| Summary: | In this paper, the hybrid spatial modulation (SM) aided virtual multiple-input multiple-output one-way and two-way relaying architectures with multiple distributed single-antenna relay nodes are studied. For the one-way relaying with multiple-antenna source and destination nodes, a two-stage relay detector is proposed. In the proposed detector, first, the relay node determines its state, active or silent, through the energy-based threshold detection; second, the signal is estimated and forwarded only when the relay node is active. Furthermore, the threshold is designed based on a simplified error probability criterion. For the two-way relaying with two multiple-antenna source nodes, a two-phase relaying based on signal constellation rotation and simple XOR network coding (NC) is presented. First, both source nodes transmit pre-coding-aided SM symbols simultaneously to relay nodes. Second, the relay nodes estimate the source signals, perform XOR NC, and broadcast the relay signal to both source nodes through the distributed SM. To improve the detection performance of relay nodes, the signal constellation used at one source node is a rotated version of that at the other source node, and the optimization of the rotation angle is presented. Finally, the validity of both the proposed detector for one-way relaying and the proposed relay protocol for two-way relaying is justified by simulation results.
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