AEF Analysis of Central Limit Theory Approximation in Spectrum Sensing

Cognitive radio has become an effective theory to solve the inefficiency of the spectrum usage, especially the energy detection in spectrum sensing technique. Recently several researches have focused on the performances of sensing using Gaussian approximation instead of real chi-square distribution based on central limit theory. In this paper, we specifically investigated the errors caused by approximation under both hypothesizes of absence and presence of the primary users, through an error function named AEF, which is introduced to intensively analyze the specific approximation performances. We listed the exact numerical relationship between the minimum absolute errors and the corresponding probabilities in TABLE I and TABLE II, to facilitate looking up the most suitable zones that researchers might be interested in.