The presence of non-Gaussian ambient channel noise in wireless systems can degrade the performance of existing blind MUD (MultiUser Detection) method.We investigate the problem of blind MUD in alpha stable distribution noisy communication channels by addressing the negative effects of heavy-tailed noise to the original blind MUD algorithm.This paper proposes a new MOE (Minimum Output Energy) criterion employing FLOS (fractional lower-order statistic).The associated FLOS-MOE blind MUD method

based on a stochastic gradient descent algorithm

is able to mitigate impulsive channel noise and MAI (multiple address interference).Theoretical analyses and the computer simulations indicate that the new detector is not only suitable for Gaussian noise condition

but also robust under impulse noise condition.