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New, Simple and Accurate Approximation for the Gaussian Q Function With Applications

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In this letter, we propose novel, accurate approximation for the Gaussian $Q$ function which is expressed as the sum of simple exponentials. To do so, we use the composite Gauss… Click to show full abstract

In this letter, we propose novel, accurate approximation for the Gaussian $Q$ function which is expressed as the sum of simple exponentials. To do so, we use the composite Gauss quadrature numerical integration method incorporating a special mid point rule. The nuances on the accuracy as well as an insight on the tractability of the proposed approximation is exhaustively presented in this letter. We show that this approximation facilitates the symbol error probability of square quadrature amplitude modulation technique over the versatile Fluctuating Beckmann fading model and the practical Fisher-Snedecor $\mathcal {F}$ distribution. Lastly, the analysis is justified with the help of Monte-Carlo simulations.

Keywords: accurate approximation; tex math; approximation gaussian; inline formula; approximation

Journal Title: IEEE Communications Letters
Year Published: 2022

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