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Numerical Approximations for the Gaussian Q-Function by Sums of Exponentials

Research output: Chapter in Book/Report/Conference proceedingConference contributionProfessional


Original languageEnglish
Title of host publicationProceedings of XXXV Finnish URSI Convention on Radio Science
Number of pages4
Publication statusPublished - 18 Oct 2019
Publication typeD3 Professional conference proceedings
EventFinnish URSI Convention on Radio Science -
Duration: 1 Jan 1900 → …


ConferenceFinnish URSI Convention on Radio Science
Period1/01/00 → …


The accurate prediction of wireless systems’ performance is a key factor in the timely adoption of new technologies and systems’ design. In many cases, when evaluating the performance measures of a communication system with additive white Gaussian noise, integrals involving the Gaussian Q-function appear and closed-form solutions cannot be expressed in terms of elementary functions. This has motivated researchers to propose approximations and bounds for the Gaussian Q-function to facilitate expression manipulations. This paper gives a brief overview about the existing approximations of the Q-function. In addition, it summarizes
and compares the different quadrature numerical integration techniques that can be applied in approximating the Gaussian Q-function in a tractable form as a weighted sum of exponentials.