Generating Generalized Exponentially Distributed Random Variates with Transformed Density Rejection and Ratio-of-Uniform Methods

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dc.contributor.authorYang, Yiken
dc.contributor.committeechairTranter, William H.en
dc.contributor.committeememberBuehrer, R. Michaelen
dc.contributor.committeememberScales, Wayne A.en
dc.contributor.departmentElectrical and Computer Engineeringen
dc.date.accessioned2014-03-14T20:33:08Zen
dc.date.adate2005-04-11en
dc.date.available2014-03-14T20:33:08Zen
dc.date.issued2004-12-21en
dc.date.rdate2005-04-11en
dc.date.sdate2005-04-04en
dc.description.abstractTo analyze a communication system without the aid of simulation, the channel noise for the simulation must be assumed to be normal. The assumption is often valid, but the normal distribution may not be able to model the channel noise adequately in some environments. This thesis will explore the generalized exponential distribution for better noise modeling and robustness testing in communication system. When using the generalized exponential distribution for the channel noise, the analysis will become analytically intractable, and simulation becomes mandatory. To generate the noise with the distribution, the rejection method can be used. However, since the distribution can take on different shapes, finding the appropriate Upper Bounding Function (UBF) for the method is very difficult. Thus, two modified versions of the rejection method will be examined. They are the Transformed Density Rejection (TDR) and Ratio-of-Uniform (RoU) method; their quality, efficient, trade-offs, etc will be discussed. Choosing TDR, a simulation of a BPSK communication system will be performed. With the simulation, it can further ascertain that the random variates generated by TDR can be used to model the channel noise and to test the robustness of a communication system.en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-04042005-100546en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-04042005-100546/en
dc.identifier.urihttp://hdl.handle.net/10919/31623en
dc.publisherVirginia Techen
dc.relation.haspartYikYang.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectTransformed Density Rejectionen
dc.subjectRatio-of-Uniformen
dc.subjectRandom Variates Generationen
dc.subjectGeneralized Exponential pdfen
dc.titleGenerating Generalized Exponentially Distributed Random Variates with Transformed Density Rejection and Ratio-of-Uniform Methodsen
dc.typeThesisen
thesis.degree.disciplineElectrical and Computer Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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