Date of Award

Spring 1-1-2013

Document Type


Degree Name

Doctor of Philosophy (PhD)


Electrical, Computer & Energy Engineering

First Advisor

Timothy X Brown

Second Advisor

Youjian Liu

Third Advisor

Francois G. Meyer

Fourth Advisor

Juan G. Restrepo

Fifth Advisor

Sayandev Mukherjee


This thesis studies the interference performance of large-scale wireless communications systems. Mathematical models are developed for ad-hoc networks, cellular networks, multi-tier (heterogeneous cellular) networks, cognitive radio networks and the massive-MIMO networks based on stochastic geometry where the nodes of the network are distributed in a space according to a spatial stochastic (random) process. Analytical characterizations for important performance metrics such as the distribution of the signal to interference plus noise ratio, outage probability, average rate, etc. are obtained for the most general channel conditions and system scenarios.

In the past the above mentioned wireless systems have been studied through large system simulations which suffer from computational infeasibilities and provide limited insights about the system. The mathematical models are shown to closely approximate the practical systems in scattering and fading rich environments. Using the tools in stochastic geometry and stochastic ordering, we demonstrate analytical tractability of these models and closed-form characterizations of important performance metrics of the systems. The tools developed in this work can be used to characterize the achievable performance gains with interference mitigation techniques employed in 4G LTE such as fractional frequency reuse, relays, multi-cell coordination and in the study of MIMO and secrecy networks.