Performance Analysis of Relay Selection for Bi-Directional Cooperative Network

In this paper, we compare three different relay schemes and propose a mixed relay selection algorithm in a bi-directional cooperative networks. In the multiple access phase, both terminals transmit their messages to $\emph{N}$ half-duplex relay nodes in an orthogonal way. Then, the relays take the mixed scheme, a threshold-based adaptive relay selection scheme combining conventional partial decode-and-forward and compress-and-forward, to optimize the relay function while satisfying a given outage requirement. Simulation results show that the proposed mixed relay selection strategy optimize the relay function via functional analysis such that the average probability of error is minimized in the high signal-to-noise ratio ($SNR$) regime.