4.0 Article

Application of Gaussian Q-Function Approximations in Fluctuating Beckmann Fading Model

Journal

NATIONAL ACADEMY SCIENCE LETTERS-INDIA
Volume 44, Issue 2, Pages 125-131

Publisher

SPRINGER INDIA
DOI: 10.1007/s40009-020-00965-5

Keywords

AWGN; Symbol error probability; Digital modulation; Gaussian Q-function; Fading

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This letter discusses the application of various exponential-based approximations to Gaussian Q-function, used to derive a generalized closed-form solution for symbol error probability over Fluctuating Beckmann fading model. The derived expression covers important fading models like Gaussian, Rayleigh, Rician, Nakagami-m, g-l, j-l, shadowed Rician, and j-l distributions as special cases, with mathematically effortless computation requiring only elementary power function computations.
This letter is an application of various exponential-based approximations to Gaussian Q-function, which are used to derive a generalized closed-form solution for the symbol error probability (SEP) over recently introduced Fluctuating Beckmann fading model. This model covers all the other important fadings like Gaussian, Rayleigh, Rician, Nakagami-m, g-l, j-l, shadowed Rician and j-l distributions as special cases. The SEP expression is mathematically effortless and requires elementary power function computations only.

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