Lattice reduction aided MIMO two way relay network coding

Recently, the network coding which permitting relay node make a properly process for the received multiple information and forward to multiple nodes has attracted a great deal of concerns. The MIMO two way relay network coding could divided into two phases: in the first phase, the two sources separately use the preceding design method which based on the lattice basis reduction to precede the transmitted signal, then transmit simultaneously to relay node; relay node uses the means of probability analysis to get the threshold region of bit-wise exclusive-or(XOR) and realize the XOR mapping, then broadcasts the XOR data to the two source nodes. Performance evaluations confirm that the proposed method can significantly improve the bit error ratio over the straight amplify and forward multiple antenna two way relay network coding.