A 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. / Thesis (Master, Electrical & Computer Engineering) -- Queen's University, 2009-08-04 12:02:41.495
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:OKQ.1974/2591 |
| Date | 14 August 2009 |
| Creators | CONNE, CHRISTOPHER |
| Contributors | Queen's University (Kingston, Ont.). Theses (Queen's University (Kingston, Ont.)) |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English, English |
| Detected Language | English |
| Type | Thesis |
| Format | 547391 bytes, application/pdf |
| Rights | This 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. |
| Relation | Canadian theses |
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