Fig. 2

DRSC-SM scheme for cooperative communications. The source S, relay R and destination D are equipped with \(N_{\mathrm{{t}}}\), \(N_{\mathrm{{t}}}\) and \(N_{\mathrm{{r}}}\) antennas, respectively. The RS codes \(RS_1\) and \(RS_2\) are employed at the source and relay nodes, respectively. During time slot 1, the source node encodes the information sequence \(\textbf{m}_{1}\) into codeword \(\textbf{c}_1\), which is given into SM mapper. The generated transmission vector is then sent to relay and destination nodes. During time slot 2, the demodulated codeword by the SM demodulator at the relay node is fed into the \(RS_1\) decoder to generate the estimated information sequence. After the \(RS_2\) encoder, the codeword \(\textbf{c}_2\) is generated and further sent to the SM mapper. Then, the generated transmission vector at the relay is sent to destination node. At the common destination node, the SM demodulator demodulates the received vectors during their time slots. Finally, the joint RS decoder is performed to jointly decode the source and relay signal