Improved Coefficients for the Karagiannidis-Lioumpas Approximations and Bounds to the Gaussian Q-Function

no code implementations • 19 Jan 2021 • Islam M. Tanash, Taneli Riihonen

We revisit the Karagiannidis-Lioumpas (KL) approximation of the Q-function by optimizing its coefficients in terms of absolute error, relative error and total error.

Global Minimax Approximations and Bounds for the Gaussian Q-Function by Sums of Exponentials

no code implementations • 14 Jul 2020 • Islam M. Tanash, Taneli Riihonen

This paper presents a novel systematic methodology to obtain new simple and tight approximations, lower bounds, and upper bounds for the Gaussian Q-function, and functions thereof, in the form of a weighted sum of exponential functions.