A simple and efficient multi-way relay network coding scheme

For full-data exchange multi-way relay channels, a novel efficient multi-way relay network coding scheme is proposed. It is based on multi-stage two-way network coding, which is low-complexity and high reliable. For the channel without noise, the throughput per node per channel is increased by 50 % compared to plain routing, and even by 12.5% compared to the binary-signaling network coding scheme. Besides, due to the simple nature of 3-pulse amplitude modulation (3-PAM), it has much lower complexity and much higher reliability compared to the binary-signaling network coding scheme. Both theoretical analysis and computer simulations prove such throughput gain. On the additive white Gaussian noise (AWGN) channel, low density parity check (LDPC) codes are utilized in this scheme to improve the reliability. The simulation results show that the signal-to-noise ratio (SNR) gains to reference scheme increase as the number of the source nodes increases, and the SNR gains of the LDPC-coding scheme are even bigger than the uncoding scheme.