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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. |
|Source:||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|
|Appears in Collections:||Staff Publications|
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