Simple and accurate approximations for the two dimensional Gaussian Q-function

Paschalis C. Sofotasios; Steven Freear

doi:10.1109/VETECS.2011.5956733

Simple and accurate approximations for the two dimensional Gaussian Q-function

Paschalis C. Sofotasios, Steven Freear

Electrical Engineering

University of Leeds

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

7 Scopus citations

Abstract

The aim of this work is the derivation of two approximated expressions for the two dimensional Gaussian Q-function, Q(x, y; ρ). These expressions are highly accurate and are expressed in closed-form. Furthermore, their algebraic representation is relatively simple and therefore, convenient to handle both analytically and numerically. This feature is particularly useful for two reasons: firstly because it renders the derived expressions useful mathematical tools that can be utilized in numerous analytic performance evaluation studies in digital communications under fading; secondly because the two dimensional Gaussian Q-function is neither tabulated nor a builtin function in popular mathematical software packages such as Maple, Mathematica and Matlab.

Original language	British English
Title of host publication	2011 IEEE 73rd Vehicular Technology Conference, VTC2011-Spring - Proceedings
DOIs	https://doi.org/10.1109/VETECS.2011.5956733
State	Published - 2011
Event	2011 IEEE 73rd Vehicular Technology Conference, VTC2011-Spring - Budapest, Hungary Duration: 15 May 2011 → 18 May 2011

Publication series

Name	IEEE Vehicular Technology Conference
ISSN (Print)	1550-2252

Conference

Conference	2011 IEEE 73rd Vehicular Technology Conference, VTC2011-Spring
Country/Territory	Hungary
City	Budapest
Period	15/05/11 → 18/05/11

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10.1109/VETECS.2011.5956733

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title = "Simple and accurate approximations for the two dimensional Gaussian Q-function",

abstract = "The aim of this work is the derivation of two approximated expressions for the two dimensional Gaussian Q-function, Q(x, y; ρ). These expressions are highly accurate and are expressed in closed-form. Furthermore, their algebraic representation is relatively simple and therefore, convenient to handle both analytically and numerically. This feature is particularly useful for two reasons: firstly because it renders the derived expressions useful mathematical tools that can be utilized in numerous analytic performance evaluation studies in digital communications under fading; secondly because the two dimensional Gaussian Q-function is neither tabulated nor a builtin function in popular mathematical software packages such as Maple, Mathematica and Matlab.",

author = "Sofotasios, {Paschalis C.} and Steven Freear",

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isbn = "9781424483310",

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Sofotasios, PC & Freear, S 2011, Simple and accurate approximations for the two dimensional Gaussian Q-function. in 2011 IEEE 73rd Vehicular Technology Conference, VTC2011-Spring - Proceedings., 5956733, IEEE Vehicular Technology Conference, 2011 IEEE 73rd Vehicular Technology Conference, VTC2011-Spring, Budapest, Hungary, 15/05/11. https://doi.org/10.1109/VETECS.2011.5956733

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AB - The aim of this work is the derivation of two approximated expressions for the two dimensional Gaussian Q-function, Q(x, y; ρ). These expressions are highly accurate and are expressed in closed-form. Furthermore, their algebraic representation is relatively simple and therefore, convenient to handle both analytically and numerically. This feature is particularly useful for two reasons: firstly because it renders the derived expressions useful mathematical tools that can be utilized in numerous analytic performance evaluation studies in digital communications under fading; secondly because the two dimensional Gaussian Q-function is neither tabulated nor a builtin function in popular mathematical software packages such as Maple, Mathematica and Matlab.

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Simple and accurate approximations for the two dimensional Gaussian Q-function

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