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dc.contributor.authorConne, Christopher
dc.contributor.otherQueen's University (Kingston, Ont.). Theses (Queen's University (Kingston, Ont.))en
dc.date2009-08-04 12:02:41.495en
dc.date.accessioned2009-08-14T16:50:43Z
dc.date.available2009-08-14T16:50:43Z
dc.date.issued2009-08-14T16:50:43Z
dc.identifier.urihttp://hdl.handle.net/1974/2591
dc.descriptionThesis (Master, Electrical & Computer Engineering) -- Queen's University, 2009-08-04 12:02:41.495en
dc.description.abstractA multi-hop, amplify-and-forward (AF), cooperative diversity system with K relays is studied. An accurate approximate expression for the symbol-error-rate (SER) is derived for the multi-hop system. Also, a lower bound for the outage probability of the system, that is tight throughout nearly the entire signal-to-noise ratio (SNR) range, is presented. Neither an SER expression nor an outage probability expression had previously been reported in the literature for the multi-hop system. To assist in the derivation of the SER expression, the cumulative density function (CDF), probability density function (PDF), and moment generating function (MGF) are found for the random variable (RV), Z = X Y / (X + Y + c), where X and Y are RVs which have PDFs that are sums of terms of the form x^n exp(-b x). It is shown that with the CDF, PDF, and MGF of this type of RV, it is possible to derive an expression for the SER of the multi-hop system for several important scenarios with respect to what type of fading is present in the channels of the system. To assist in the derivation of the lower bound of the outage probability, the CDF is found for an interesting new RV, presented in a recursive formula, that is used to represent the upper bound of the instantaneous end-to-end SNR of the multi-hop system. These mathematical results are useful beyond the scope of the multi-hop system researched in this thesis. Also, many of the results found in this thesis for the previously-scarcely-studied multi- hop sytem are shown to be generalizations of results that had been found for the previously-often-studied two-hop, AF, cooperative diversity system with K relays.en
dc.format.extent547391 bytes
dc.format.mimetypeapplication/pdf
dc.languageenen
dc.language.isoenen
dc.relation.ispartofseriesCanadian thesesen
dc.rightsThis publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner.en
dc.subjectCooperative diversityen
dc.subjectMulti-hopen
dc.subjectAmplify-and-Forwarden
dc.subjectRelay Systemsen
dc.titleCooperative Diversity in Wireless Transmission: Multi-hop Amplify-and-Forward Relay Systemsen
dc.typethesisen
dc.description.degreeMasteren
dc.contributor.supervisorKim, Il-Minen
dc.contributor.departmentElectrical and Computer Engineeringen


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