Tight Approximations for the Two Dimensional Gaussian $Q-$function
نویسندگان
چکیده
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 closedform. 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 built-in function in popular mathematical software packages such as Maple, Mathematica and Matlab.
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عنوان ژورنال:
- CoRR
دوره abs/1505.04005 شماره
صفحات -
تاریخ انتشار 2015