Cooperative Diversity in Wireless Transmission: Multi-hop Amplify-and-Forward Relay Systems
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Authors
Conne, Christopher
Date
2009-08-14T16:50:43Z
Type
thesis
Language
eng
Keyword
Cooperative diversity , Multi-hop , Amplify-and-Forward , Relay Systems
Alternative Title
Abstract
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.
Description
Thesis (Master, Electrical & Computer Engineering) -- Queen's University, 2009-08-04 12:02:41.495
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