Impulsive noise modeling with stable distributions in fading environments

The paper introduces a statistical and physically based mechanism giving rise to α-stable noise models. We show that the additive interference which is present in many environments can be modeled as symmetric α-stable by assuming: (i) independent signaling (effects) from a large number of interferers of the same type (modulation); (ii) Poisson distribution of interferers in space; and (iii) inverse power attenuation of the signal strength with distance. Our approach to α-stable noise modeling is based on the LePage series representation as opposed to the influence function approaches. The formulas derived are used to predict noise statistics in environments with lognormal shadowing and Rayleigh fading. The LePage series framework allows us to investigate practical constraints in the system model adopted, such as the finite number of interferers and the nonhomogeneous Poisson fields of the interferers. We characterize the interference for multiple access communication systems in which the interferers are assumed to be Poisson-distributed in the plane