Cooperative communication has been recently proposed in wireless communication systems for exploring the
inherent spatial diversity in relay channels.The Amplify-and-Forward (AF) cooperation protocols with multiple relays
have not been sufficiently investigated even if it has a low complexity in term of implementation. We consider in this
work a cooperative diversity system in which a source transmits some information to a destination with the help of
multiple relay nodes with AF protocols and investigate the optimality of allocating powers both at the source and the
relays system by optimizing the symbol error rate (SER) performance in an efficient way. Firstly we derive a closedform
SER formulation for MPSK signal using the concept of moment generating function and some statistical
approximations in high signal to noise ratio (SNR) for the system under studied. We then find a tight corresponding
lower bound which converges to the same limit as the theoretical upper bound and develop an optimal power allocation
(OPA) technique with mean channel gains to minimize the SER. Simulation results show that our scheme outperforms
the equal power allocation (EPA) scheme and is tight to the theoretical approximation based on the SER upper bound in
high SNR for different number of relays.
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