Paper Info
Title
New bounds for the generalized Marcum Q-function
Abstract
In this paper, we study the generalized Marcum Q-function Qν(a,b) where a, ν 0 and b ≥ 0. Our aim is to extend the results of Corazza and Ferrari (IEEE Trans. Inf. Theory, vol. 48, pp. 3003-3008, 2002) to the generalized Marcum Q-function in order to deduce some new tight lower and upper bounds. The key tools in our proofs are some monotonicity properties of certain functions involving the modified Bessel function of the first kind and some classical inequalities, i.e., the Cauchy-Buniakowski-Schwarz and Chebyshev integral inequalities. These bounds are shown to be very tight for large b, i.e., the relative errors of our bounds converge to zero as b increases. Both theoretical analysis and numerical results are provided to show the tightness of our bounds.
Year
DOI
Venue
2009
10.1109/TIT.2009.2021370
IEEE Transactions on Information Theory
Keywords
DocType
Volume
generalized Marcum Q-function Q,b increase,Chebyshev integral inequality,classical inequality,key tool,new bound,certain function,IEEE Trans,modified Bessel function,generalized Marcum Q-function,large b
Journal
55
Issue
ISSN
Citations 
7
0018-9448
2
PageRank 
References 
Authors
0.37
10
2
Name
Order
Citations
PageRank
Árpád Baricz1416.08
Yin Sun2629.20