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dc.contributor.authorDietze, Kaien_US
dc.date.accessioned2014-03-14T20:35:46Z
dc.date.available2014-03-14T20:35:46Z
dc.date.issued2001-03-30en_US
dc.identifier.otheretd-05092001-164013en_US
dc.identifier.urihttp://hdl.handle.net/10919/32412
dc.description.abstractThis report, presents an analytical framework for analyzing two-branch diversity systems for a Rayleigh fading channel. In many cases the fading received at both branches (i.e. a two-antenna element system) is correlated because of the proximity of the antenna elements to each other. It is also not uncommon for a diversity system to use antennas with different patterns or polarizations, this usually results in differences in average signal-to-noise ratios at both branches depending on which element is better matched to the signal environment. As will be shown, the performance of a diversity system depends greatly on the envelope correlation, average power imbalance and the combining scheme used on both branches. An analytical expression for the probability density function of the signal-to-noise ratio at the output of a two-branch maximal ratio and selection diversity system is developed in this report. The two branches are assumed to be Rayleigh fading, correlated, as well as of unequal signal-to-noise ratios. Measurements were made in Rayleigh fading channels and compared to the analytical results. The analytical cumulative distribution functions (derived using probability distributions) were found to be within 1 dB of the measured results (statistics obtained from time combining) for both maximal ratio and selection diversity attesting to the validity of the analytic results. Also developed in this report are the exact analytical average probabilities of symbol error for coherent BPSK and coherent QPSK before and after maximal ratio combining for this environment. The diversity gain for selection, maximal ratio, and equal gain combining for the 10% probability level is presented as a function of power imbalance and correlation between branches for a two-branch Rayleigh diversity systemen_US
dc.publisherVirginia Techen_US
dc.relation.haspartdietze_etd.pdfen_US
dc.rightsI hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to Virginia Tech or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.en_US
dc.subjectMaximal Ratioen_US
dc.subjectAntenna Diversityen_US
dc.subjectSelection Diversityen_US
dc.subjectBPSKen_US
dc.subjectCorrelated Channelsen_US
dc.subjectRayleigh Channelen_US
dc.subjectDiversity Gainen_US
dc.subjectQPSKen_US
dc.titleAnalysis of a Two-Branch Maximal Ratio and Selection Diversity System with Unequal Branch Powers and Correlated Inputs for a Rayleigh Fading Channelen_US
dc.typeThesisen_US
dc.contributor.departmentElectrical and Computer Engineeringen_US
thesis.degree.nameMaster of Scienceen_US
thesis.degree.levelmastersen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
dc.contributor.committeechairStutzman, Warren L.en_US
dc.contributor.committeememberWoerner, Brain D.en_US
dc.contributor.committeememberReed, Jeffrey Hughen_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05092001-164013/en_US
dc.date.sdate2001-05-09en_US
dc.date.rdate2002-05-14
dc.date.adate2001-05-14en_US


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