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

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 extens...

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Bibliographic Details
Published inJournal of optimization theory and applications Vol. 159; no. 1; pp. 183 - 191
Main Authors Develi, I., Basturk, A.
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.10.2013
Springer Nature B.V
Subjects
Accuracy
Algorithms
Applications of Mathematics
Approximation
Calculus of Variations and Optimal Control; Optimization
Communication channels
Digital transmission
Engineering
Gaussian
Least squares method
Literature reviews
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinearity
Normal distribution
Operations Research/Decision Theory
Optimization
Optimization algorithms
Studies
Theory of Computation
Turkey
Digital communications
Gaussian
Absolute relative error
function
Nonlinear least squares optimization
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-012-0217-0