α-stable interference modeling and cauchy receiver for an IR-UWB ad hoc network
IEEE Transactions on Communications
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The objective of this paper is to introduce a statistical and physically based mechanism giving rise to CY-stable noise models. We show that the additive interference which is present in many environments can be modeled as symmetric a-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 signal strength with distance. Our approach to a-stable noise modeling is based on the LePage series representation [5] as opposed to the influence function approaches taken in [1],[8]. 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 nonhomogeneous Poisson fields of interferers.