Fountain Codes-based Two-way Multiply-and-Forward Relaying in Rayleigh Fading Channels

In this paper, a three stages fountain codes-based two-way multiply-and-forward (MF) relaying system over the Rayleigh flat fading channel is proposed, where two source nodes communicate with each other through a relay node and all nodes work on half-duplex and time-division mode. The signals during all three stages thoroughly in the proposed system are analyzed and the equivalent point-to-point channel model is further provided. Using the method developed for fountain codes optimization, this paper finally puts forth an optimization model for the MF-two-way relay network (MF-TWRN) with fountain codes. Simulation results show that our optimized degree distribution can provide outstanding bit-error-rate (BER) performance for the MF-TWRN.