Anugu, R
(2014)
Error Analysis for Decode and Forward Cooperation In
Nakagami -m Fading For Arbitrary m.
Masters thesis, Indian Institute of Technology Hyderabad.
Abstract
Bit error rate (BER) expressions for Decode and Forward(DF) cooperative systems, compared to amplify and
forward (AF) cooperation, are diffcult to evaluate, hence there is considerable interest in finding analytical
expressions for the BER for DF cooperative systems. In this thesis we obtain exact BER expression in DF
cooperative system for a ff-MRC receiver in Nakagami m fading for multiple relays where m need not be
integer. A different approach is proposed for a single relay.
For single relay, BER analysis is done by employing approximate statistics of a gamma conditionally
gaussian (CG) random variable (RV) (in the decision rule) obtained through the Loskot-Prony approximation.
Numerical results obtained using the analytical BER expressions are shown to closely follow the simulation
results, despite the cumulative distribution function (CDF) of the gamma CGRV being a high signal to noise
ratio (SNR) approximation.
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