Highly Accurate Analytic Approximation to the Gaussian Q-function Based on the Use of Nonlinear Least Squares Optimization Algorithm

I. Develi () and A. Basturk ()
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I. Develi: Erciyes University
A. Basturk: Erciyes University

Journal of Optimization Theory and Applications, 2013, vol. 159, issue 1, No 10, 183-191

Abstract: Abstract In this paper, as an extension of a previous study, an improved approximation for the Gaussian Q-function is presented. The nonlinear least squares algorithm is employed to optimize the coefficients of the proposed approximation. The accuracy of the presented approximation is evaluated using extensive computer simulations. Results show that the proposed approximation has superior accuracy in high arguments’ region when compared to the performance of other approaches introduced in the literature.

Keywords: Digital communications; Gaussian Q-function; Nonlinear least squares optimization; Absolute relative error (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10957-012-0217-0

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