  This paper develops a new distributed power control scheme for a power
splitting-based interference channel (IFC) with simultaneous wireless
information and power transfer (SWIPT). The considered IFC consists of multiple
source-destination pairs. Each destination splits its received signal into two
parts for information decoding and energy harvesting (EH), respectively. Each
pair adjusts its transmit power and power splitting ratio to meet both the
signal-to-interference-plus-noise ratio (SINR) and EH constraints at its
corresponding destination. To characterize rational behaviors of
source-destination pairs, we formulate a non-cooperative game for the
considered system, where each pair is modeled as a strategic player who aims to
minimize its own transmit power under both SINR and EH constraints at the
destination. We derive a sufficient and necessary condition for the existence
and uniqueness of the Nash equilibrium (NE) of the formulated game. The best
response strategy of each player is derived and then the NE can be achieved
iteratively. Numerical results show that the proposed game-theoretic approach
can achieve a near-optimal performance under various SINR and EH constraints.
