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Title: A new geometric view of the first-order marcum Q-function and some simple tight erfc-bounds
Authors: Kam, P.Y. 
Li, R. 
Issue Date: 2006
Citation: Kam, P.Y.,Li, R. (2006). A new geometric view of the first-order marcum Q-function and some simple tight erfc-bounds. IEEE Vehicular Technology Conference 5 : 2553-2557. ScholarBank@NUS Repository.
Abstract: A geometric interpretation of the first-order Marcum Q-function, Q(a,b), is introduced as the probability that a complex, Gaussian random variable with real, nonzero mean a, takes on values outside of a circular region Cb of radius b centered at the origin. This interpretation engenders a fruitful approach for deriving new representations and tight, upper/lower erfc-bounds on Q(a,b). The new representations involve finite-range integrals that facilitate analytical and numerical computations, and are simpler than similar ones in the literature. The new, simple erfc-bounds are easily obtained by using simple geometrical shapes that tightly enclose, or are tightly enclosed by the circle Cb. They involve only a few terms of erfc and exponential functions, and are close to, or even tighter than the existing bounds that involve the modified Bessel function. © 2006 IEEE.
Source Title: IEEE Vehicular Technology Conference
ISBN: 0780393929
ISSN: 15502252
Appears in Collections:Staff Publications

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