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To determine the transmission strategy for joint wireless information andenergy transfer (JWIET) in the MIMO interference channel (IFC), the informationaccess point (IAP) and energy access point (EAP) require the channel stateinformation (CSI) of their associated links to both the information-decoding(ID) mobile stations (MSs) and energy-harvesting (EH) MSs (so-called localCSI). In this paper, to reduce th e feedback overhead of MSs for the JWIET intwo-user MIMO IFC, we propose a Geodesic energy beamforming scheme thatrequires partial CSI at the EAP. Furthermore, in the two-user MIMO IFC, it isproved that the Geodesic energy beamforming is the optimal strategy. By addinga rank-one constraint on the transmit signal covariance of IAP, we can furtherreduce the feedback overhead to IAP by exploiting Geodesic informationbeamforming. Under the rank-one constraint of IAP's transmit signal, we provethat Geodesic information/energy beamforming approach is the optimal strategyfor JWIET in the two-user MIMO IFC. We also discuss the extension of theproposed rank-one Geodesic information/energy beamforming strategies to generalK-user MIMO IFC. Finally, by analyzing the achievable rate-energy performancestatistically under imperfect partial CSIT, we propose an adaptive bitallocation strategy for both EH MS and ID MS.

Joint Wireless Information and Energy Transfer with Reduced Feedback in MIMO Interference Channels