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

DEVELİ I., BAŞTÜRK A.

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, vol.159, no.1, pp.183-191, 2013 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 159 Issue: 1
  • Publication Date: 2013
  • Doi Number: 10.1007/s10957-012-0217-0
  • Journal Name: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.183-191
  • Keywords: Digital communications, Gaussian Q-function, Nonlinear least squares optimization, Absolute relative error
  • Erciyes University Affiliated: Yes

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.