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- W1482285071 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 C b 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 erfcbounds are easily obtained by using simple geometrical shapes that tightly enclose, or are tightly enclosed by the circle C b . 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." @default.
- W1482285071 created "2016-06-24" @default.
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- W1482285071 date "2006-09-08" @default.
- W1482285071 modified "2023-09-26" @default.
- W1482285071 title "A New Geometric View of the First-Order Marcum Q-Function and Some Simple Tight Erfc-Bounds" @default.
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- W1482285071 doi "https://doi.org/10.1109/vetecs.2006.1683318" @default.
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