2015/05/15 by Paschalis C. Sofotasios, Sofotasios, Paschalis C., Steven Freear +1
Computer Science · Engineering · Mathematics · #Advanced Wireless Communication Techniques #Error Correcting Code Techniques #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Communication Networks Research #cs.IT #math.IT
paper · pdf · doi:10.48550/arxiv.1505.04005
11 pages
arxiv created 2015/05/15 · openalex publication_date 2015/05/15 · arxiv updated 2015/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 built-in function in popular mathematical software packages such as Maple, Mathematica and Matlab.