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Stochastic Modeling of Wireless Communications in a Fading Environment via Fox's H-Function

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Date Issued:
2017
Summary:
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.
Title: Stochastic Modeling of Wireless Communications in a Fading Environment via Fox's H-Function.
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Name(s): Mukasa, Constantine, author
Aalo, Valentine A., Thesis advisor
Florida Atlantic University, Degree grantor
College of Engineering and Computer Science
Department of Computer and Electrical Engineering and Computer Science
Type of Resource: text
Genre: Electronic Thesis Or Dissertation
Date Created: 2017
Date Issued: 2017
Publisher: Florida Atlantic University
Place of Publication: Boca Raton, Fla.
Physical Form: application/pdf
Extent: 214 p.
Language(s): English
Summary: 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.
Identifier: FA00005934 (IID)
Degree granted: Dissertation (Ph.D.)--Florida Atlantic University, 2017.
Collection: FAU Electronic Theses and Dissertations Collection
Note(s): Includes bibliography.
Subject(s): Dissertations, Academic -- Florida Atlantic University
Wireless communications systems.
Stochastic modeling.
H-functions.
Held by: Florida Atlantic University Libraries
Sublocation: Digital Library
Persistent Link to This Record: http://purl.flvc.org/fau/fd/FA00005934
Use and Reproduction: Copyright © is held by the author, with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.
Use and Reproduction: http://rightsstatements.org/vocab/InC/1.0/
Host Institution: FAU
Is Part of Series: Florida Atlantic University Digital Library Collections.