere, Finland
Volume :
22
Issue :
10
fYear :
2015
fDate :
Oct. 2015
Firstpage :
1752
Lastpage :
1756
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.
Keywords :
channel capacity; correlation methods; fading channels; integral equations; multipath channels; probability; signal detection; average probability; channel capacity; channel inversion; closed-form expression; correlated multipath fading channel; energy detection; exponential function; generalized Marcum Q-function; natural science; signal processing; switched diversity; unknown signal detection; wireless communication; Closed-form solutions; Computers; Electronic mail; Fading; Switches; Wireless communication; Capacity; correlation; energy detection; marcum $ - Q$
fLanguage :
English
Journal_Title :
Signal Processing Letters, IEEE
Publisher :
ieee
ISSN :
1070-9908
Type :
jour
DOI :
10.1109/LSP.2015.2432064
Filename :
7105844
Link To Document :
