A Multiplication-based Analog Network Coding Relaying Scheme

The current wireless Network Coding Relaying (NCR) is based on XOR operation or superposition operation, this paper proposes an Amplify-and-Forward NCR (AFNCR) cooperative scheme based on the multiplication operation. The relay node realizes the analog network coding by simply mutiplying the two received source signals, then amplifies and forwards it to the destinations. Compared with XOR-based NCR, the scheme is implemented by analog technology, thus the complexity of network coding at relay node is reduced greatly. Moreover, by mutiplying received signals with the local signals to realize the network decoding, its decoding algorithm is simpler than AFNCR. The theoretical analysis shows that its diversity gain is the same as the relay system without network coding. The simulation results show that the scheme gets the comparable performance with the existing NCR.