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An energy harvesting (EH) and information processing network based on two-way multiplicative relay is proposed. In the proposed scheme, two nodes communicate with each other via an energy constrained multiplicative relay node. The relay node uses power splitting-based relaying protocol for EH and information processing. The numerical results show that the proposed scheme outperforms the legacy amplify-and-forward EH relaying technique.Introduction: Radio frequency (RF) energy harvesting (EH) is a promising technique to prolong network lifetime where physically recharging the batteries of devices is not possible [1]. A two-way amplify-and-forward (AF)-based EH relay has been analysed by Chen et al. in [2]. The analysis reveals that the two-way AF relaying is a greener and more reliable solution that results in high transmission rates. On the one hand, AF relaying has low complexity so it is easy to implement. However, on the other hand, it amplifies noise along with the intended signal thus reducing the signal-to-noise ratio (SNR) at the destination. Xu et al.[3] have studied the properties of a product relay in legacy two-way relay networks. It has been shown that for higher SNR, the product relay provides low bit error ratio compared to AF relaying. The relay used in [3] is not energy constrained and it does not harvest energy. In this Letter, we introduce two-way multiplicative relay that additionally harvests energy.

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