Date of Award
2017
Document Type
Dissertation
Publication Status
Version of Record
Submission Date
October 2026
Thesis/Dissertation Advisor [Chair]
Aalo, Valentine A.
Abstract
In wireless communications systems, it is well known that the instantaneous received signal is a random variable that follows a given distribution. The randomness mainly stems from e ects such as multipath fading, shadowing, and interference. The received signal is a relevant metric, such that several distributions have been used in the literature to characterize it. However, as new radio technologies emerge, the known distributions are deemed insu cient to t simulated and measure data. Subsequently, as the wireless industry moves onto the fth generation (5G), newer distributions are proposed to well represent the received signal for new wireless technologies, including those operating in the millimeter-wave (mmWave) band. These are mainly application speci c and may not be adequate to model complex 5G devices performance. Therefore, there is a need to unify and generalize the received signal distributions used for performance analysis of wireless systems. Secondly, an explosion of new radio technologies and devices operating in the same limited radio spectrum to collect and share data at alarming rates is expected. Such an explosion coupled with the 5G promise of ubiquitous connectivity and network densi cation, will thrust interference modeling in dense networks to the fore-front. Thus, interference characterization is essential when analyzing such wireless networks. Thirdly, the classical distributions used to model the received signal do not account for the inherent mobility feature for emerging radio technologies, such as avionics systems (e.g. drones), which may make the distributions inadequate as mobility e ects can no longer be ignored. Consequently, in this dissertation, we propose the use of a unifying distribution, the Fox's H-function distribution, with subsume ability to represent several traditional and future distributions, as a statistical tool to evaluate the performance of wireless communications systems. Additionally, two interference models, one with a xed number and the other with a random number of interferers, are considered to derive interference statistics, and further utilize the results to analyze system performance under the e ect of interference. Finally, we extend the classical distributions to include the mobility regime for several wireless network topologies, and perform network analysis. The analytical results are validated using computer Monte Carlo simulations.
Extent
214 p.
Recommended Citation
Mukasa, Constantine, "Stochastic Modeling of Wireless Communications in a Fading Environment via Fox's H-Function" (2017). Electronic Theses and Dissertations 2010 - 2019. 1788.
https://digitalcommons.fau.edu/etd_general_6/1788
Identifier
FA00005934
Comments
Includes bibliography.|Dissertation (Ph.D.)--Florida Atlantic University, 2017.|FAU Electronic Theses and Dissertations Collection|Includes bibliography.