MGF Approach Based Analysis Of Energy Detection In K -M Shadowed Fading Channels And Diversity Receivers

Abstract

In this paper, the performance of Energy Detection (ED) over  _K-M  shadowed fading channel is investigated using the Moment Generating Function (MGF) of the received Signal-to-Noise Ratio (SNR). The   _K-M shadowed is a generic composite fading channel of  _{K- M}   fading and which represents the impact of multipath in line-of sight (LoS) communication scenario and Nakagami _{- m}  distribution. The study is then extended to include Maximal Ratio Combining (MRC), Square Law Combining (SLC), and Square Law Selection (SLS) diversity receivers. The simulation and numerical results for the Complementary Receiver Operating Characteristics (CROC) and average Area under the CROC (CAUC) curves are given for different scenarios and compared with some previous works. These results show an improvement in the overall detection capability of ED is noticed when the diversity receptions are employed. In contrast to previous works which are limited by the values of the fading parameters, the proposed approach is not restricted by any condition.