Analysis of the performance of cooperative spectrum sensing over correlated Log-Normal shadowing with the moment generation function

A method is proposed for analyzing the performance of cooperative spectrum sensing in correlated Log-Normal shadow-fading environment. The probability density function (PDF) of Log-Normal sum is approximated by improving Schwartz-Yeh (I-SY), in which mean and derivation are obtained by moment generation function (MGF) instead of recursive Log-Normal approximation in Schwartz-Yeh (SY). The extension to the correlated scenario is made. Then an expression for calculating the average detection probability is obtained with the derivatives of MGF of Log-Normal RVs sum. Finally the performance of cooperative spectrum sensing is investigated using the method. Simulation results prove the reliability of the method.