The Generalized MGF Approach to Closed-Form Average Symbol Error Rate Calculation

The research presents the generalization of the moment generating function approach to the problem of the closed-form average symbol error rate calculation (ASER). A Hankel-type contour integral representation of the Gauss Q-function is obtained based on its connection with the generalized Marcum Q-function. The closed-form solutions for the integrals of the averaged Gaussian Q-function and its squared version were derived for the factorized power-type moment generating function (MGF). The results were applied to the analytic derivation of the quadrature amplitude modulated (QAM) signal ASER and its asymptotic form in presence of Fluctuating Beckmann fading.