A unified MGF based approach to the analysis of area under the ROC curve of energy detection over generalized fading channels
Qinghua Shi · 2013
The performance of energy detection, in terms of the area under receiver operating characteristic (AUC), is investigated. By using its contour integral representation, the generalized Marcum Q-function is reformulated as an analytically attractive exponential integral, which in turn allows for a unified moment generating function (MGF) based approach to the AUC analysis of energy detection in an arbitrarily fading channel. The proposed MGF approach is then modified to include square-law combining (SLC) diversity and is further extended to address partial AUC with SLC.