Optimization of packet length for two way relaying with energy harvesting

In this article, we suggest optimizing packet length for two way relaying with energy harvesting. In the first transmission phase, two source nodes N₁ and N₂ are transmitting data to each others through a selected relay R. In the second phase, the selected relay will amplify the sum of the signals received signals from N₁ and N₂. The selected relay amplifies the received signals using the harvested energy from Radio Frequency (RF) signals transmitted by nodes N₁ and N₂. Finally, N₁ will remove, from the relay's signal, its own signal to be able to decode the symbol of N₂. Similarly, N₂ will remove, from the relay's signal, its own signal to be able to decode the symbol of N₁. We derive the outage probability, packet error probability and throughput at N₁ and N₂. We also optimize packet length to maximize the throughput at N₁ or N₂.