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Device-to-Device (D2D) communication and heterogeneous networks have been considered as promising techniques for alleviating the demand both for increased spectral resources and for additional infrastructure required for meeting the increased tele-traffic. For the sake of improving both the bandwidth efficiency and the network capacity of heterogeneous cellular networks constituted by multiple tiers, a direct D2D communication is arranged between a pair of nearby devices without involving the base station (BS), whilst reusing the cellular resources. We aim for maximising the sum-rate of the energy harvesting (EH) aided D2D links in a two-tier heterogeneous network by superimposing their messages on the downlink resources of mobile users (MUs), which is achieved without unduly degrading MU's throughput. Specifically, our optimization problem relies on the objective function of maximising the D2D sum …