Impulsive interference is a strong limitation in ultra wide band systems or ad hoc networks. Using stochastic geometry without considering a guard zone around the receiver leads to an alpha-stable distribution for this interference. Based on this assumption, it is possible to design efficient receivers, close to the optimal maximum likelihood. However, the accuracy of the stable model can be questioned. The near field behaviour is not accounted for and received power can go to infinity, which of course is unrealistic. Our contribution is to show that the receiver designed for stable interference is still robust if the impulsive behaviour is not a stable random variable or if it is isotropic, meaning that the independent samples assumption is not true.