MGF Based Calculation of ABEP for Macrodiversity Receiver over Gamma-Shadowed Fading Environment with Line-of-Sight

The macro diversity (MD) system consisting of macro-diversity (MD) selection combining (SC) receiver and two micro-diversity (mD) maximal ratio combining (MRC) receivers is considered in this paper. The diversity combining receivers operating over correlated Gamma shadowed Rician multipath fading environment is analyzed. Moment generating function (MGF) of mD MRC receivers output signals is calculated in a closed-form. Furthermore, the expression for MGF function of macro-diversity SC receiver output signal envelope is performed. This result can be used for calculation the bit error probability of proposed macrodiversity system with several modulation schemes. Numerical results are presented graphically to show the influence of number of diversity branches, Rician severity parameter, Gamma shadowing severity parameter and correlation coefficient of shadowing on observed system performance.