The performance of modern communication systems is limited by interference, fading, and noise, all of which can be modeled as random processes. A key source of randomness in the interference is the random location and activity of the interfering transmitters. In collaboration with Dr. Don Torrieri [J24], we have developed a performance analysis for systems subject to Nakagami fading (a general type of fading distribution) and arbitrarily placed interferers, and draw parallels between this work and interference analysis based on stochastic geometry. This analytical framework is described in my presentation at Clemson University. We have used this framework to optimize and characterize the performance of ad hoc networks using frequency hopping [C73, C77] or guard zones [J25], multihop routing [C81], the cellular uplink [J26], the cellular downlink [C75, C82]. A key theme in this work is the imposition of a constrained spatial model; i.e., a model that requires a minimum separation between interferers.