DocumentCode
847683
Title
New bounds for the Marcum Q-function
Author
Corazza, Giovanni E. ; Ferrari, Gianluigi
Author_Institution
Dept. of Electron., Comput. Sci. & Syst., Bologna Univ., Italy
Volume
48
Issue
11
fYear
2002
fDate
11/1/2002 12:00:00 AM
Firstpage
3003
Lastpage
3008
Abstract
New bounds are proposed for the Marcum Q-function, which is defined by an integral expression where the 0th-order modified Bessel function appears. The proposed bounds are derived by suitable approximations of the 0th-order modified Bessel function in the integration region of the Marcum Q-function. They prove to be very tight and outperform bounds previously proposed in the literature. In particular, the proposed bounds are noticeably good for large values of the parameters of the Marcum Q-function, where previously introduced bounds fail and where exact computation of the function becomes critical due to numerical problems
Keywords
Bessel functions; integral equations; integration; signal detection; 0th-order modified Bessel function; Marcum Q-function; approximations; integral expression; integration region; new bounds; Convergence; Data compression; IEEE Computer Society Press; Minimax techniques; Notice of Violation; Probability distribution; Quantization; Source coding; Speech processing; Upper bound;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2002.804113
Filename
1042356
Link To Document