Performance analysis of decode-and-forward scheme multiple-hop MIMO relay system

Multi-hop MIMO relay systems have been discussed in several published papers. However, the diversity as well as the capacity is obtained when the signal to noise ratio (SNR) is assumed to be fixed. In this paper, to obtain a high channel capacity, we express a propagation process of multi-hop MIMO relay system with decode-and-forward (DF) method by numerical formula, and the position of each relay, meaning the distance between each transceiver is optimized. The channel capacity of DF system is compared to that of AF system. In addition, the limitation of channel capacity when the number of relay tends to infinity is considered.