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, sa.1, ss.183-191, 2013 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 159 Sayı: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s10957-012-0217-0
  • Dergi Adı: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.183-191
  • Anahtar Kelimeler: Digital communications, Gaussian Q-function, Nonlinear least squares optimization, Absolute relative error
  • Erciyes Üniversitesi Adresli: Evet

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.