Cooperative Communications and Networking
Cooperative Communications and Networking
Relay ordering in a multi-hop cooperative diversity network
IEEE Transactions on Communications
Multinode Cooperative Communications in Wireless Networks
IEEE Transactions on Signal Processing
End-to-end performance of transmission systems with relays over Rayleigh-fading channels
IEEE Transactions on Wireless Communications
Exact symbol error probability of a Cooperative network in a Rayleigh-fading environment
IEEE Transactions on Wireless Communications
Symbol error probabilities for general Cooperative links
IEEE Transactions on Wireless Communications
Error probability of digital communications using relay diversity over Nakagami-m fading channels
IEEE Transactions on Wireless Communications - Part 2
Cooperative diversity in wireless networks: Efficient protocols and outage behavior
IEEE Transactions on Information Theory
Outage probability of multi-hop amplify-and-forward relay systems
IEEE Transactions on Wireless Communications
Performances of Amplify-and-Forward Cooperative Relay Networks with Different Topologies
Wireless Personal Communications: An International Journal
Wireless Personal Communications: An International Journal
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An amplify-and-forward, multi-branch, multi-hop elay system with K relays, in which the relays broadcast to other relays as well as the destination, is analyzed. An approximate symbol-error-rate (SER) expression, which is valid for any number of relays and for several modulation schemes, is found for the multi-hop system. Also, the cumulative density function (CDF) and probability density function (PDF) are found for the random variable, Z = Xy / (X + Y + c), where X and Y are sums of independent, Erlang random variables, and c is a constant. The moment generating function (MGF) of Z is found for the special case in which c = O. It is shown that these results are generalizations of previously published results for special cases of Z. The MGF of Z is used to develop the approximate SER expression. Results for the analytic SER expression are included and compared with simulation results for various values of K, for various modulation schemes, and for two choices of system parameters (channel variances). Results for the multi-hop system are also compared to results for the two-hop system (in which relays transmit only to the destination).