ANALYTIC ALPHA-STABLE NOISE MODELING IN A POISSON FIELD OF INTERFERERS OR SCATTERERS

This paper addresses non-Gaussian statistical modeling of interference as a superposition of a large number of small effects from terminals/ scatterers distributed in the plane/volume according to a Poisson poin t process. This problem is relevant to multiple access communication s ystems without power control and radar. Assuming that the signal stren gth is attenuated over distance tau as 1/tau(m), we show that the inte rference/clutter could be modeled as a spherically symmetric alpha-sta ble noise. A novel approach to stable noise modeling is introduced bas ed on the LePage series representation. This establishes grounds to in vestigate practical constraints in the system model adopted, such as t he finite number of interferers and nonhomogeneous Poisson fields of i nterferers. In addition, the formulas derived allow us to predict nois e statistics in environments with lognormal shadowing and Rayleigh fad ing, The results obtained are useful for the prediction of noise stati stics in a wide range of environments with deterministic and stochasti c power propagation laws. Computer simulations are provided to demonst rate the efficiency of the alpha-stable noise model in multiuser commu nication systems. The analysis presented will be important in the perf ormance evaluation of complex communication systems and in the design of efficient interference suppression techniques.