Open AccessNovel Composite Approximation for the Gaussian Q-Function
Author(s) -
Zoran Perić,
Aleksandar Marković,
Nataša Kontrec,
Stefan Panic,
Petar Spalević
Publication year - 2020
Publication title -
elektronika ir elektrotechnika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.224
H-Index - 26
eISSN - 2029-5731
pISSN - 1392-1215
DOI - 10.5755/j01.eie.26.5.26012
Subject(s) - function approximation , function (biology) , nakagami distribution , approximation error , computer science , gaussian , fading , approximation theory , algorithm , mathematics , simplicity , transfer function , approximation algorithm , conjunction (astronomy) , channel (broadcasting) , mathematical optimization , artificial intelligence , telecommunications , artificial neural network , mathematical analysis , physics , engineering , quantum mechanics , astronomy , evolutionary biology , biology , electrical engineering
This paper, by using Borjesson’s and Benitez’s approximation of Q-function, presents a novel and improved composite approximation of Q-function with wide applicability. The presented approach is very general and can be implemented on any observed interval. Based on the proposed approximation of Q-function, the average bit error rate is assessed by observing the transfer over Nakagami-m fading channel. The simplicity of the proposed approximation form in conjunction with yet another feature - utmost accurateness - appeared to be a better choice than the suggested approximations of similar complexity in terms of analyticity. The paper emphasizes the wide implementation possibilities in numerous tasks of communication theory and functional analysis that include Q-function.