Moment generating function of macrodiversity system with three microdiversity MRC receivers in Gamma shadowed Nakagami-m fading channel

Macrodiversity system with selection combining diversity receiver and three microdiversity maximal ratio combining diversity receivers operating over correlated Gamma shadowed Nakagami-m multipath fading environment is considered. Moment generating function (MGF) of microdiversity MRC receivers output signals are calculated. By using these formulas, closed form expression for MGF function of macrodiversity SC receiver output signal envelope is evaluated. 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 Nakagami-m severity parameter, Gamma shadowing severity parameter and correlation coefficient of shadowing on MGF.