Performance assessment for a multi-tier cellular network with alpha-stable interference

In wireless systems such as cellular systems, frequency reuse is employed to extend the
coverage area but this process introduces undesirable co-channel interference. A tradeoff must be
made between increasing system capacity and transmission quality when planning, designing and
deploying such wireless systems. In order to meet the explosive demand for high data rate
wireless services for a growing population within a given geographical area, future wireless
cellular networks will adopt smaller cells, such as femtocells, that are serviced by low-power
base stations. As the deployment of femto-cellular base stations rapidly increases in the coming
years, interference coordination and management will be the primary challenge in such
heterogeneous networks. In this work, we derive a novel closed form expression for the
cumulative distribution function CDF and coverage probability for a small cell wireless network
operating in a Nakagami fading environment in the presence of Gaussian noise and impulsive
interference modeled as an alpha-stable process. With these results, we can determine the
probabilistic access thresholds that provide the best probable tradeoff between system capacity
and network quality.