Influence of the Inequality Aversion Parameter on the Performance of the Atkinson Index Detector

The Atkinson index detector (AID) was recently developed for cooperative spectrum sensing. It is parameterized by the inequality aversion parameter E, which controls sensitivity to data disparities. However, the original publication where the AID was devised did not explore in detail the influence of E in the spectrum sensing performance. This paper addresses this gap by making an in-depth analysis of E in the performance of the AID. It is demonstrated that E=0.1 yields better performances in the majority of practical scenarios, while E=0.5 is the best choice for low-complexity computation of the AID test statistic and better performances in Rayleigh fading channels.