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In this paper, we consider a functional decode and forward (FDF) multi-wayrelay network (MWRN) where a common user facilitates each user in the networkto obtain messages from all other users. We propose a novel user pairingscheme, which is based on the principle of selecting a common user with thebest average channel gain. This allows the user with the best channelconditions to contribute to the overall system performance. Assuming latticecode based transmissions, we derive upper bounds on the average common rate andthe average sum rate with the proposed pairing scheme. Considering M-aryquadrature amplitude modulation with square constellation as a special case oflattice code transmission, we derive asymptotic average symbol error rate (SER)of the MWRN. We show that in terms of the achievable rates, the proposedpairing scheme outperforms the existing pairing schemes under a wide range ofchannel scenarios. The proposed pairing scheme also has lower average SERcompared to existing schemes. We show that overall, the MWRN performance withthe proposed pairing scheme is more robust, compared to existing pairingschemes, especially under worst case channel conditions when majority of usershave poor average channel gains.

A Novel User Pairing Scheme for Functional Decode-and-Forward Multi-way Relay Network