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, cilt.159, ss.183-191, 2013 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 159 Konu: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s10957-012-0217-0
  • Dergi Adı: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • Sayfa Sayıları: ss.183-191

Özet

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.