Analyzing LTE Small Cell Interference Distribution via Fading Factorial Moments

Zoltán Jakó, Gábor Jeney


In LTE-A (LTE-Advanced) the macro base station
structure will be augmented with outdoor and indoor small cells
in order to increase the system data rate via providing better
signal coverage for potential users. However, densely small cell
deployment generates remarkable interference, especially operating
in same spectra. This paper investigates the total interference
power’s distribution generated by the small cells in the UE’s
receiver. The location of the small cells is kept random and
modelled as a spatial homogeneous Poisson Point Process (SPPP).
The cumulative distribution function (c.d.f) of the interference is
investigated in the power domain in case of Nakagami-m, Rician
and Weibull faded channels. The contribution of this paper is
that the interference’s cumulative distribution function follows
a special symmetric alpha-stable distribution (SaS) distribution,
namely Lévy distribution. This kind of distribution is one the rare
alpha-stable distributions, that can be characterized with a closed
form c.d.f. Monte Carlo simulations confirmed the validity of the
analytic forms.


Lévy distribution, probability, Poisson Point process, LTE-A, Small cell

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